Publications

Narayan, N. S., Marziliano, P., Kanagalingam, J., Hobbs, C.G.L. (2014), "Specke in Ultrasound Images: Friend or Foe?", IEEE International Conference on Image Processing, Paris, France, Oct. 27-30, 2014.
Abstract: Contrary to the popular belief of treating speckle related pixels as noise and .ltering an ultrasound image for speckle noise removal, the practical importance and use of these pixels in performing a multi-organ segmentation of the thyroid gland is studied in this research work. In this work, speckle related pixels are classified into three echogenic levels and then used to segment an ultrasound image of the thyroid gland into the trachea, carotid, muscles and thyroid. Novel techniques are introduced to estimate the anterior boundaries of the thyroid gland using low pass filtered intensity gradients of the hyperechoic speckle pixels in transverse and longitudinal ultrasound scans, respectively. An energy functional similar to active contour models is defined to segment that carotid artery using hypoechoic speckle pixels. The proposed technique was executed on 88 images of the thyroid gland. Clinical significance of using speckles to segment is determined by validating on 32 images of the thyroid gland by measuring the overlap with the ground truth segmentation obtained from two expert doctors using Dice coefficient as the overlap measure.
BibTeX:
@inproceedings{NarayanMKH2014,
  author = { Narayan, N. S.,  Marziliano, P., Kanagalingam, J., Hobbs, C.G.L.},
  title = { Specke in Ultrasound Images: Friend or Foe?},
  booktitle = {ICIP},
  year = {2014},
  volume = {},
  pages = {},
  doi = {}
}

biomed_

Soe, N., Marziliano, P., Wong, H-T. (2014),"Angle Closure Glaucoma Detection Using Fractal Dimension Index on SS-OCT Images ", 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Chicago, USA, August 26-30, 2014.
Abstract: Optical coherence tomography (OCT) is a high resolution, rapid and non-invasive screening tool for angle closure glaucoma. In this paper, we propose a new strategy for automatic and landmark invariant quanti.cation of the anterior chamber angle of the eye using swept source optical coherence tomography (SS-OCT) images. Seven hundred and eight swept source optical coherence tomography SS-OCT images from 148 patients with average age of (59.48 ± 8.97) were analyzed in this study. The angle structure is measured by fractal dimension (FD) analysis to quantify the complexity or changes of angle recess. We evaluated the FD index with biometric parameters for classi.cation of open angle and angle closure glaucoma. The proposed fractal dimension index gives a better representation of the angle con.guration for capturing the nature of the angle dynamics involved in different forms of open and closed angle glaucoma (1.944 ± 0.045 for open and 1.894 ± 0.043 for closed angle). It showed that the proposed approach has promising potential to become a computer aided diagnostic tool for angle closure glaucoma (ACG) disease.
BibTeX:
@inproceedings{SoeMW2014,
author = { Soe, N., Marziliano, P., Wong, H-T.},
  title = { Angle Closure Glaucoma Detection Using Fractal Dimension Index on SS-OCT Images},
  booktitle = {EMBC},
  year = {2014},
  volume = {},
  pages = {},
  doi = {}
}

biomed_

Nair, A., Marziliano, P. (2014),"P and T Wave Detection on Multichannel ECG using FRI", 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Chicago, USA, August 26-30, 2014.
Abstract: This paper proposes a new method for detecting P and T waves in multilead ECG based on the Finite Rate of Innovation(FRI) technique [8]. A simple QRS detection scheme will be presented followed by a novel P and T wave detection algorithm. The novelty here is the modelling of the P and T wave using a Gaussian kernel. Using a 2D wavelet decomposition, the approximation coefficients are windowed based on the QRS locations. The FRI method is then used to identify the Gaussian distribution present in the window which will in turn provide the locations of the P and T wave. This method was tested on more than an hour of clean and noisy data and shows good performance in the noisy case.
BibTeX:
@inproceedings{NairM2014b,
author = { Nair, A. and Marziliano, P.},
  title = { P and T Wave Detection on Multichannel ECG using FRI},
  booktitle = {EMBC},
  year = {2014},
  volume = {},
  pages = {},
  doi = {}
}

biomed_

Nair, A., Marziliano, P. (2014),"Fetal Heart Rate Detection Using VPW-FRI", IEEE International Conference on Acoustics, Speech and Signal Processing, Florence, Italy, May 4-9, 2014.
Abstract: Fetal Electrocardiograms (fECG) are an inexpensive and noninvasive method to determine the heart rate (HR) of the fetus. Large variations in the fetal HR is a good indicator that the fetus is in distress thus allowing for clinical intervention. Although advances have been made in the field of fetal HR detection, more can be done to improve accuracy and efficiency. The Variable Pulse Width - Finite Rate of Innovation (VPWFRI) method is a suitable method given it deals with pulse parameters such as location, width and amplitude. This allows it to automatically segment and identify the foetal QRS complexes and R peak locations from compressed samples which in turn would yield the fetal HR. Our method, which includes model based denoising and multichannel capability, is comparable to other methods involving machine learning, wavelets and ICA.
BibTeX:
@inproceedings{NairM2014a,
author = { Nair, A. and Marziliano, P.},
  title = { FETAL HEART RATE DETECTION USING VPW-FRI},
  booktitle = {ICASSP},
  year = {2014},
  volume = {},
  pages = {},
  doi = {}
}

biomed_

Marziliano, P., Tian, J., Wong, H-T., Baskaran, M., Aung, T. (2014), "Methods and Systems for Processing Images of the Anterior Chamber of an Eye" US Patent No.8,687,866 B2, April 1, 2014
BibTeX:
@patent{MarzilianoTWBA2014,
  author = {Marziliano, P., Tian, J., Wong, H-T., Baskaran, M., Aung, T.},
  title = {Methods and Systems for Processing Images of the Anterior Chamber of an Eye},
  company = {Nanyang Technological University, Singapore },
  year = {2014}
}

biomed_

Amin, T. B., German, J.S., Marziliano, P. (2014), "Detecting voice disguise from speech variability: Analysis of three glottal and vocal tract measures", Proceedings of Meetings on Acoustics, 20 (1), pp.1-19, 2014.
Abstract: The deliberate attempt by speakers to conceal their identity (voice disguise) presents a challenge for forensics and for automated speaker identification systems. Using a database of natural and disguised voices of three professional voice artists, we build on earlier findings (Amin et. al, 2014) by exploring how certain glottal and vocal tract measures, such as glottal timing (Open Quotient), and vowel formants are manipulated by the artists to create novel voice identities. We also investigate whether there are any features from these measures that can be useful for discriminating natural and disguised voices. As expected, variation in Open Quotient was speaker-dependent, and corresponded closely to social attributes (i.e. age) of the voice identities involved. By modelling the overall variability of the speakers in the vowel space, we propose a new method for automatically classifying natural and disguised voices. The proposed method is found to outperform several state-of-the-art methods.
BibTeX:
@article{AminGM2014,
  author = {Amin, T. B., German, J. S., Marziliano, P.},
  title = {Detecting voice disguise from speech variability: Analysis of three glottal and vocal tract measures},
  journal = {Proceedings of Meetings on Acoustics},
  year = {2014},
  volume = {20(1)},
  pages = {1--19},
  doi = {}
}

speech_

Amin, T. B., Marziliano, P., German, J.S. (2014), "Glottal and Vocal Tract characteristics of Voice Impersonators", IEEE Transactions on Multimedia, 6(3), pp.668-678, 2014.
Abstract: Voice impersonators possess a flexible voice which allows them to imitate and create different voice identities. These impersonations present a challenge for forensic analysis and speaker identification systems. To better understand the phenomena underlying successful voice impersonation, we collected a database of synchronous speech and ElectroGlottoGraphic (EGG) signals from three voice impersonators each producing nine distinct voice identities. We analysed glottal and vocal tract measures including F0, speech rate, vowel formant frequencies, and timing characteristics of the vocal folds. Our analysis confirmed that the impersonators modulated all four parameters in producing the voices, and provides a lower bound on the scale of variability that is available to impersonators. Importantly, vowel formant differences across voices were highly dependent on vowel category, showing that such effects cannot be captured by global transformations that ignore the linguistic parse. We address this issue through the development of a no-reference objective metric based on the vowel-dependent variance of the formants associated with each voice. This metric both ranks the impersonators’ natural voices highly, and correlates strongly with the results of a subjective listening test. Together, these results demonstrate the utility of voice variability data for the development of voice disguise detection and speaker identification applications.
BibTeX:
@article{AminMG2014,
  author = {Amin, T. B., Marziliano, P., German, J. S.},
  title = {Glottal and Vocal Tract characteristics of Voice Impersonators},
  journal = {IEEE Transactions on Multimedia},
  year = {2014},
  volume = {6(3)},
  pages = {668-678},
  doi = {}
}

speech_

Amin, T. B., Marziliano, P., German, J.S. (2013), "Glottal Activity Detection using Finite Rate of Innovation Methods", International Conference on Information, Communications and Signal Processing (ICICS),Tainan, Taiwan, Dec 10-13, 2013.
Abstract: A novel algorithm which accurately determines the glottal closing instants and glottal opening instants from the Differentiated Electroglottographic signals is presented. The glottal closing instants and glottal opening instant are modeled as non-bandlimited signals and methods for sampling and reconstructing signals with Finite Rate of Innovation are then used to recover the glottal closing instants and glottal opening instants. In comparison with existing methods, the proposed scheme achieves improved performance by providing 99% reliable estimates of glottal closing and opening instants respectively.
BibTeX:
@inproceedings{AminM2013,
  author = {Amin, T. B., Marziliano},
  title = {Glottal Activity Detection using Finite Rate of Innovation Methods},
  booktitle = {International Conference on Information, Communications and Signal Processing},
  year = {2013},
  volume = {},
  pages = {},
  doi = {}
}

speech_

Amin, T. B., German, J.S., Marziliano, P. (2013), " Detecting voice disguise by speech variability: Analysis of three glottal and vocal tract parameters" , 166th Meeting of the Acoustical Society of America, San Francisco, USA, Dec 2-6, 2013.
Abstract: The deliberate attempt by speakers to conceal their identity (voice disguise) presents a challenge for forensics and for automated speaker identification systems. Using a database of natural and disguised voices of three professional voice impersonators, we build on earlier findings (Amin et. al, 2012) by exploring how certain glottal and vocal tract measures, including fundamental frequency (f0), glottal timing (Open Quotient), and vowel formants, are exploited to create novel voice identities. Specifically, we explored whether the amount and type of variation exhibited by impersonators can be used to develop a metric for distinguishing natural from disguised voices. As expected, variation in f0 and Open Quotient was speaker-dependent, and corresponded closely to social attributes (i.e., gender/age) of the voice identities involved. In a novel finding, the effects of voice identity on vowel formants were highly dependent on vowel category, and could not be readily characterized as global modifications to the vowel space (Bradlow et al.,1996). We therefore developed a no-reference objective metric for voice disguise that treats formant variability on a vowel-by-vowel basis. This metric consistently assigned high rankings to natural voices (3.3/27 on average). This correlated closely with the subjective disguisedness ratings of 18 naïve listeners, even outperforming them slightly.
BibTeX:
@inproceedings{AminGM2013,
  author = {Amin, T. B., German, J. S., Marziliano, P.},
  title = {Detecting voice disguise by speech variability: Analysis of three glottal and vocal tract parameters},
  booktitle = {166th Meeting of the Acoustical Society of America},
  year = {Dec. 2013},
  volume = {},
  pages = {},
  doi = {}
}

speech_

Deslauriers-Gauthier, S., Marziliano, P. (2013), "Noisy Finite Rate of Innovation Beyond Cadzow" , International Journal on Sampling Theory in signal and Image Processing Special Issue SampTA 2011, December 2013.
Abstract: The current state-of-the-art method used when sampling noisy signals at their rate of innovation, Cadzow's iterative denoising, provides added robustness at low signal to noise ratios. We argue that Cadzow's iterative denoising is suboptimal because the finite rate of innovation sample model, specifically the Toeplitz nature of the data matrix, is not strictly adhered to. To compensate, we propose an additional step in the procedure that improves the reconstruction results. This step consist in optimizing a function that measures the fit between the finite rate of innovation model and the observed data. Using numerical simulations, we show that our new method enhances the recovery of the signals parameters and reduces the mean squared-error.
BibTeX:
@article{DeslauriersM2013c,
author = { Deslauriers-Gauthier, S. and Marziliano, P.},
  title = {Noisy Finite Rate of Innovation Beyond Cadzow},
  journal = {International Journal on Sampling Theory in signal and Image Processing Special Issue SampTA 2011},
  vol= {12}
  issue= {}
  year = {2013},
  pages = {},
  doi = {}
}

sampling_

Zhang, K., Lu, W., Marziliano, P. (2013), Automatic Knee Cartilage Segmentation from Multi-Contrast MR Images using Support Vector Machine Classification with Spatial Dependencies, Magnetic Resonance Imaging, Vol. 31, pp. 1731-1753, October 2013.
Abstract: Accurate segmentation of knee cartilage is required to obtain quantitative cartilage measurements, which is crucial for the assessment of knee pathology caused by musculoskeletal diseases or sudden injuries. This paper presents an automatic knee cartilage segmentation technique which exploits a rich set of image features from multi-contrast magnetic resonance (MR) images and the spatial dependencies between neighbouring voxels. The image features and the spatial dependencies are modelled into a support vector machine (SVM)-based association potential and a discriminative random field (DRF)-based interaction potential. Subsequently, both potentials are incorporated into an inference graphical model such that the knee cartilage segmentation is cast into an optimal labelling problem which can be efficiently solved by loopy belief propagation. The effectiveness of the proposed technique is validated on a database of multi-contrast MR images. The experimental results show that using diverse forms of image and anatomical structure information as the features are helpful in improving the segmentation, and the joint SVM-DRF model is superior to the classification models based solely on DRF or SVM in terms of accuracy when the same features are used. The developed segmentation technique achieves good performance compared with gold standard segmentations and obtained higher average DSC values than the state-of-the-art automatic cartilage segmentation studies.
BibTeX:
@article{ZhangLM2013,
  author = { Zhang, K., Lu, W., Marziliano, P.},
  title = {Automatic Knee Cartilage Segmentation from Multi-Contrast MR Images using Support Vector Machine Classification with Spatial Dependencies},
  journal = {Magnetic Resonance Imaging},
  year = {Oct. 2013},
  issue={ },
  volume = {31},
  pages = {1731-1753 },
  publisher={Elsevier},
  doi = {}
}

biomed_

Deslauriers-Gauthier, S., Marziliano, P. (2013), "Sampling signals with a finite rate of innovation on the sphere" , IEEE Transactions on Signal Processing, Vol. 61 No. 18, pp. 4552-4561, September 2013.
Abstract: The state of the art in sampling theory now contains several theorems for signals that are non-bandlimited. For signals on the sphere however, most theorems still require the assumptions of bandlimitedness. In this work we show that a particular class of non-bandlimited signals, which have a finite rate of innovation, can be exactly recovered using a finite number of samples. We consider a sampling scheme where $\NumberOfDiracs$ weighted Diracs are convolved with a kernel on the rotation group. We prove that if the sampling kernel has a bandlimit L=2K then (2K-1)(4K-1)+1 equiangular samples are sufficient for exact reconstruction. If the samples are uniformly distributed on the sphere, we argue that the signal can be accurately reconstructed using 4K^2 samples and validate our claim through numerical simulations. To further reduce the number of samples required, we design an optimal sampling kernel that achieves accurate reconstruction of the signal using only 3K samples, the number of parameters of the weighted Diracs. In addition to weighted Diracs, we show that our results can be extended to sample Diracs integrated along the azimuth. Finally, we consider kernels with antipodal symmetry which are common in applications such as diffusion magnetic resonance imaging.
BibTeX:
@article{DeslauriersM2013b,
author = { Deslauriers-Gauthier, S. and Marziliano, P.},
  title = {Sampling signals with a finite rate of innovation on
the sphere},
  journal = {IEEE Transactions on Signal Processing},
  vol= {61}
  issue= {18}
  year = {2013},
  pages = {4552-4561},
  doi = {}
}

sampling_

Deslauriers-Gauthier, S., Marziliano, P. (2013), "Sampling great circles at their rate of innovation", SPIE: Wavelets and Sparsity XV, San Diego, USA, August 26-29, 2013.
Abstract: In this work, we show that great circles, the intersection of a plane through the origin and a sphere centered at the origin, can be perfectly recovered at their rate of innovation. Specifically, we show that 4K(8K-7)+7 samples are sufficient to perfectly recover K great circles, given an appropriate sampling scheme. Moreover, we argue that the number of samples can be reduced to 2K(4K-1) while maintaining accurate results. This argument is supported by our numerical results. To improve the robustness to noise of our approach, we propose a modification that uses all the available information, instead of the critical amount. The increase in accuracy is demonstrated using numerical simulations.
BibTeX:
@inproceedings{DeslauriersM2013a,
author = { Deslauriers-Gauthier, S. and Marziliano, P.},
  title = {Sampling great circles at their rate of innovation},
  booktitle = {SPIE:Wavelets and sparsity XV},
  year = {2013},
  volume = {},
  pages = {},
  doi = {}
}

sampling_

Narayan, N. S., Marziliano, P., Hobbs, C.G.L. (2013), "Automatic Removal of Manually Induced Artefacts in Ultrasound Images of Thyroid Gland", 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Osaka, Japan, July 3-7, 2013.
Abstract: Manually induced artefacts, like caliper marks and anatomical labels, render an ultrasound image incapable of being subjected to further processes of Computer Aided Diagnosis (CAD). In this paper, we propose a technique to remove these artefacts and restore the image as accurately as possible. The technique .nds application as a pre-processing step when developing unsupervised segmentation algorithms for ultrasound images that deal with automatic estimation of the number of segments and clustering. The novelty of the algorithm lies in the image processing pipeline chosen to automatically identify the artefacts and is developed based on the histogram properties of the artefacts. The algorithm was tested for its generality by running it on a random ultrasound image downloaded from the internet and that had artefacts manually induced in it. Experimental results on a dataset of 28 ultrasound images of the thyroid gland show that the restored image is of high quality with a PSNR > 38 dB and free of any manually induced artefacts.
BibTeX:
@inproceedings{NarayanMH2013,
  author = { Narayan, N. S.,  Marziliano, P., Hobbs, C.G.L.},
  title = { Automatic Removal of Manually Induced Artefacts in Ultrasound 
Images of Thyroid Gland },
  booktitle = {EMBC},
  year = {2013},
  volume = {},
  pages = {3399--3402},
  doi = {}
}

biomed_

Nair, A., Marziliano, P., Quick, R. F., Crochiere, R. and Baechler, G. (2013), "Multichannel ECG Analysis Using VPW-FRI" , 10th International Conference on Sampling Theory and Applications (SampTA), Bremen, Germany, July, 2013.
Abstract: In this paper, we present an application of Variable Pulse Width Finite Rate of Innovation (VPW-FRI) in dealing with multichannel Electrocardiogram (ECG) data using a common annihilator. By extending the conventional FRI model to include additional parameters such as pulse width and asymmetry, VPWFRI has been able to deal with a more general class of pulses. The common annihilator, which is introduced in the annihilating filter step, shows a common support in multichannel ECG data, which provides interesting possibilities in compression. A model based de-noising method will be presented which is fast and noniterative. Also, an application to detect QRS complexes in ECG signals will be demonstrated. The results will show the robustness of the common annihilator and the QRS detection even in the presence of noise.
BibTeX:
@inproceedings{NairM2013,
  author = { Nair, A.,  Marziliano, P., Quick, R.F., Crochiere, R. and Baechler, G.},
  title = { Multichannel ECG Analysis Using VPW-FRI },
  booktitle = {SampTA},
  year = {2013},
  volume = {},
  pages = {},
  doi = {}
}

biomed_

Soe, N., Tian, J., Marziliano, P., Wong, H-T. (2013),"Two new parameters to assess anterior chamber angle for SS-OCT images", IEEE 10th International Symposium on Biomedical Imaging, pp. 1324-1327, San Francisco, USA, April 7-11, 2013.
Abstract: In this work, we show that great circles, the intersection of a plane through the origin and a sphere centered at the origin, can be perfectly recovered at their rate of innovation. Specifically, we show that 4K(8K-7)+7 samples are sufficient to perfectly recover K great circles, given an appropriate sampling scheme. Moreover, we argue that the number of samples can be reduced to 2K(4K-1) while maintaining accurate results. This argument is supported by our numerical results. To improve the robustness to noise of our approach, we propose a modification that uses all the available information, instead of the critical amount. The increase in accuracy is demonstrated using numerical simulations.
BibTeX:
@inproceedings{SoeTMW2013,
  author = {Soe, N., Tian, J., Marziliano, P., Wong, H-T. },
  title = {Two new parameters to assess anterior chamber angle for SS-OCT images },
  booktitle = {In Proc. 2013 IEEE 10th International Symposium on Biomedical Imaging (ISBI): From Nano to Macro},
  year = {2013},
  volume = {},
  pages = { 1324-1327},
  doi = { 10.1109/ISBI.2013.6556776}
}

biomed_

Zhang, K., Lu, W., Marziliano, P. (2013), "The Unified Estreme Learning Machines and Discriminative Random Fields for Automatic Knee Cartilage and Meniscus Segmentation from Multi-Contrast MR Images ", Machine Vision and Applications, Springer DOI10.1007/s00138-012-0466-9, March 2013
Abstract: Segmenting articular cartilage and meniscus from magnetic resonance (MR) images is an essential task for the assessment of knee pathology. Most of the previous classification based works for cartilage and meniscus segmentation only rely on independent labellings by a classifier, but do not consider the spatial context interaction. The labels of most image voxels are actually dependent upon their neighbours. In this study, we present an automatic knee segmentation system working on multi-contrast MR images where a novel classification model unifying an extreme learning machine (ELM)-based association potential and a discriminative random field (DRF)-based interaction potential is proposed. The DRF model introduces spatial dependencies between neighbouring voxels to the independent ELM classification. We exploit a rich set of features from multi-contrast MR images to train the proposed classification model and perform the loopy belief propagation for the inference. The proposed model is evaluated on multi-contrast MR datasets acquired from 11 subjects with results outperforming the independent classifiers in terms of segmentation accuracy of both cartilages and menisci.
BibTeX:
@article{ZhangLM2013,
  author = { Zhang, K., Lu, W., Marziliano, P.},
  title = {The Unified Estreme Learning Machines and Discriminative Random Fields for Automatic Knee Cartilage and Meniscus Segmentation from Multi-Contrast MR Images },
  journal = {Machine Vision and Applications},
  year = {2013},
  issue={ },
  volume = {},
  pages = { },
  doi = {Springer DOI10.1007/s00138-012-0466-9 }
}

biomed_

Tian, J., Marziliano, P., Baskaran, M., Aung Tun, T., Aung, T., "Automatic Segmentation of the Choroid in Enhanced Depth Imaging Optical Coherence Tomography Images" , Biomedical Optics Express, Vol. 4, No. 3, pp. 397-411, March 2013.
Abstract:
BibTeX:
@article{TianMBAA2013,
  author = { Tian, J., Marziliano, P., Baskaran, M., Aung Tun, T., Aung, T.},
  title = {Automatic Segmentation of the Choroid in Enhanced Depth Imaging Optical Coherence Tomography Images },
  journal = {Biomedical Optics Express},
  year = {2013},
  issue={ 3},
  volume = {4},
  pages = {pp. 397-411 },
  doi = {}
}

biomed_

Hayuningtyas,P. J., Marziliano, P. (2012), "Finite Rate of Innovation Method for DOA Estimation of Multiple Sinusoidal Signals With Unknown Frequency Components", , 9th European Radar Conference, Amsterdam RAI, The Netherlands, Oct. 28th – Nov. 2nd, 2012
Abstract:
BibTeX:
@inproceedings{HayuningtasM2012,
author = { Hayuningtyas,P. J., Marziliano, P.},
  title = {Finite Rate of Innovation Method for DOA Estimation of Multiple Sinusoidal Signals With Unknown Frequency Components},
  booktitle = {9th European Radar Conference},
  year = {2012},
  volume = {},
  pages = {},
  doi = {}
}

array_

Tian, J., Marziliano, P., Mani, B., Tun,T-A., Aung T. (2012), "Automatic Choroidal Thickness Measurement using Enhanced depth Imaging Optical Coherence Tomography", 34th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, San Diego, USA, Aug. 28-Sept. 1, 2012.
Abstract: Enhanced Depth Imaging (EDI) optical coherence tomography (OCT) provides high-definition cross-sectional images of the choroid in vivo, and hence is used in many clinical studies. However, measurement of choroidal thickness depends on the manual labeling, which is tedious and subjective of inter-observer differences. In this paper, we propose a fast and accurate algorithm that could measure the choroidal thickness automatically. The lower boundary of the choroid is detected by searching the biggest gradient value above the retinal pigment epithelium (RPE) and the upper boundary is formed by finding the shortest path of the graph formed by valley pixels using dynamic programming. The average of Dice’s Coefficient on 10 EDI-OCT images is 94.3%, which shows good consistency of the algorithm with the manual labeling. The processing time for each image is about 2 seconds.
BibTeX:
@inproceedings{TianMMTA2012,
  author = { Tian, J., Marziliano, P., Mani, B., Tun,T-A., Aung T.},
  title = {Automatic Choroidal Thickness Measurement using Enhanced depth Imaging Optical Coherence Tomography},
  booktitle= {EMBC},
  year = {2012},
  pages = {},
  doi = {}
}

biomed_

Deslauriers-Gauthier, S., Marziliano, P. (2012), " Spherical Finite Rate of Innovation Theory for the Recovery of Fiber Orientations" 34th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, San Diego, USA, Aug. 28-Sept. 1, 2012.
Abstract: In this paper, we investigate the reconstruction of a signal defined as the sum of K orientations from samples taken with a kernel defined on the 3D rotation group. A potential application is the recovery of fiber orientations in diffusion magnetic resonance imaging. We propose an exact reconstruction algorithm based on the finite rate of innovation theory that makes use of the spherical harmonics representation of the signal. The number of measurements needed for perfect recovery, which may be as low as 3K, depends only on the number of orientations and the bandwidth of the kernel used. Furthermore, the angular resolution of our method does not depend on the number of available measurements. We illustrate the performance of the algorithm using several simulations.
BibTeX:
@inproceedings{DeslauriersM2012,
  author = {Deslauriers-Gauthier, S., Marziliano, P.},
  title = { Spherical Finite Rate of Innovation Theory for the Recovery of Fiber Orientations},
  booktitle = {EMBC},
  year = {2012},
  pages = {},
  doi = {}
}

biomed_

Amin, T. B., Marziliano, P., German, J.S. (2012), "Nine voices, one artist: Linguistic and Acoustic Analysis", IEEE International Conference on Multimedia & Expo, pp. 450-454, Melbourne, Australia, July 9-13, 2012.  (Top 11%, 30% acceptance rate).
Abstract: Voice impersonators possess a flexible voice and thus can change their voice identity.They are able to imitate various people and characters which differ in age, gender, accent and voice quality. State of the art electronic voice conversion systems are not able to successfully mimic their human counterparts as they lack naturalness. To understand why human impersonators are successful and what parameters they rely on to change their voice, we analyze nine voices produced by a professional voice impersonator. We compute different acoustical measures and discuss their linguistic implications. The acoustical measures include pitch, speech rate and formant frequencies. Our results show that differences in the voice identity features such as age and gender are reflected in the acoustic parameters of the impersonations. The analysis is distinguished from previous studies on impersonators in giving full consideration to voice identity features.
BibTeX:
@inproceedings{AminMG2012,
  author = {Amin, T. B., Marziliano, P., German, J. S.},
  title = {Nine voices, one artist: Linguistic and Acoustic Analysis},
  booktitle = {In Proc. IEEE International Conference on Multimedia & Expo},
  year = {2012},
  volume = {},
  pages = {450-454},
  doi = { 10.1109/ICME.2012.142}
}

speech_

Chen C., Marziliano, P., Kot, A. C. (2012), "2D Finite Rate of Innovation Reconstruction Method for Step Edge and Polygon Signals in the Presence of Noise ", IEEE Transactions on Signal Processing, Vol. 60, pp. 2851-2859, June, 2012.
Abstract: Finite Rate of Innovation (FRI) principle is developed for sampling a class of non-bandlimited signals that have a finite number of degrees of freedom per unit of time, i.e., signals with FRI. This sampling scheme is later extended to three classes of sampling kernels with compact support and applied to the step edge reconstruction problem by treating the image row by row. In this paper, we regard step edges as 2D FRI signals and reconstruct them block by block. The step edge parameters are obtained from the 2D moments of a given image block. Experimentally, our technique can reconstruct the edge more precisely and track the Cramer-Rao Bounds (CRB) closely with Signal-to-Noise (SNR) larger than 4 dB on synthetic step edge images. Experiments on real images show that our proposed method can reconstruct the step edges under practical conditions, i.e., in the presence of various types of noise and using a real sampling kernel. The results on locating the corners of data matrix barcodes using our method also outperform some state-of- the-art barcode decoders.
BibTeX:
@article{ChenMK2012b,
  author = {Chen C., Marziliano, P., Kot, A. C.  },
  title = {2D Finite Rate of Innovation Reconstruction Method for Step Edge and Polygon Signals in the Presence of Noise},
  journal = {IEEE Transactions on Signal Processing},
  year = {2012},
  issue={6}
  volume = {60},
  pages = {2851 - 2859 },
  doi = {10.1109/TSP.2012.2189391 }
}

samplingtheory_

Chen C., Marziliano, P., Kot, A. C. (2012), "Step-edge Reconstruction Using 2D Finite Rate of Innovation Principle", In Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, pp.3833-3836, March 25-30, 2012.
Abstract: Parametric signals that have a finite number of degrees of freedom per unit of time are defined as signals with Finite Rate of Innovation (FRI) . Sampling and reconstruction schemes have been developed based on the 1D FRI principle and applied to reconstructing step edge images on a row by row basis. In this paper, we derive the 2D FRI principle by exploiting the separability of the B-spline sampling kernel. The proposed 2D FRI principle regards the sampling and reconstruction as block by block operations. The step-edge parameters can be retrieved in high accuracy with no post-processing. The performance on synthetic images shows that our proposed technique is more precise than the row by row approaches on Signal-to-Noise Ratio (SNR) levels larger than 4 dB. Experimental results on real images demonstrate that the proposed method can reconstruct the step-edge precisely under noisy and practical sampling conditions.
BibTeX:
@inproceedings{ChenMK2012a,
  author = {Chen C., Marziliano, P., Kot, A. C.  },
  title = {Step-edge Reconstruction Using 2D Finite Rate of Innovation Principle},
  booktitle = {Proc. IEEE International Conference on Acoustics, Speech and Signal Processing},
  year = {2012},
  volume = {3},
  pages = {3833-3836},
  doi = { 10.1109/ICASSP.2012.6288753 }
}

samplingtheory_

Tian, J., Marziliano, P., Mani, B., Wong, H-T., Aung T. (2011), "Automatic Anterior Chamber Angle Assessment in HD-OCT images", IEEE Transactions on Biomedical Engineering, 58 (11) pp. 3042-3049, Nov. 2011.
Abstract: Angle closure glaucoma is a major blinding eye disease and could be detected by measuring the anterior chamber angle in the human eyes. High-definition OCT (CirrusTM HD-OCT) is an emerging non-invasive, high-speed, and highresolution imaging modality for the anterior segment of the eye. Here we propose a novel algorithm which automatically detects a new landmark, Schwalbe’s line, and measures the anterior chamber angle in the HD-OCT images. The distortion caused by refraction is corrected by dewarping the HD-OCT images and three biometric measurements are defined to quantitatively assess the anterior Chamber angle. The proposed algorithm was tested on 40 HD-OCT images of the eye and provided accurate measurements in about 1 second.
BibTeX:
@article{TianMMWA2011,
  author = { Tian, J., Marziliano, P., Mani, B., Wong, H-T., Aung T.},
  title = {Automatic Anterior Chamber Angle Assessment in HD-OCT images},
  journal = {IEEE Transactions on Biomedical Engineering},
  year = {2011},
  pages = {3042--3049},
  doi = {}
}

biomed_

Deslauriers-Gauthier, S., Marziliano, P., Tan, C. H.(2011), "Application of Finite Rate of Innovation Methods to the Reconstruction of Magnetic Resonance Image of the Liver ;  9th International Conference on Sampling Theory and Applications, Singapore, May 2-6, 2011.
Abstract: We present a new magnetic resonance image reconstruction technique based on methods for sampling and reconstruction of signals with a finite rate of innovation. The main advantages of the proposed reconstruction technique are its computational efficiency and the use of a conventional sampling scheme. In this work, we highlight the main ideas behind the approach and show the results obtained on the Shepp-Logan phantom. Preliminary results obtained on two clinical images of the liver are also presented.
BibTeX:
@inproceedings{DeslauriersMT2011,
  author = {Samuel Deslauriers-Gauthier, Pina Marziliano, Cher Heng Tan},
  title = {Application of Finite Rate of Innovation Methods to the Reconstruction of Magnetic Resonance Image of the Liver},
  booktitle = {9th International Conference on Sampling Theory and Applications},
  month= {May}
  year = {2011},
  pages = {},
  doi = {}
}

biomed_

Deslauriers-Gauthier, S., Marziliano, P., (2011), "Magnetic resonance image reconstruction using the annihilating filter method",  2011 IEEE International Symposium on Biomedical Imaging, Chicago, USA, March 30-April, 2011.
Abstract: Compressed sensing reconstruction algorithms exploit the sparsity of MRI images to significantly undersample the k-space. However, these algorithms are computationally expensive, may be slow to converge, and perform best when the samples are randomly selected. We propose a new sparse reconstruction algorithm based on the annihilating filter method to palliate these issues. This new method is non iterative and does not require random sampling. We demonstrate that our technique outperforms the basis pursuit theoretical limit for very sparse signals. As an application, we show clinical MRI images reconstructed using our method..
BibTeX:
@inproceedings{DeslauriersM2011,
  author = {Samuel Deslauriers-Gauthier, Pina Marziliano},
  title = {Magnetic resonance image reconstruction using the annihilating filter method},
  booktitle = {IEEE International Symposium on Biomedical Imaging},
  month= {March}
  year = {2011},
  pages = {},
  doi = {}
}

biomed_

P. J. Hayuningtyas, S. K. Kulkarni, P. Marziliano, P. Droge (2011), Fast and Efficient Image Processing Methods for Quantification of DNA Damage in Human Embryonic Stem Cells, Personalized Cancer Medicine Conference, Singapore, February 21-23, 2011.
Abstract:
BibTeX:
@inproceedings{HayuningtyasKMD2011,
  author = {P. J. Hayuningtyas, S. K. Kulkarni, P. Marziliano, P. Droge },
  title = {Fast and Efficient Image Processing Methods for Quantification of DNA Damage in Human Embryonic Stem Cells},
  booktitle = {Personalized Cancer Medicine Conference},
  year = {2011},
  pages = {},
  doi = {}
}

biomed_

Tian, J., Marziliano, P., & Wong, H-T. (2010), "Automatic detection of Schwalbe's line in the anterior chamber angle of the eye using HD-OCT images", In Proc. 32nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.3013-3016, Buenos Aires, Argentina, Aug.30-Sept.4 2010.
Abstract: Angle-closure glaucoma is a major cause of blindness in Asia and could be detected by measuring the anterior chamber angle (ACA) using gonioscopy, ultrasound biomicroscopy or anterior segment (AS) optical coherence tomography (OCT). The current software in the VisanteTM OCT system by Zeiss is based on manual labeling of the scleral spur, cornea and iris and is a tedious process for ophthalmologists. Furthermore, the scleral spur can not be identified in about 20% to 30% of OCT images and thus measurements of the ACA are not reliable. However, high definition (HD) OCT has identified a more consistent landmark: Schwalbe's line. This paper presents a novel algorithm which automatically detects Schwalbe's line in HD-OCT scans. The average deviation between the values detected using our algorithm and those labeled by the ophthalmologist is less than 0.5% and 0.35% in the horizontal and vertical image dimension, respectively. Furthermore, we propose a new measurement to quantify ACA which is defined as Schwalbe's line bounded area (SLBA).
BibTeX:
@inproceedings{TianMW2010,
  author = {Tian, J., Marziliano,P.,& Wong, H-T },
  title = {Automatic detection of Schwalbe's line in the anterior chamber angle of the eye using HD-OCT images},
  booktitle = {Proc. 32nd Annual International Conference of the Engineering in Medicine and Biology Society },
  year = {2010},
  pages = {3013 - 3016},
  doi = {http://dx.doi.org/10.1109/IEMBS.2010.5626167}
}

biomed_

Bhandari, A. & Marziliano, P. (2010), "Sampling and Reconstruction of Sparse Signals in Fractional Fourier Domain", IEEE Signal Processing Letters, Vol. 17, pp. 221-224, March 2010.
Abstract: Sampling theory for continuous time signals which have a bandlimited representation in fractional Fourier transform (FrFT) domain—a transformation which generalizes the conventional Fourier transform—has blossomed in the recent past. The mechanistic principles behind Shannon’s sampling theorem for fractional bandlimited (or fractional Fourier bandlimited) signals are the same as for the Fourier domain case i.e. sampling (and reconstruction) in FrFT domain can be seen as an orthogonal projection of a signal onto a subspace of fractional bandlimited signals. As neat as this extension of Shannon’s framework is, it inherits the same fundamental limitation that is prevalent in Fourier regime—what happens if the signals have singularities in the time domain (or the signal has a nonbandlimited spectrum)?
In this paper, we propose a uniform sampling and reconstruction scheme for a class of signals which are nonbandlimited in FrFT sense. Specifically, we assume that samples of a smoothed version of a periodic stream of Diracs are accessible (which is sparse in time-domain). In its parametric form, this signal has a finite number of degrees of freedom per unit time. Based on the representation of this signal in FrFT domain, we derive conditions under which exact recovery of parameters of the signal is possible. Knowledge of these parameters leads to exact reconstruction of original signal.
BibTeX:
@article{Bhan2010b,
  author = {Bhandari, A. & Marziliano, P.},
  title = {Sampling and Reconstruction of Sparse Signals in Fractional Fourier Domain},
  journal = {IEEE Signal Processing Letters},
  year = {2010}
}

samplingtheory_

Bhandari, A. & Marziliano, P. (2010), "Fractional Delay Filters Based on Generalized Cardinal Exponential Splines", IEEE Signal Processing Letters, Vol. 17, pp. 225-228, March 2010.
Abstract: Fractional delay filters (FDFs) play an important role in certain areas of digital signal processing and communication engineering, where it is desirable to generate delays that are of the order of a fraction of the sampling period. In this paper, we advocate the use of generalized cardinal exponential splines—a class of compactly supported functions that is much richer than the existing B-spline family—for designing precision FDFs. One advantage of using generalized cardinal exponential splines is that it provides ready access to several spline families and other kernels which could be used for FDF design. The B-spline and Lagrange interpolator based FDFs are a special case of our proposition. We also discuss a design example and show that it is possible to design filters that have lower interpolation errors as compared to its B-spline counterparts.
BibTeX:
@article{Bhan2010a,
  author = {Bhandari, A. & Marziliano, P.},
  title = {Fractional Delay Filters Based on Generalized Cardinal Exponential Splines},
  journal = {IEEE Signal Processing Letters},
  year = {2010}
}

misce_

Poh, K.-K. & Marziliano, P. (2010), "Compressive sampling of EEG signals with finite rate of innovation", EURASIP Journal on Advances in Signal Processing, vol. 2010, Article ID 183105, February 2010. doi:10.1155/2010/183105 .
Abstract: Analyses of electroencephalographic signals and subsequent diagnoses can only be done effectively on long term recordings that preserve the signals' morphologies. Currently, electroencephalographic signals are obtained at Nyquist rate or higher, thus introducing redundancies. Existing compression methods remove these redundancies, thereby achieving compression. We propose an alternative compression scheme based on a sampling theory developed for signals with a finite rate of innovation (FRI) which compresses electroencephalographic signals during acquisition. We model the signals as FRI signals and then sample them at their rate of innovation. The signals are thus effectively represented by a small set of Fourier coefficients corresponding to the signals' rate of innovation. Using the FRI theory, original signals can be reconstructed using this set of coefficients. Seventy-two hours of electroencephalographic recording are tested and results based on metrices used in compression literature and morphological similarities of electroencephalographic signals are presented. The proposed method achieves results comparable to that of wavelet compression methods, achieving low reconstruction errors while preserving the morphologiies of the signals. More importantly, it introduces a new framework to acquire electroencephalographic signals at their rate of innovation, thus entailing a less costly low-rate sampling device that does not waste precious computational resources.
BibTeX:
@article{Poh2010a,
  author = {Poh, K.-K. & Marziliano, P.},
  title = {Compressive sampling of EEG signals with finite rate of innovation},
  journal = {EURASIP Journal on Advances in  Signal Processing},
  year = {2010}
  
}

biomed_

Bhandari, A., Marziliano, P. & Munoz Barrutia, A. (2009), "Need for Speed: Fast Stockwell Transform (FST) with O(N) Complexity", IEEE International Conference on Information, Communications and Signal Processing, Macau, December 2009
Abstract: In this paper, we propose two fast, spline based, algorithms for computing the Stockwell Transform or the Stransform. It is a redundant, time-frequency representation that has certain desirable features which make it an attractive choice for signal analysis in different areas and motivated by its diverse applications, we seek to reduce its computational complexity. The S-transform bears an acute resemblance with the Gabor transform and can also be associated to the Continuous Wavelet Transform (CWT). Our formulation is based on the above mentioned connectivity with the two classical time-frequency tools. What singles out our approach is that it is recursive in nature and leads to a complexity of O(N)–for arbitrary scales, independent of scale of window.
BibTeX:
@inproceedings{Bhan2009a,
  author = {Bhandari, A., Marziliano, P., Munoz Barrutia, A.},
  title = {Need for Speed: Fast Stockwell Transform (FST) with O(N) Complexity},
  year = {2009}
}

misce_

Bhandari, A. & Marziliano, P. (2009), "Sampling Sparse Signals in Fractional Fourier Domain", Sampling Theory and Applications (SampTA) Conference, Marseille, France, May 2009
Abstract: In this paper, we formulate the problem of sampling sparse signals in fractional Fourier domain. The fractional Fourier transform (FrFT) can be seen as a generalization of the classical Fourier transform. Extension of Shannon’s sampling theorem to the class of signals which are fractional bandlimited shows its association to a Nyquist-like bound. Thus proving that signals that have a non-bandlimited representation in FrFT domain cannot be sampled. We prove that under suitable conditions, it is possible to sample sparse (in time) signals by using the Finite Rate of Innovation (FRI) signal model. In particular, we propose a uniform sampling and reconstruction procedure for a periodic stream of Diracs, which have a nonbandlimited representation in FrFT domain. This generalizes the FRI sampling and reconstruction scheme in the Fourier domain to the FrFT domain.
BibTeX:
@inproceedings{Bhan2009b,
  author = {Bhandari, A. and Marziliano, P.},
  title = {Sampling Sparse Signals in Fractional Fourier Domain},
  booktitle = {Proc. 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society EMBS 2007},
  year = {2009},
  pages = {594--597},
  doi = {}
}

samplingtheory_

Blu, T., Dragotti, P.L., Vetterli, M., Marziliano, P. & Coulot, L. (2008), "Sparse Sampling of Signal Innovations", IEEE Signal Processing Magazine, Vol. 25(2), pp. 31-40, March 2008.
Abstract: Sparse sampling of continuous-time sparse signals is addressed. In particular, it is shown that sampling at the rate of innovation is possible, in some sense applying Occam's razor to the sampling of sparse signals. The noisy case is analyzed and solved, proposing methods reaching the optimal performance given by the Cramer-Rao bounds. Finally, a number of applications have been discussed where sparsity can be taken advantage of. The comprehensive coverage given in this article should lead to further research in sparse sampling, as well as new applications. One main application to use the theory presented in this article is ultra-wide band (UWB) communications.
BibTeX:
@article{Blu2008a,
  author = {Blu, T. and Dragotti, P. -L. and Vetterli, M. and Marziliano, P. and Coulot, L.},
  title = {Sparse Sampling of Signal Innovations},
  journal = {IEEE Signal Processing Magazine},
  year = {2008},
  volume = {25},
  number = {2},
  pages = {31--40},
  doi = {http://dx.doi.org/10.1109/MSP.2007.914998}
}

samplingtheory_

Ho, A.T.S., Zhu, X., Shen, J. & Marziliano, P. (2008), "Fragile Watermarking Based on Encoding of the Zeroes of the z-Transform", IEEE Transactions on Information Forensics and Security,  Vol. 3, no.3, pp. 567-569, 2008.
Abstract: In this paper, a new fragile watermarking method for digital image authentication is proposed based on the zero locations of the $z$-transform. The $z$ -transform domain is a new transform space for fragile watermark embedding. Our watermarking method is designed by exploiting the sensitivity of the positions of the zeroes of the $z$ -transform around the unit circle to any change made on the host image. The watermarking system can localize the portions of a watermarked image that have been tampered with with high accuracy. In addition, the newly proposed scheme is more secure than normal least-significant bits-based fragile watermarking techniques. Experimental results as well as the theoretical analysis demonstrated the fragility and accuracy of the new method.
BibTeX:
@article{Ho2008a,
  author = {Ho, A. T. S. and Zhu, Xunzhan and Shen, Jun and Marziliano, P.},
  title = {Fragile Watermarking Based on Encoding of the Zeroes of the z-Transform},
  journal = {IEEE Transactions on Information Forensics and Security},
  year = {2008},
  volume = {3},
  number = {3},
  pages = {567--569},
  doi = {http://dx.doi.org/10.1109/TIFS.2008.926994}
}

watermarking_

Poh, K.-K. & Marziliano, P. (2008), "Compression of neonatal EEG seizure signals with finite rate of innovation", In Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 433-436, 2008.
Abstract: Analyses of neonatal EEG seizures and subsequent diagnoses can only be done effectively on long-term recordings on the condition that the morphology of the EEG signals are retained. Therefore, a reliable, accurate and efficient compression and reconstruction technique is necessary to store and retrieve the data. In this paper, we propose a new compression technique for neonatal EEG seizure signals via sampling theory developed for signals with a finite rate of innovation. Firstly, the EEG seizure signals are modeled as periodic nonuniform linear splines. Next, through the sampling and reconstruction scheme developed for signals with finite rate of innovation, we show that neonatal EEG seizure signals can be highly compressed while preserving their morphologies.
BibTeX:
@inproceedings{Poh2008a,
  author = {Poh, Kok-Kiong and Marziliano, P. },
  title = {Compression of neonatal EEG seizure signals with finite rate of innovation},
  booktitle = {Proc. IEEE International Conference on Acoustics, Speech and Signal Processing},
  year = {2008},
  pages = {433--436},
  doi = {http://dx.doi.org/10.1109/ICASSP.2008.4517639}
}

biomed_

Zhu, H., Ho, A.T.S., Marziliano, P. (2007) , " A new semi-fragile image watermarking with robust tampering restoration using irregular sampling", Elsevier Signal Processing: Image Communication,vol. 22, no.6, pp. 515-528, June 2007.
Abstract: This paper presents a semi-fragile watermarking method for the automatic authen­tication and restoration of the content of digital images. The restoration is based on the theory of irregular sampling. Contrast to previous methods, the restoration process is robust to common image processing operations such as lossy transcoding and image .ltering. Semi-fragile Watermarks are embedded into the original image, which re.ect local malicious tampering on the image. When tampered blocks are detected, the restoration problem is formulated as an irregular sampling problem in approximation subspaces. These blocks are then reconstructed, making use of the information embedded in the same watermarked image, through iterative projec­tions onto convex sets in approximation subspaces. Simulation results showed that the scheme keeps the probability of false alarm to a minimum while maintaining the data integrity of the restored image.
BibTeX:
@article{ZhuHM2007,
  author = {Zhu, H., Ho, A.T.S., Marziliano, P.},
  title = {A new semi-fragile image watermarking with robust tampering restoration using irregular sampling},
  journal = {Elsevier Signal Processing: Image Communication},
  year = {2007},
  volume = {22},
  number = {6},
  pages = {515--528},
  doi = {}
}

watermarking_

Marziliano, P. (2007), "Reproducible Research: A Case Study of Sampling Signals with Finite Rate of Innovation", In Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, Vol. 4, pp. 1265-1268, 2007.
Abstract: A case study on reproducible research in sampling theory of signals containing a finite rate of innovation is the topic of this paper. By building a solid research which is furthermore reproducible enables the researcher to build intuition in a research area and to progress at a much faster pace. Here, we show that the founding problem of sampling and exact reconstruction of periodic streams of Dirac pulse will be the basis of the sampling theory for signals with finite rate of innovation. The sampling theory can be extended to other signals such as piecewise polynomials, bandlimited signals with additive shot noise and the sum of bandlimited signals with piecewise polynomial signals. It is shown that the implementation is based on the one for streams of Dirac pulses, thus making the new research reproducible as well
BibTeX:
@inproceedings{Marziliano2007a,
  author = {Marziliano, P. },
  title = {Reproducible Research: A Case Study of Sampling Signals with Finite Rate of Innovation},
  booktitle = {Proc. IEEE International Conference on Acoustics, Speech and Signal Processing},
  year = {2007},
  volume = {4},
  pages = {1265--1268},
  doi = {http://dx.doi.org/10.1109/ICASSP.2007.367307}
}

samplingtheory_

Poh, K.-K. & Marziliano, P. (2007), "Analysis of Neonatal EEG Signals using Stockwell Transform", In Proc. 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 594-597, 2007.
Abstract: In this paper, we investigate the Stockwell transform, a linear time-frequency spectral localisation technique, on non-stationary, multicomponent neonatal seizure EEG signals. The seizure signals of interest are namely slow wave and sharp spike seizures. The performance of Stockwell transform is compared to that of existing quadratic time-frequency representation, namely the Choi-Williams Distribution and the B Distribution, on both simulated and real EEG seizure signals. The results show that the Stockwell Transform yields distinctive, interference free time-frequency patterns corresponding to the neonatal EEG seizure signals. By capturing both high- frequency spike components and predominantly low frequency components of neonatal seizures concurrently and accurately, the Stockwell Transform is able to distinguish these two types of neonatal seizure signals with unique signatures. These signatures can then be effectively used for seizure modelling, detection and prediction.
BibTeX:
@inproceedings{Poh2007a,
  author = {Poh, Kok-Kiong and Marziliano, P. },
  title = {Analysis of Neonatal EEG Signals using Stockwell Transform},
  booktitle = {Proc. 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society},
  year = {2007},
  pages = {594--597},
  doi = {http://dx.doi.org/10.1109/IEMBS.2007.4352360}
}

biomed_

Zhang, J., Ho, A.T.S., Qiu, G. & Marziliano, P. (2007), "Robust Video Watermarking of H.264/AVC", IEEE Transactions on Circuits and Systems II: Express Briefs. Vol. 54, no.2, pp. 205-209, 2007.
Abstract: A robust video watermarking scheme of the state-of-the-art video coding standard H.264/AVC is proposed in this brief. 2-D 8-bit watermarks such as detailed company trademarks or logos can be used as inconvertible watermark for copyright protection. A grayscale watermark pattern is first modified to accommodate the H.264/AVC computational constraints, and then embedded into video data in the compressed domain. With the proposed method, the video watermarking scheme can achieve high robustness and good visual quality without increasing the overall bit-rate. Experimental results show that our algorithm can robustly survive transcoding process and strong common signal processing attacks, such as bit-rate reduction, Gaussian filtering and contrast enhancement
BibTeX:
@article{Zhang2007a,
  author = {Zhang, Jing and Ho, Anthony T. S. and Qiu, Gang and Marziliano, Pina},
  title = {Robust Video Watermarking of H.264/AVC},
  journal = {IEEE Transactions on Circuits and Systems II: Express Briefs},
  year = {2007},
  volume = {54},
  number = {2},
  pages = {205--209},
  doi = {http://dx.doi.org/10.1109/TCSII.2006.886247}
}

watermarking_

Vetterli, M., Marziliano, P. & Blu, T. (2007), "Sampling Method, Reconstruction Method, and Device for Sampling and/or Reconstructing Signals", US Patent No. 2007/0143078
BibTeX:
@patent{VetterliMB2007,
  author = {Vetterli, M., Marziliano, P. & Blu, T.},
  title = {Sampling Method, Reconstruction Method, and Device for Sampling and/or Reconstructing Signals},
  company = {Qualcomm Inc.},
  year = {2007},
  links = http://www.prnewswire.co.uk/cgi/news/release?id=215181
http://lcav.epfl.ch/news/docs/6302271.pdf
http://lcav.epfl.ch/news/docs/6175446.pdf }

samplingtheory_

Marziliano, P., Vetterli, M. & Blu, T. (2006), "Sampling and exact reconstruction of bandlimited signals with additive shot noise", IEEE Transactions on Information Theory,  Vol. 52(5), pp. 2230-2233, 2006.
Abstract: In this correspondence, we consider sampling continuous-time periodic bandlimited signals which contain additive shot noise. The classical sampling scheme does not perfectly recover these particular nonbandlimited signals but only reconstructs a lowpass filtered approximation. By modeling the shot noise as a stream of Dirac pulses, we first show that the sum of a bandlimited signal with a stream of Dirac pulses falls into the class of signals that contain a finite rate of innovation, that is, a finite number of degrees of freedom. Second, by taking into account the degrees of freedom of the bandlimited signal in the sampling and reconstruction scheme developed previously for streams of Dirac pulses, we derive a sampling and perfect reconstruction scheme for the bandlimited signal with additive shot noise.
BibTeX:
@article{Marziliano2006a,
  author = {Marziliano, P. and Vetterli, M. and Blu, T. },
  title = {Sampling and exact reconstruction of bandlimited signals with additive shot noise},
  journal = {IEEE Transactions on Information Theory},
  year = {2006},
  volume = {52},
  number = {5},
  pages = {2230--2233},
  doi = {http://dx.doi.org/10.1109/TIT.2006.872844}
}

samplingtheory_

Zhu, X., Ho, A.T.S. & Marziliano, P. (2006), "Image Authentication and Restoration Using Irregular Sampling for Traffic Enforcement Applications", In Proc. First International Conference on Innovative Computing, Information and Control, Vol. 3, pp. 62-65, 2006.
Abstract: Traffic image sequences are important information for the purpose of traffic system control and traffic accidents surveillance, for example, the determination of offending vehicles. A semi-fragile watermarking method for the automatic authentication and restoration of traffic images using irregular sampling is described. Watermarks are embedded into the pinned field of the pinned sine transform (PST) of the original image, which reflects local malicious tampering on the texture of the image. When tampered blocks are detected, the restoration problem is formulated as an irregular sampling problem in approximation subspaces. These blocks are then reconstructed, making use of the information embedded in the same watermarked image, through iterative projections onto convex sets in approximation subspaces. The restoration process is a variant of the Papoulis- Gerchberg algorithm, and is robust to common image processing operations such as lossy transcoding and image filtering.
BibTeX:
@inproceedings{Zhu2006a,
  author = {Zhu, Xunzhan and Ho, A. T. S. and Marziliano, P. },
  title = {Image Authentication and Restoration Using Irregular Sampling for Traffic Enforcement Applications},
  booktitle = {Proc. First International Conference on Innovative Computing, Information and Control ICICIC '06},
  year = {2006},
  volume = {3},
  pages = {62--65},
  doi = {http://dx.doi.org/10.1109/ICICIC.2006.460}
}

watermarking_

Hao, Y., Marziliano, P., Vetterli, M. & Blu, T. (2005), "Compression of ECG as a Signal with Finite Rate of Innovation", In Proc. 27th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 7564-7567, 2005.
Abstract: Compression of ECG (electrocardiogram) as a signal with finite rate of innovation (FRI) is proposed in this paper. By modelling the ECG signal as the sum of bandlimited and nonuniform linear spline which contains finite rate of innovation (FRI), sampling theory is applied to achieve effective compression and reconstruction of ECG signal. The simulation results show that the performance of the algorithm is quite satisfactory in preserving the diagnostic information as compared to the classical sampling scheme which uses the sinc interpolation
BibTeX:
@inproceedings{Hao2005a,
  author = {Hao, Yanyan and Marziliano, P. and Vetterli, M. and Blu, T. },
  title = {Compression of ECG as a Signal with Finite Rate of Innovation},
  booktitle = {Proc. 27th Annual International Conference of the Engineering in Medicine and Biology Society },
  year = {2005},
  pages = {7564--7567},
  doi = {http://dx.doi.org/10.1109/IEMBS.2005.1616262}
}

biomed_

Lu, R., Marziliano, P. & Thng, C.H. (2005), "Liver Tumor Volume Estimation By Semi-Automatic Segmentation Method", In Proc. 27th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 3296-3299, 2005.
Abstract: Liver cancer is one of the most popular cancer diseases and causes a large amount of death every year. In order to make decisions such as liver resections, doctors will need to know the tumor volume, and further, the functional liver volume. Thus, an important task in radiology is the determination of tumor volume. Accurate segmentation of liver tumor from an abdominal image is one of the most important steps in 3D representation for liver volume measurement, liver transplant, and treatment planning. Since manual segmentation is inconvenient, time consuming and depends on the individual operator to a large extent, automatic segmentation is much more preferred. In this paper, an active contour model is used to segment tumors from CT abdominal images. Initial boundary is manually placed by operators outside the tumor region. The snake deforms to the tumor boundary with the minimization of energy function. We then calculate the tumor volume using the series of segmented tumor slices. Results show that this method is quite efficient in tumor volume estimation compared with the WHO criteria, which measures the tumor by multiplying the longest perpendicular diameters
BibTeX:
@inproceedings{Lu2005a,
  author = {Lu, Rui and Marziliano, P. and Thng, Choon Hua},
  title = {Liver Tumor Volume Estimation By Semi-Automatic Segmentation Method},
  booktitle = {Proc. 27th Annual International Conference of the Engineering in Medicine and Biology Society},
  year = {2005},
  pages = {3296--3299},
  doi = {http://dx.doi.org/10.1109/IEMBS.2005.1617181}
}

biomed_

Hao, Y. & Marziliano, P. (2004), "An efficient wavelet-based pattern matching scheme for ECG data compression", In Proc. IEEE International Workshop on Biomedical Circuits and Systems, pp. S2/4-S5-8, 2004.
Abstract: A novel coding scheme for ECG data compression is proposed in this paper. Following beat delineation, the periods of the beats are normalized by multi-rate processing. Amplitude normalization is performed afterwards, and discrete wavelet transform is applied to each normalized beat. Due to the period and amplitude normalization, the wavelet transform coefficients bear a high correlation across beats. To increase the compression ratio, a pattern matching unit is utilized. The difference between the actual period and the standard period, and amplitude scale factor are also retained for each beat. At the decoder, the inverse wavelet transform is computed from the reconstructed wavelet transform coefficients. The original amplitude and period of each beat are then recovered. The simulation results show that the performance of the proposed compression algorithm is quite satisfactory and achieves significant improvement in comparison with some recent techniques.
BibTeX:
@inproceedings{Hao2004a,
  author = {Hao, Yanyan and Marziliano, P. },
  title = {An efficient wavelet-based pattern matching scheme for ECG data compression},
  booktitle = {Proc. IEEE International Workshop on Biomedical Circuits and Systems},
  year = {2004},
  pages = {S2/4--S5-8},
  doi = {http://dx.doi.org/10.1109/BIOCAS.2004.1454133}
}

biomed_

Ho, A. T. S., Puhan, N. B., Makur, A., Marziliano, P. & Guan, Y. L. (2004), "Imperceptible data embedding in sharply-contrasted binary images", In Proc. ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, Vol. 2, pp. 958-963, 2004.
Abstract: Data embedding in sharply-contrasted binary images like text, drawing, signature and cartoon is a challenging issue due to simple pixel statistics in such images. Arbitrary modification to the pixels can be visually perceptible in the process of data embedding. The use of a valid perceptual model is important to minimize the effect of such visual distortion in binary images. In this paper, a novel perceptual model is used to embed significant amount of information such that the original and the marked images before and after data embedding process are perceptually similar. In our model, the distortion that occurs after flipping a pixel is estimated on the curvature-weighted distance difference (CWDD) measure between two contour segments.
BibTeX:
@inproceedings{Ho2004c,
  author = {Ho, A. T. S. and Puhan, N. B. and Makur, A. and Marziliano, P. and Guan, Y. L. },
  title = {Imperceptible data embedding in sharply-contrasted binary images},
  booktitle = {Proc. ICARCV 2004 8th Control, Automation, Robotics and Vision Conference},
  year = {2004},
  volume = {2},
  pages = {958--963},
  doi = {http://dx.doi.org/10.1109/ICARCV.2004.1468970}
}

watermarking_

Ho, A.T.S., Puhan, N.B., Marziliano, P., Makur, A. & Guan, Y.L. (2004), "Perception based binary image watermarking", In Proc. International Symposium on Circuits and Systems, Vol. 2, pp.37-40, 2004.
Abstract: The use of a suitable perceptual model is necessary to minimize visual distortion in marked images, because minor modifications to the pixels can be perceptible since the pixels are either black or white. In this paper, a new perceptual model is proposed for binary images that is useful for data hiding applications. In our model, the distortion that occurs after flipping a pixel is estimated on the novel curvature-weighted distance difference (CWDD) measure between two contour segments. Through subjective tests the perceptual measure is validated and highly correlated with human perception.
BibTeX:
@inproceedings{Ho2004e,
  author = {Ho, A. T. S. and Puhan, N. B. and Marziliano, P. and Makur, A. and Guan, Y. L. },
  title = {Perception based binary image watermarking},
  booktitle = {Proc. International Symposium on Circuits and Systems ISCAS '04},
  year = {2004},
  volume = {2},
  pages = {37--40}
}

watermarking_

Ho, A. T. S., Zhu, X., Guan, Y. L. & Marziliano, P. (2004), "Slant transform watermarking for textured images", In Proc. International Symposium on Circuits and Systems, Vol. 5, pp. 700-703, 2004.
Abstract: We propose a digital watermarking algorithm based on the Slant transform for the copyright protection of complex textured images. A lot of images in practical applications, such as remote sensing and medical archiving, contain complex textures. With more AC energies concentrating in the high frequency components, images with complex textures usually suffer more from common image processing operations than smooth images do. Therefore, watermarking robustness is more an issue for textured images though it is commonly recognized that highly textured images provide more capacity for data hiding without introducing too much degradation to the visual quality of original images. Experimental results showed that our Slant transform watermarking provides significant advantage for watermarking insertion and retrieval for images with complex textures such as satellite images. An analytical comparative study on the performance of the Slant transform adapting our earlier watermarking schemes for fast Hadamard transform will be performed based on its robustness against various Stirmark and Checkmark attacks.
BibTeX:
@inproceedings{Ho2004d,
  author = {Ho, A. T. S. and Zhu, X. and Guan, Y. L. and Marziliano, P. },
  title = {Slant transform watermarking for textured images},
  booktitle = {Proc. International Symposium on Circuits and Systems},
  year = {2004},
  volume = {5},
  pages = {700--703}
}

watermarking_

Lu, R., Marziliano, P. & Thng, C.H. (2004), "Comparison of scene-based interpolation methods applied to CT abdominal images", In Proc. 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Vol. 1, pp. 1561-1564, 2004.
Abstract: Three-dimensional (3-D) interpolation from 2-D image slices is widely used to aid the display, analysis and other biomedical image processing. We investigate the performance of 5 scene-based interpolation methods: linear, cubic spline, modified cubic spline and sine-based functions (Dirichlet apodization and Hanning apodization). We test our methods on four sets of computed tomography (CT) abdominal images, which have more organs in them compared to other biomedical images. Results show that, contrary to the 1-D or 2-D cases, linear interpolation acts as well as, even slightly better than all the other methods in the sense of signal to noise ratio in most cases, while the computational load of linear interpolation is only about half of the other methods. The reason for the relative high performance of linear interpolation is probably the large distance between consecutive images, which indicates low inter-slice correlation.
BibTeX:
@inproceedings{Lu2004a,
  author = {Lu, R. and Marziliano, P. and Thng, C. H. },
  title = {Comparison of scene-based interpolation methods applied to CT abdominal images},
  booktitle = {Proc. 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society},
  year = {2004},
  volume = {1},
  pages = {1561--1564},
  doi = {http://dx.doi.org/10.1109/IEMBS.2004.1403476}
}

biomed_

Marziliano, P., Winkler, S., Dufaux, F. & Ebrahimi, T. (2004), "Perceptual Blur and Ringing Metrics: Application to JPEG2000", Elsevier Signal Processing: Image Communication, Vol.19, no.2, pp. 163-172, 2004.
Abstract: In this paper, we present full-reference as well as no-reference metrics for typical JPEG 2000 compression artifacts, namely blur and ringing. These metrics are based on an analysis of the edges and adjacent regions in an image. Their perceptual significance is corroborated through subjective experiments. The proposed measurement algorithms are shown to perform well over a wide range of image content and compression ratios. They have low computational complexity and are near real-time. Potential applications of these novel metrics include source coding optimization and network resource management.
BibTeX:
@inproceedings{Marziliano2004a,
  author = {Marziliano, P. and Winkler, S. and Dufaux, F.  and Ebrahimi, T. },
  title = {Perceptual Blur and Ringing Metrics: Application to JPEG2000},
  booktitle = {Elsevier Signal Processing: Image Communication},
  year = {2004},
  volume = {19},
  pages = {163-172},
  doi = {http://infoscience.epfl.ch/record/87134}
}

perceptual_

Qiu, G., Marziliano, P., Ho, A.T.S., He, D. & Sun, Q. (2004), "A hybrid watermarking scheme for H.264/AVC video", In Proc. 17th International Conference on Pattern Recognition, Vol. 4, pp. 865-868, 2004.
Abstract: A novel H.264/AVC watermarking method is proposed in this paper. By embedding the robust watermark into DCT domain and the fragile watermark into motion vectors respectively, the proposed method can jointly achieve both copyright protection and authentication. Our scheme outperforms other video watermarking schemes on higher watermarking capacity especially in lower compression bit-rates. Furthermore, being well aligned with Lagrangian optimization for mode choice featured in H.264/AVC, the proposed scheme only introduces small distortions into the video content. Experimental results also demonstrate that the proposed solution is very computationally efficient during watermark extraction.
BibTeX:
@inproceedings{Qiu2004a,
  author = {Qiu, Gang and Marziliano, P. and Ho, A. T. S. and He, Dajun and Sun, Qibin},
  title = {A hybrid watermarking scheme for H.264/AVC video},
  booktitle = {Proc. 17th International Conference on Pattern Recognition },
  year = {2004},
  volume = {4},
  pages = {865--868},
  doi = {http://dx.doi.org/10.1109/ICPR.2004.1333909}
}

watermarking_

Marziliano, P., Dufaux, F., Winkler, S. & Ebrahimi, T. (2002), "A no-reference perceptual blur metric", In Proc. International Conference on Image Processing, Vol. 3, pp.57-60, 2002.
Abstract: We present a no-reference blur metric for images and video. The blur metric is based on the analysis of the spread of the edges in an image. Its perceptual significance is validated through subjective experiments. The novel metric is near real-time, has low computational complexity and is shown to perform well over a range of image content. Potential applications include optimization of source coding, network resource management and autofocus of an image capturing device.
BibTeX:
@inproceedings{Marziliano2002a,
  author = {Marziliano, P. and Dufaux, F. and Winkler, S. and Ebrahimi, T. },
  title = {A no-reference perceptual blur metric},
  booktitle = {Proc. IEEE International Conference on Image Processing },
  year = {2002},
  volume = {3},
  pages = {57--60},
  doi = {http://dx.doi.org/10.1109/ICIP.2002.1038902}
}

perceptual_

Vetterli, M., Marziliano, P. & Blu, T. (2002), "Sampling signals with finite rate of innovation", IEEE Transactions on Signal Processing, Vol. 50(6), pp. 1417-1428, 2002.
Abstract: The authors consider classes of signals that have a finite number of degrees of freedom per unit of time and call this number the rate of innovation. Examples of signals with a finite rate of innovation include streams of Diracs (e.g., the Poisson process), nonuniform splines, and piecewise polynomials. Even though these signals are not bandlimited, we show that they can be sampled uniformly at (or above) the rate of innovation using an appropriate kernel and then be perfectly reconstructed. Thus, we prove sampling theorems for classes of signals and kernels that generalize the classic "bandlimited and sinc kernel" case. In particular, we show how to sample and reconstruct periodic and finite-length streams of Diracs, nonuniform splines, and piecewise polynomials using sinc and Gaussian kernels. For infinite-length signals with finite local rate of innovation, we show local sampling and reconstruction based on spline kernels. The key in all constructions is to identify the innovative part of a signal (e.g., time instants and weights of Diracs) using an annihilating or locator filter: a device well known in spectral analysis and error-correction coding. This leads to standard computational procedures for solving the sampling problem, which we show through experimental results. Applications of these new sampling results can be found in signal processing, communications systems, and biological systems
BibTeX:
@article{Vetterli2002a,
  author = {Vetterli, M. and Marziliano, P. and Blu, T. },
  title = {Sampling signals with finite rate of innovation},
  journal = {IEEE Transactions on Signal Processing},
  year = {2002},
  volume = {50},
  number = {6},
  pages = {1417--1428},
  doi = {http://dx.doi.org/10.1109/TSP.2002.1003065}
}

samplingtheory_

Marziliano, P. (2001), "Sampling Innovations".  Thesis No.2369, Ecole Polytechnique Federale de Lausanne, Switzerland,  April, 2001.
BibTeX:
@phdthesis{PinaPhDThesis,
  author = {Pina Marziliano},
  title = {Sampling Innovations},
  school = {Ecole Polytechnique Federale de Lausanne, Switzerland},
  year = {2001},
  note = {No. 2369}
}

samplingtheory_

Vetterli, M., Marziliano, P. & Blu, T. (2001), "A sampling theorem for periodic piecewise polynomial signals", In Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 6, pp. 3893-3896, 2001.
Abstract: We consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomials. We demonstrate that by using an adequate sampling kernel and a sampling rate greater or equal to the number of degrees of freedom per unit of time, one can uniquely reconstruct such signals. This proves a sampling theorem for a wide class of signals beyond bandlimited signals. Applications of this sampling theorem can be found in signal processing, communication systems and biological systems
BibTeX:
@inproceedings{Vetterli2001a,
  author = {Vetterli, M. and Marziliano, P. and Blu, T. },
  title = {A sampling theorem for periodic piecewise polynomial signals},
  booktitle = {Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '01)},
  year = {2001},
  volume = {6},
  pages = {3893--3896},
  doi = {http://dx.doi.org/10.1109/ICASSP.2001.940694}
}

samplingtheory_

Ferland, J. A., Marziliano, P. (2001), "Efficient and Local Efficient Solutions for Assigment Type Problems", RAIRO 35 pp. 301-314, 2001.
Abstract: In this paper, we analyse the multiobjective problem generated by applying a goal programming approach to deal with linear assignment type problem. We specify sucient conditions for a solution to be ecient for this problem. The notion of eciency with respect to a neighborhood is also introduced and characterized through sufficient conditions. Unfortunately, these conditions are not necessary in general.
BibTeX:
@article{Ferland2001a,
  author = {Ferland J. A. and Marziliano, P.},
  title = {Efficient and Local Efficient Solutions for Assigment Type Problems},
  journal = {RAIRO},
  year = {2001},
  volume = {35},
  pages = {301-314},
}

optimization_

Marziliano, P. & Vetterli, M. (2000), "Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations", IEEE Transactions on Signal Processing. Vol. 48(12), pp. 3462-3471, 2000.
Abstract: The purpose of this paper is to develop methods that can reconstruct a bandlimited discrete-time signal from an irregular set of samples at unknown locations. We define a solution to the problem using first a geometric and then an algebraic point of view. We find the locations of the irregular set of samples by treating the problem as a combinatorial optimization problem. We employ an exhaustive method and two descent methods: the random search and cyclic coordinate methods. The numerical simulations were made on three types of irregular sets of locations: random sets; sets with jitter around a uniform set; and periodic nonuniform sets. Furthermore, for the periodic nonuniform set of locations, we develop a fast scheme that reduces the computational complexity of the problem by exploiting the periodic nonuniform structure of the sample locations in the DFT.
BibTeX:
@article{Marziliano2000a,
  author = {Marziliano, P. and Vetterli, M. },
  title = {Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations},
  journal = {IEEE Transactions on Signal Processing},
  year = {2000},
  volume = {48},
  number = {12},
  pages = {3462--3471},
  doi = {http://dx.doi.org/10.1109/78.887038}
}

samplingtheory_

Marziliano, P., Vetterli, M. (1999), "Irregular sampling in Approximation Subspaces", Sampling Theory and Applications (SampTA) Workshop, Loen, Norway, August, 1999.
Abstract:
BibTeX:
@inproceedings{MarzilianoV1999b,
  author = {Marziliano, P. and Vetterli, M. },
  title = {Irregular sampling in Approximation Subspaces},
  booktitle = {SampTA},
  year = {1999},
  volume = {},
  pages = {},
  doi = { }
}

samplingtheory_

Marziliano, P. & Vetterli, M. (1999), "Irregular sampling with unknown locations", In Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing ,Vol. 3, pp. 1657-1660, 1999.
Abstract: This paper is concerned with finding the locations of an irregularly sampled finite discrete-time band-limited signal. First a geometrical approach is described and is transformed into an optimization problem. Due to the structure of the problem, multiple solutions exist and are shifts of each other. Three methods of solution are suggested: an exhaustive method which finds the exact set of locations; random search method and cyclic coordinate method, both descent methods, which find approximate or exact solutions. The cyclic coordinate method is less likely to fall in a local minimum and proves to be more satisfactory than the random search method in the presence of jitter. A practical example, where a signal is sampled several times with a regular spacing, is also described.
BibTeX:
@inproceedings{MarzilianoV1999a,
  author = {Marziliano, P. and Vetterli, M. },
  title = {Irregular sampling with unknown locations},
  booktitle = {Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing ICASSP '99},
  year = {1999},
  volume = {3},
  pages = {1657--1660 },
  doi = {http://dx.doi.org/10.1109/ICASSP.1999.756310}
}

samplingtheory_

Marziliano, P. (1996), "Problèmes multicritère avec contraintes d'affectation". MSc Thesis, Département d'Informatique et de Recherche Opérationelle, Université de Montréal, Montreal, Canada, November, 1996.
BibTeX:

@mastersthesis{PinaMScThesis,
  author = {Pina Marziliano},
  title = {Problèmes multicritères avec contraintes d'affectation},
  school = {Département d'Informatique et de Recherche Opérationelle, Université de Montréal},
  year = {1996}
}

optimization_