M. Victor Wickerhauser

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Adapted waveform analysis uses a library of or-thonormal bases and an efficiency functional to match a basis to a given signal or family of signals. It permits efficient compression of a variety of signals such as sound and images. The predefined libraries of modulated waveforms include orthogonal wavelet-packets, and localized trigonometric functions, have(More)
To my parents Acknowledgments Let me begin by thanking my adviser Victor Wickerhauser for his encouragement and support over the past three years, and for his conndence in my ability to complete this dissertation. I owe special thanks to Guido Weiss for substituting as advisor while Victor Wickerhauser was on academic leave in the spring of 1998. I would(More)
Wavelet-based signal processing has become commonplace in the signal processing community over the past decade and wavelet-based software tools and integrated circuits are now commercially available. One of the most important applications of wavelets is in removal of noise from signals, called denoising, accomplished by thresholding wavelet coefficients in(More)
The purpose of this paper is to develop a motion-based segmentation f o r digital image sequences that is based o n continuous wavelet transform. Continuous wavelet transform allows estimating the motion parameters o n all the moving discontinuities, edges and boundaries in the image sequence. The important fact an our case is that this technique provides(More)
This paper addresses the problem of estimating and analyzing accelerated motion in spatio-temporal discrete signals. It is assumed that the digital signals of interest are acquired from imaging sensors and structured as digital image sequences. The motion trajectories in the signal are two-dimensional spatial projections in time of three-dimensional(More)