Sparse Image and Signal Processing

Wavelets, Curvelets, Morphological Diversity

Jean Luc Starck, Fionn Murtagh, Jalal M. Fadili

Research output: Book/ReportBook

381 Citations (Scopus)

Abstract

This book presents the state of the art in sparse and multiscale image and signal processing, covering linear multiscale transforms, such as wavelet, ridgelet, or curvelet transforms, and non-linear multiscale transforms based on the median and mathematical morphology operators. Recent concepts of sparsity and morphological diversity are described and exploited for various problems such as denoising, inverse problem regularization, sparse signal decomposition, blind source separation, and compressed sensing. This book weds theory and practice in examining applications in areas such as astronomy, biology, physics, digital media, and forensics. A final chapter explores a paradigm shift in signal processing, showing that previous limits to information sampling and extraction can be overcome in very significant ways. Matlab and IDL code accompany these methods and applications to reproduce the experiments and illustrate the reasoning and methodology of the research are available for download at the associated web site.

Original languageEnglish
PublisherCambridge University Press
Number of pages336
ISBN (Electronic)9780511730344
ISBN (Print)9780521119139
DOIs
Publication statusPublished - Jul 2010
Externally publishedYes

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Signal processing
Image processing
Compressed sensing
Digital storage
Mathematical morphology
Blind source separation
Astronomy
Inverse problems
Mathematical operators
Websites
Physics
Sampling
Decomposition
Experiments
Digital forensics

Cite this

Starck, Jean Luc ; Murtagh, Fionn ; Fadili, Jalal M. / Sparse Image and Signal Processing : Wavelets, Curvelets, Morphological Diversity. Cambridge University Press, 2010. 336 p.
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Sparse Image and Signal Processing : Wavelets, Curvelets, Morphological Diversity. / Starck, Jean Luc; Murtagh, Fionn; Fadili, Jalal M.

Cambridge University Press, 2010. 336 p.

Research output: Book/ReportBook

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