Sparse Image and Signal Processing

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.

• Cutting-edge applications are discussed in terms of the algorithms needed, for example, in painting to reconstruct large areas of missing data in images
• Nearly everything covered in the book can be redone by the reader, using software code from the book's associated web site, www.SparseSignalRecipes.info
• Multiresolution and multiscale transforms in image and signal processing need a book like this, providing a central and very accessible source of reference