Sparse Image and Signal Processing: Wavelets, Curvelets, Morphological Diversity (Starck, J.-L., et al; 2010) [Book Reviews]

Although it has fewer than 300 pages,this book covers an impressive variety of topics. The first half of the book is devoted to a survey of sparse representations. Here, the authors move rather quickly, beginning with descriptions of the classical continuous and discrete wavelet transforms, and then proceed to more advanced topics such as wavelet lifting, wavelet packets, complex wavelets,and undecimated wavelets. They culminate with a discussion of the modern ridgelet and curvelet transforms for image and higher-dimensional signal processing. Along the way, brief explanations are provided for the advantages and disadvantages of each transform??for example, some are better for compression, while others are preferable for feature extraction and noise removal??and selected details are given for how each may be implemented computationally. Each chapter concludes with a set of numerical experiments that demonstrate some of the basic concepts to the reader, and all software necessary toreproduce these experiments is available on a website.