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 Submitted by   Information 
Jean-Pierre Antoine
Title Two-Dimensional Wavelets and their Relatives
Author(s) J-P.Antoine, R.Murenzi, P.Vandergheynst and S.T.Ali
Publication date Sep 09 2004
Publisher Cambridge University Press
ISBN 0-521-62406-1
Number of pages 476
Summary A systematic and self-contained treament of 2-D wavelets and some of their generalizations (3-D wavelets, wavelets on the sphere), with a special emphasis on practical applications. The necessary mathematical tools are introduced progressively.
Comments Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms when processing rapidly varying functions and signals. In particular, they offer benefits for real-time applications such as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking. This book introduces the reader to 2-D wavelets via 1-D continuous wavelet transforms, and includes a long list of useful applications. The authors then describe in detail the underlying mathematics before moving on to more advanced topics such as matrix geometry of wavelet analysis, three-dimensional wavelets and wavelets on a sphere. Throughout the book, practical applications and illustrative examples are used extensively, ensuring the book’s value to engineers, physicists and mathematicians alike.

• The first of its kind in print dealing with the two and higher dimensional continuous wavelet transforms, with extensive examples of applications
• Gradual introduction of the underlying mathematical tools, with very few prerequisites, yet leading the reader to the research frontier
• Covers both the continuous and the discrete wavelet transforms

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