Two-Dimensional Wavelets and their Relatives
- ISBN-10
- 1139453149
- ISBN-13
- 9781139453141
- Category
- Technology & Engineering
- Language
- English
- Published
- 2008-06-12
- Publisher
- Cambridge University Press
- Authors
- Jean-Pierre Antoine, Romain Murenzi, Pierre Vandergheynst
Description
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.
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