Two-dimensional Wavelets and Their Relatives

Jean-Pierre Antoin Antoine, Romain Murenzi, Pierre Vandergheynst, Syed Twareque Ali

460 pages, parution le 08/10/2004

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Résumé

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.

Sommaire

Warm-up: the 1-D continuous wavelet transform
The 2-D continuous wavelet transform
Some 2-D wavelets and their performances
Applications of the 2-D CWT I. Image processing
Applications of the 2-D CWT II. Physical applications
Matrix geometry of wavelet analysis I
Matrix geometry of wavelet analysis II
Minimal uncertainty and Wigner transformations
Higher-dimensional wavelets
Spatio-temporal wavelets and motion estimation
Beyond wavelets
Epilogue
Appendix 1

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Jean-Pierre Antoin Antoine, Romain Murenzi, Pierre Vandergheynst, Syed Twareque Ali
Parution	08/10/2004
Nb. de pages	460
Format	18 x 25
Couverture	Relié
Poids	1135g
Intérieur	Noir et Blanc
EAN13	9780521624060
ISBN13	978-0-521-62406-0