Two-Dimensional Wavelets and their Relatives by Jean-Pierre AntoineTwo-Dimensional Wavelets and their Relatives by Jean-Pierre Antoine

Two-Dimensional Wavelets and their Relatives

byJean-Pierre Antoine, Romain Murenzi, Pierre Vandergheynst

Paperback | June 12, 2008

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This book introduces 2-D wavelets via 1-D continuous wavelet transforms. The authors then describe the underlying mathematics before progressing to more advanced topics such as matrix geometry of wavelet analysis and three-dimensional wavelets. Practical applications and illustrative examples are employed extensively throughout, ensuring the book's value to engineers, physicists and mathematicians. Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular, for analysis of real-time signals in such areas as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking.
Title:Two-Dimensional Wavelets and their RelativesFormat:PaperbackDimensions:480 pages, 9.69 × 7.44 × 0.98 inPublished:June 12, 2008Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521065194

ISBN - 13:9780521065191


Table of Contents

Prologue; 1. Warm-up: the 1-D continuous wavelet transform; 2. The 2-D continuous wavelet transform; 3. Some 2-D wavelets and their performances; 4. Applications of the 2-D CWT I. Image processing; 5. Applications of the 2-D CWT II. Physical applications; 6. Matrix geometry of wavelet analysis I; 7. Matrix geometry of wavelet analysis II; 8. Minimal uncertainty and Wigner transformations; 9. Higher-dimensional wavelets; 10. Spatio-temporal wavelets and motion estimation; 11. Beyond wavelets; Epilogue; Appendix 1; Bibliography; Index.

Editorial Reviews

"[The book] takes the reader on a journey starting from a heuristic approach to wavelets to the state of the art. The presentation is rigorous, yet easy to follow. I highly recommend this book to both beginners and experts." Mathematical Reviews, Ahmed I. Zayed