Jean-Pierre Antoine

Two-Dimensional Wavelets and their Relatives (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 12. Juni 2008
• Englisch
• ISBN-13: 9780511227080
• Artikelnr.: 38196455

Autorenporträt

Jean-Pierre Antoine is the Professor of Mathematical Physics at the Institut de Physique Théorique, Université catholique de Louvain.

Inhaltsangabe

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.