Two-dimensional wavelets and their relatives
著者
書誌事項
Two-dimensional wavelets and their relatives
Cambridge University Press, 2004
- : hbk
- : pbk
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注記
Includes bibliographical references (p. 431-453) and index
内容説明・目次
内容説明
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.
目次
- 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.
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