Two-Dimensional Wavelets and their Relatives

Häftad, Engelska, 2008

AvJean-Pierre Antoine,Romain Murenzi,Pierre Vandergheynst,Syed Twareque Ali,Belgium) Antoine, Jean-Pierre (Universite Catholique de Louvain,Georgia) Murenzi, Romain (Clark Atlanta University,Zurich) Vandergheynst, Pierre (Swiss Federal Institute of Technology,Montreal) Ali, Syed Twareque (Concordia University

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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.

Produktinformation

Utgivningsdatum2008-06-12
Mått187 x 246 x 29 mm
Vikt870 g
FormatHäftad
SpråkEngelska
Antal sidor480
FörlagCambridge University Press
ISBN9780521065191

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Jean-Pierre Antoine is the Professor of Mathematical Physics at the Institut de Physique Théorique, Université catholique de Louvain. Romain Murenzi is currently Minister of Education, Science, Technology, and Scientific Research of the Republic of Rwanda, on leave of absence from the Department of Physics, Clark Atlanta University, Atlanta, Georgia. Pierre Vandergheynst is a Professor at the Signal Processing Institute, Swiss Federal Insitute of Technology, Lausanne. Syed Twareque Ali is a Professor at the Department of Mathematics and Statistics, Concordia University, Montréal.

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.