Two-Dimensional Wavelets and their Relatives

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Jean-Pierre Antoine (Université Catholique de Louvain, Belgium) Romain Murenzi (Clark Atlanta University, Georgia)

Two-Dimensional Wavelets and their Relatives

Jean-Pierre Antoine (Université Catholique de Louvain, Belgium), Romain Murenzi (Clark Atlanta University, Georgia), Pierre Vandergheynst (Swiss Federal Institute of Technology, Zürich) , Syed Twareque Ali (Concordia University, Montréal)

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English

Cambridge University Press
12 June 2008

Calculus & mathematical analysis; Maths for engineers; Electronics & communications engineering

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.

By: Jean-Pierre Antoine (Université Catholique de Louvain Belgium), Romain Murenzi (Clark Atlanta University, Georgia), Pierre Vandergheynst (Swiss Federal Institute of Technology, Zürich), Syed Twareque Ali (Concordia University, Montréal)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 246mm, Width: 187mm, Spine: 29mm
Weight: 870g
ISBN: 9780521065191
ISBN 10: 0521065194
Pages: 480
Publication Date: 12 June 2008
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.