Two-Dimensional Wavelets and Their Relatives

Erscheinungsjahr 2008
ISBN: 978-0-521-06519-1
Verlag: Cambridge University Press

Buch, Englisch, 476 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 920 g

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.

Autoren/Hrsg.

Antoine, Jean-Pierre

Murenzi, Romain

Vandergheynst, Pierre

Ali, Syed Twareque

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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.

Über Autor(innen)

Ali, Syed Twareque
Syed Twareque Ali is a Professor at the Department of Mathematics and Statistics, Concordia University, Montréal.

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

Vandergheynst, Pierre
Pierre Vandergheynst is a Professor at the Signal Processing Institute, Swiss Federal Insitute of Technology, Lausanne.

Murenzi, Romain
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.