Beyond Wavelets: Volume 10
Published on 11. December 2003
Book
Hardback
320 pages
978-0-12-743273-1 (ISBN)
Description
"Beyond Wavelets" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago by
Morlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering.
Classical wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach.
However, with the current advances in science and technology, there is an immediate need to extend wavelet mathematical tools as well. "Beyond Wavelets" presents a list of ideas and mathematical
foundations for such extensions, including: continuous and digital ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are extended to pyramidal directional and nonuniform filter banks. In addition, this volume includes a
method for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation.
Investigators already familiar with wavelet methods from areas such as engineering, statistics, and mathematics will benefit by owning this volume.
Morlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of science and engineering.
Classical wavelets have provided effective and efficient mathematical tools for time-frequency analysis which enhances and replaces the Fourier approach.
However, with the current advances in science and technology, there is an immediate need to extend wavelet mathematical tools as well. "Beyond Wavelets" presents a list of ideas and mathematical
foundations for such extensions, including: continuous and digital ridgelets, brushlets, steerable wavelet packets, contourlets, eno-wavelets, spline-wavelet frames, and quasi-affine wavelets. Wavelet subband algorithms are extended to pyramidal directional and nonuniform filter banks. In addition, this volume includes a
method for tomographic reconstruction using a mechanical image model and a statistical study for independent adaptive signal representation.
Investigators already familiar with wavelet methods from areas such as engineering, statistics, and mathematics will benefit by owning this volume.
Reviews / Votes
"The text is well prepared, and the cast of authors is impressive. If you are a researcher in image processing using wavelets, this book is worth owning." --Robert Lund, Clemson University in the Journal of the American Statistical AssociationMore details
Series
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Anyone interested in wavelet technology, including mathematicians, physical scientists, engineers, etc.
Dimensions
Height: 229 mm
Width: 152 mm
Weight
630 gr
ISBN-13
978-0-12-743273-1 (9780127432731)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Person
Edited by Grant Welland
Content
Digital Ridgelet Transform based on True Ridge Functions; Digital Implementation of Ridgelet Packets; Brushlets: Steerable Wavelet Packets; Contourlets; ENO-wavelet Tranforms and Some Applications; A Mechanical Image Mdoel for Baeysian Tomographic Reconstruction; Sparsity vs. Statistical Independence in Adaptive Signal Representations: A Case Study of the Spike Process; Nonuniform Filter Banks: New Results and Open Problems; Recent Development of Spline Wavelet Frames with Complace Support; Affine, Quasi-Affine and Co-Affine Wavelets