Wavelet Analysis And Applications

by Tao, Qian; Mang, Vai; Yuesheng, Xu

• ISBN13: 9783764377779
• ISBN10: 3764377771
• Edition: CD
• Format: Hardcover
• Copyright: 2007-04-30
• Publisher: Birkhauser

Summary

This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the corner-stone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, in some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributors now are prominent mathematicians working mainly in theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics.

Table of Contents

Approximation and Fourier analysis
Local smoothness conditions on a function which guarantee convergence of double Walsh-Fourier series of this function	p. 3
Linear transformations of R[superscript N] and problems of convergence of Fourier series of functions which equal zero on some set	p. 13
Sidon type inequalities for wavelets	p. 25
Almansi decomposition for Dunkl-Hehnholtz operators	p. 35
An uncertainty principle for operators	p. 43
Uncertainty principle for Clifford geometric algebras Cl[subscript n,0], n = 3 (mod 4) based on Clifford Fourier transform	p. 47
Construction of wavelets and frame theory
Orthogonal wavelet vectors in a Hilbert space	p. 59
Operator frames for B(H)	p. 67
On the stability of multi-wavelet frames	p. 83
Biorthogonal wavelets associated with two-diniensional interpolatory function	p. 91
Parameterization of orthogonal filter bank with linear phase	p. 99
On multivariate wavelets with trigonometric vanishing moments	p. 107
Directional wavelet analysis with Fourier-type bases for image processing	p. 123
Unitary systems and wavelet sets	p. 143
Clifford analysis and the continuous spherical wavelet transform	p. 173
Clifford-Jacobi polynomials and the associated continuous wavelet transform in Euclidean space	p. 185
Fractal and multifractal theory, wavelet algorithm, wavelet in numerical analysis
Wavelet leaders in multifractal analysis	p. 201
Application of fast wavelet transformation in parametric system identification	p. 247
Image denoising by a novel digital curvelet reconstruction algorithm	p. 255
Condition number for under-determined Toeplitz systems	p. 263
Powell-Sabin spline prewavelets on the hexagonal lattice	p. 273
Time-frequency analysis, adaptive representation of nonlinear and non-stationary signals
Time-frequency aspects of nonlinear Fourier atoms	p. 287
Mono-components for signal decomposition	p. 299
Signal-adaptive aeroelastic flight data analysis with HHT	p. 321
An adaptive data analysis method for nonlinear and nonstationary time series : the empirical mode decomposition and Hilbert spectral analysis	p. 363
Transfer colors from CVHD to MRI based on wavelets transform	p. 381
Medical image fusion by multi-resolution analysis of wavelets transform	p. 389
Salient building detection from a single nature image via wavelet decomposition	p. 397
SAR images despeckling via bayesian fuzzy shrinkage based on stationary wavelet transform	p. 407
Super-resolution reconstruction using Haar wavelet estimation	p. 410
The design of Hilbert transform pairs in dual-tree complex wavelet transform	p. 431
Supervised learning using characteristic generalized Gaussian density and its application to Chinese materia medica identification	p. 443
A novel algorithm of singular points detection for fingerprint images	p. 453
Wavelet receiver : a new receiver scheme for doubly-selective channels	p. 463
Face retrieval with relevance feedback using lifting wavelets features	p. 477
High-resolution image reconstruction using wavelet lifting scheme	p. 489
Mulitiresolution spatial data compression using lifting scheme	p. 503
Ridgelet transform as a feature extraction method in remote sensing image recognition	p. 515
Analysis of frequency spectrum for geometric modeling in digital geometry	p. 525
Detection of spindles in sleep EEGs using a novel algorithm based on the Hilbert-Huang transform	p. 543
Wavelet-domain hidden Markov tree model with localized parameters for image denoising	p. 561
Table of Contents provided by Blackwell. All Rights Reserved.