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Wavelet Analysis and Multiresolution Methods : Lecture Notes in Pure and Applied Mathematics - Tian-Xiao He

Wavelet Analysis and Multiresolution Methods

Lecture Notes in Pure and Applied Mathematics

Paperback Published: 1st May 2000
ISBN: 9780824704179
Number Of Pages: 396

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This volume contains a selection of papers presented at the Wavelet Analysis and Multiresolution Methods Session of The American Mathematical Society meeting held recently at the University of Illinois at Urbana-Champaign - focusing on the use of wavelet analysis to solve a broad range of signal, time series, and image problems.
Offering self-contained papers that include an introduction to a major topic in wavelet analysis, recent research results, analysis of key historical developments, and a detailed list of references, Wavelet Analysis and Multiresolution Methods explores the construction, analysis, computation, and application of multiwavelets; scaling vectors; nonhomogeneous refinement: multivariate orthogonal and biorthogonal wavelets; and more.
Wavelet Analysis and Multiresolution Methods is a noteworthy acquisition for pure, applied, and industrial mathematicians; computer scientists; optical, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.

Prefacep. iii
Contributorsp. vii
Higher Order Multivariate Wavelet Type Approximationp. 1
Nonlinear Haar Approximation of Functions with Bounded Mixed Derivativep. 27
Wavelet Coefficients Associated with Translation and Rotation Transformp. 49
Multiwavelet Construction via the Lifting Schemep. 57
Methods in Nonhomogeneous Refinementp. 81
Construction of Multivariate Biorthogonal Wavelets by CBC Algorithmp. 105
Construction of Prewavelets with Minimum Support over Triangulationsp. 145
Wavelet Analysis: Applications in Industryp. 167
Divergence-Free Multiwavelets on Rectangular Domainsp. 203
Multiwavelet Solutions for the Dirichlet Problemp. 241
Calculating the Spectral Radius of a Set of Matricesp. 255
Polynomial Frames for the Detection of Singularitiesp. 273
Sampling Bounds and Stabilityp. 299
On the Construction of Positive Scaling Vectorsp. 317
A Geometric Approach to Ergodic Non-Homogeneous Markov Chainsp. 341
Conversion between Orthogonal and Biorthogonal Waveletsp. 367
Indexp. 379
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780824704179
ISBN-10: 0824704177
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 396
Published: 1st May 2000
Publisher: MARCEL DEKKER INC
Country of Publication: US
Dimensions (cm): 25.4 x 18.42  x 1.91
Weight (kg): 0.7
Edition Number: 1

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