Wavelet methods in mathematical analysis and engineering / editors, Alain Damlamian, Stéphane Jaffard.

Format:

Book

Contributor:

Damlamian, Alain.

Jaffard, Stéphane, 1962-

Series:

Series in contemporary applied mathematics ; 14.

Series in contemporary applied mathematics CAM ; 14

Language:

English

Subjects (All):

Wavelets (Mathematics).

Mathematical analysis.

Physical Description:

1 online resource (200 p.)

Edition:

1st ed.

Place of Publication:

Beijing : Higher Education Press ; Singapore ; [Hackensack] N.J. : World Scientific, c2010.

Language Note:

English

Summary:

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art in several active areas of research where wavelet ideas, or more generally multiresolution ideas have proved particularly effective. The main applications covered are in the numerical analysis of PDEs, and signal and image processing. Recently introduced techniques such as Empirical Mode Decomposition (EMD) and new trends in the recovery of missing data, such as compressed sensing, are also present

Contents:

Preface; Contents; Jianfeng Cai, Raymond Chan, Lixin Shen, Zuowei Shen: Tight Frame Based Method for High-Resolution Image Reconstruction; Abstract; 1 High-resolution image reconstruction model; 2 Preliminaries on tight framelets; 3 Tight frame system arising from highresolution image reconstruction; 4 Algorithms; 5 Analysis of Algorithm I; 6 Numerical experiments; References; Albert Cohen: Greedy Algorithms for Adaptive Triangulations and Approximations; 1 Introduction; 2 Best N -term approximation; 3 Adaptive triangulations; References

Stephane Jaffard, Patrice Abry, Stephane G. Roux, Beatrice Vedel, Herwig Wendt: The Contribution of Wavelets in Multifractal Analysis.Abstract; 1 Kolmogorov's scaling law and function spaces; 2 Pointwise regularity; 3 Lacunary Fourier series; 4 Wavelets, function spaces and Holder regularity; 5 The multifractal formalism; References; Chaochun Liu and Daoqing Dai: Wavelet Methods for Image-Based Face Recognition: A Survey; 1 Introduction; 2 Face recognition task; 3 The structure of a Pattern Recognition System (PRS); 4 Wavelet background; 5 Preprocessing: wavelets for noise removal

6 Wavelet for feature extraction7 Conclusion and discussion; References; Lihua Yang: Hilbert-Huang Transform: Its Background, Algorithms and Applications; Abstract; 1 Background: amplitude, phase and frequency; 2 Hilbert-Huang transform; 3 Some relevant questions and our recent researches; 4 Applications of Hilbert-Huang transform to pattern recognition; Acknowledgement; References

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-283-14506-5

9786613145062

981-4322-87-3

OCLC:

741492807