04101nam 2200637 a 450 991078854820332120230725045549.01-283-14506-59786613145062981-4322-87-3(CKB)3360000000001416(EBL)731159(OCoLC)741492807(SSID)ssj0000526497(PQKBManifestationID)12175680(PQKBTitleCode)TC0000526497(PQKBWorkID)10520434(PQKB)10444293(MiAaPQ)EBC731159(WSP)00007899(Au-PeEL)EBL731159(CaPaEBR)ebr10480302(CaONFJC)MIL314506(EXLCZ)99336000000000141620110525d2010 uy 0engur|n|---|||||txtccrWavelet methods in mathematical analysis and engineering[electronic resource] /editors, Alain Damlamian, Stéphane JaffardBeijing Higher Education Press ;Singapore ;[Hackensack] N.J. World Scientificc20101 online resource (200 p.)Series in contemporary applied mathematics CAM ;14Description based upon print version of record.981-4322-86-5 Includes bibliographical references.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; ReferencesStephane 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 removal6 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; ReferencesThis 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 presentSeries in contemporary applied mathematics ;14.Wavelets (Mathematics)Mathematical analysisWavelets (Mathematics)Mathematical analysis.515.2433Damlamian Alain768005Jaffard Stéphane1962-422336MiAaPQMiAaPQMiAaPQBOOK9910788548203321Wavelet methods in mathematical analysis and engineering3742076UNINA