LEADER 04101nam 2200637 a 450 001 9910788548203321 005 20230725045549.0 010 $a1-283-14506-5 010 $a9786613145062 010 $a981-4322-87-3 035 $a(CKB)3360000000001416 035 $a(EBL)731159 035 $a(OCoLC)741492807 035 $a(SSID)ssj0000526497 035 $a(PQKBManifestationID)12175680 035 $a(PQKBTitleCode)TC0000526497 035 $a(PQKBWorkID)10520434 035 $a(PQKB)10444293 035 $a(MiAaPQ)EBC731159 035 $a(WSP)00007899 035 $a(Au-PeEL)EBL731159 035 $a(CaPaEBR)ebr10480302 035 $a(CaONFJC)MIL314506 035 $a(EXLCZ)993360000000001416 100 $a20110525d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aWavelet methods in mathematical analysis and engineering$b[electronic resource] /$feditors, Alain Damlamian, Ste?phane Jaffard 210 $aBeijing $cHigher Education Press ;$aSingapore ;$a[Hackensack] N.J. $cWorld Scientific$dc2010 215 $a1 online resource (200 p.) 225 1 $aSeries in contemporary applied mathematics CAM ;$v14 300 $aDescription based upon print version of record. 311 $a981-4322-86-5 320 $aIncludes bibliographical references. 327 $aPreface; 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 327 $aStephane 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 327 $a6 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 330 $aThis book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art in several active areas of research where wavelet ideas, or more generally multiresolution ideas have proved particularly effective. The main applications covered are in the numerical analysis of PDEs, and signal and image processing. Recently introduced techniques such as Empirical Mode Decomposition (EMD) and new trends in the recovery of missing data, such as compressed sensing, are also present 410 0$aSeries in contemporary applied mathematics ;$v14. 606 $aWavelets (Mathematics) 606 $aMathematical analysis 615 0$aWavelets (Mathematics) 615 0$aMathematical analysis. 676 $a515.2433 701 $aDamlamian$b Alain$0768005 701 $aJaffard$b Ste?phane$f1962-$0422336 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788548203321 996 $aWavelet methods in mathematical analysis and engineering$93742076 997 $aUNINA