LEADER 03782nam 2200553 a 450 001 9910139339903321 005 20200520144314.0 010 $a1-282-25185-6 010 $a9786613813930 010 $a1-118-03290-X 010 $a1-118-03115-6 035 $a(CKB)2560000000060925 035 $a(EBL)661616 035 $a(OCoLC)705538684 035 $a(SSID)ssj0000506339 035 $a(PQKBManifestationID)11300176 035 $a(PQKBTitleCode)TC0000506339 035 $a(PQKBWorkID)10513364 035 $a(PQKB)11306547 035 $a(MiAaPQ)EBC661616 035 $a(EXLCZ)992560000000060925 100 $a19990419d1999 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscovering wavelets /$fEdward Aboufadel and Steven Schlicker 210 $aNew York $cWiley-Interscience$dc1999 215 $a1 online resource (142 p.) 300 $aDescription based upon print version of record. 311 $a0-471-33193-7 320 $aIncludes bibliographical references and index. 327 $aDiscovering Wavelets; Preface; Acknowledgments; Contents; 1 Wavelets, Fingerprints, and Image Processing; 1.1 Problems of the Digital Age; 1.2 Digitizing Fingerprint Images; 1.3 Signals; 1.4 The Haar Wavelet Family; 1.5 Processing Signals; 1.6 Thresholding and Compression of Data; 1.7 The FBI Wavelet/Scalar Quantization Standard; 2 Wavelets and Orthogonal Decompositions; 2.1 A Lego World; 2.2 The Wavelet Sons; 2.3 Sibling Rivalry: Two Bases for Vn; 2.4 Averaging and Differencing; 2.5 Projecting Functions Onto Wavelet Spaces; 2.6 Function Processing and Image Boxes 327 $a2.7 A Summary of Two Approaches to Wavelets3 Multiresolutions, Cascades, and Filters; 3.1 Extending the Haar Wavelets to the Real Line; 3.2 Other Elementary Wavelet Families; 3.3 Multiresolution Analysis; 3.4 The Haar Scaling Function Rediscovered; 3.5 Relationships Between the Mother and Father Wavelets; 3.6 Daubechies Wavelets; 3.7 High and Low Pass Filters; 3.8 More Problems of the Digital Age: Compact Discs; 4 Sample Projects; 4.1 Introduction: Overview of Projects; 4.2 Linear Algebra Project: Image Processing and Compression; 4.3 A Wavelet-Based Search Engine; 4.4 B-Splines 327 $a4.5 Processing with the D4 Wavelets4.6 Daubechies Wavelets with Six Refinement Coefficients; Appendix A Vector Spaces and Inner Product Spaces; A.l Vector Spaces; A.2 Subspaces; A.3 Inner Product Spaces; A.4 The Orthogonal Decomposition Theorem; Appendix B Maple Routines; B.1 Matrix Generator; B.2 Processing Sampled Data; B.3 Projections onto Wavelet Spaces; B.4 The Cascade Algorithm; B.5 Processing an Image from Pixel Images; Appendix C Answers to Selected Problems; Appendix D Glossary of Symbols; References; Index 330 $aAn accessible and practical introduction to waveletsWith applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra.The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI u 606 $aWavelets (Mathematics) 615 0$aWavelets (Mathematics) 676 $a515/.2433 700 $aAboufadel$b Edward$f1965-$0521872 701 $aSchlicker$b Steven$f1958-$0521873 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139339903321 996 $aDiscovering Wavelets$9837852 997 $aUNINA