Wavelets: tools for science & technology
Gespeichert in:
| Vorheriger Titel: | Meyer, Yves Wavelets |
|---|---|
| Hauptverfasser: | , , |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
Soc. for Industrial and Applied Mathematics
2001
|
| Ausgabe: | Rev. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 256 S. graph. Darst. |
| ISBN: | 0898714486 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV013966127 | ||
| 003 | DE-604 | ||
| 005 | 20111011 | ||
| 007 | t | ||
| 008 | 011019s2001 d||| |||| 00||| eng d | ||
| 020 | |a 0898714486 |9 0-89871-448-6 | ||
| 035 | |a (OCoLC)45270234 | ||
| 035 | |a (DE-599)BVBBV013966127 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-29T |a DE-91G |a DE-634 |a DE-11 |a DE-83 |a DE-739 | ||
| 050 | 0 | |a QA403.3 | |
| 082 | 0 | |a 515/.2433 |2 21 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a MAT 428f |2 stub | ||
| 084 | |a 42C40 |2 msc | ||
| 100 | 1 | |a Jaffard, Stéphane |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wavelets |b tools for science & technology |c Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a Philadelphia |b Soc. for Industrial and Applied Mathematics |c 2001 | |
| 300 | |a XIII, 256 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Ondelettes | |
| 650 | 7 | |a Wavelets |2 gtt | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Meyer, Yves |e Verfasser |4 aut | |
| 700 | 1 | |a Ryan, Robert D. |e Verfasser |4 aut | |
| 780 | 0 | 0 | |i 1. Auflage |a Meyer, Yves |t Wavelets |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009559015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009559015 | ||
Datensatz im Suchindex
| _version_ | 1804128816696655872 |
|---|---|
| adam_text | WAVELETS TOOLS FOR SCIENCE & TECHNOLOGY STEPHANE JAFFARD UNIVERSITE
PARIS XII INSTITUT UNIVERSITAIRE DE FRANCE YVES MEYER ECOLE NORMALE
SUPERIEURE DE CACHAN ACADEMIE DES SCIENCES ROBERT D. RYAN PARIS, FRANCE
EIAJTL SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS PHILADELPHIA
CONTENTS PREFACE TO REVISED EDITION IX PREFACE FROM THE FIRST EDITION
XIII CHAPTER 1. SIGNALS AND WAVELETS 1 1.1 WHAT IS A SIGNAL? 1 1.2 THE
LANGUAGE AND GOALS OF SIGNAL AND IMAGE PROCESSING 2 1.3 STATIONARY
SIGNALS, TRANSIENT SIGNALS, AND ADAPTIVE CODING 6 1.4 GROSSMANN*MORLET
TIME-SCALE WAVELETS 8 1.5 TIME-FREQUENCY WAVELETS FROM GABOR TO MALVAR
AND WILSON 9 1.6 OPTIMAL ALGORITHMS IN SIGNAL PROCESSING 10 1.7 OPTIMAL
REPRESENTATION ACCORDING TO MARR 12 1.8 TERMINOLOGY 13 1.9 READER S
GUIDE 13 CHAPTER 2. WAVELETS FROM A HISTORICAL PERSPECTIVE 15 2.1
INTRODUCTION 15 2.2 FROM FOURIER (1807) TO HAAR (1909), FREQUENCY
ANALYSIS BECOMES SCALE ANALYSIS 16 2.3 NEW DIRECTIONS OF THE 1930S: PAUL
LEVY AND BROWNIAN MOTION .... 20 2.4 NEW DIRECTIONS OF THE 1930S:
LITTLEWOOD AND PALEY 21 2.5 NEW DIRECTIONS OF THE 1930S: THE FRANKLIN
SYSTEM 23 2.6 NEW DIRECTIONS OF THE 1930S: THE WAVELETS OF LUSIN 25 2.7
ATOMIC DECOMPOSITIONS FROM 1960 TO 1980 26 2.8 STROMBERG S WAVELETS 28
2.9 A FIRST SYNTHESIS: WAVELET ANALYSIS 29 2.10 THE ADVENT OF SIGNAL
PROCESSING 31 2.11 CONCLUSIONS 32 CHAPTER 3. QUADRATURE MIRROR FILTERS
35 3.1 INTRODUCTION 35 3.2 SUBBAND CODING: THE CASE OF IDEAL FILTERS 36
3.3 QUADRATURE MIRROR FILTERS 37 3.4 TREND AND FLUCTUATION 40 3.5 THE
TIME-SCALE ALGORITHM OF MALLAT AND THE TIME-FREQUENCY ALGORITHM OF
GALAND 40 3.6 TRENDS AND FLUCTUATIONS WITH ORTHONORMAL WAVELET BASES 42
VI CONTENTS 3.7 CONVERGENCE TO WAVELETS 43 3.8 THE WAVELETS OF
DAUBECHIES 46 3.9 CONCLUSIONS 46 CHAPTER 4. PYRAMID ALGORITHMS FOR
NUMERICAL IMAGE PROCESSING 49 4.1 INTRODUCTION 49 4.2 THE PYRAMID
ALGORITHMS OF BURT AND ADELSON 50 4.3 EXAMPLES OF PYRAMID ALGORITHMS 54
4.4 PYRAMID ALGORITHMS AND IMAGE COMPRESSION 55 4.5 PYRAMID ALGORITHMS
AND MULTIRESOLUTION ANALYSIS 57 4.6 THE ORTHOGONAL PYRAMIDS AND WAVELETS
58 4.7 BIORTHOGONAL WAVELETS 63 CHAPTER 5. TIME-FREQUENCY ANALYSIS FOR
SIGNAL PROCESSING 67 5.1 INTRODUCTION 67 5.2 THE COLLECTIONS F2 OF
TIME-FREQUENCY ATOMS 69 5.3 MALLAT S MATCHING PURSUIT ALGORITHM 71 5.4
BEST-BASIS SEARCH 72 5.5 THE WIGNER-VILLE TRANSFORM 72 5.6 PROPERTIES OF
THE WIGNER-VILLE TRANSFORM 74 5.7 THE WIGNER-VILLE TRANSFORM AND
PSEUDODIFFERENTIAL CALCULUS 76 5.8 RETURN TO THE DEFINITION OF
TIME-FREQUENCY ATOMS 79 5.9 THE WIGNER-VILLE TRANSFORM AND INSTANTANEOUS
FREQUENCY 79 5.10 THE WIGNER-VILLE TRANSFORM OF ASYMPTOTIC SIGNALS 81
5.11 INSTANTANEOUS FREQUENCY AND THE MATCHING PURSUIT ALGORITHM . . . .
83 5.12 MATCHING PURSUIT AND THE WIGNER-VILLE TRANSFORM 84 5.13 SEVERAL
SPECTRAL LINES 85 5.14 CONCLUSIONS 86 5.15 HISTORICAL REMARKS 86 CHAPTER
6. TIME-FREQUENCY ALGORITHMS USING MALVAR*WILSON WAVELETS 89 6.1
INTRODUCTION 89 6.2 MALVAR-WILSON WAVELETS: A HISTORICAL PERSPECTIVE 90
6.3 WINDOWS WITH VARIABLE LENGTHS 92 6.4 MALVAR-WILSON WAVELETS AND
TIME-SCALE WAVELETS 94 6.5 ADAPTIVE SEGMENTATION AND THE SPLIT-AND-MERGE
ALGORITHM 95 6.6 THE ENTROPY OF A VECTOR WITH RESPECT TO AN ORTHONORMAL
BASIS . . . . 96 6.7 THE ALGORITHM FOR FINDING THE OPTIMAL MALVAR-WILSON
BASIS 97 6.8 AN EXAMPLE WHERE THIS ALGORITHM WORKS 99 6.9 THE DISCRETE
CASE 99 6.10 MODULATED MALVAR-WILSON BASES 100 6.11 EXAMPLES 102 6.12
CONCLUSIONS 104 CHAPTER 7. TIME-FREQUENCY ANALYSIS AND WAVELET PACKETS
105 7.1 HEURISTIC CONSIDERATIONS 105 7.2 THE DEFINITION OF BASIC WAVELET
PACKETS 108 7.3 GENERAL WAVELET PACKETS ILL 7.4 SPLITTING ALGORITHMS 112
CONTENTS VII 7.5 CONCLUSIONS 114 CHAPTER 8. COMPUTER VISION AND HUMAN
VISION 117 8.1 MARR S PROGRAM 117 8.2 THE THEORY OF ZERO-CROSSINGS 120
8.3 A COUNTEREXAMPLE TO MARR S CONJECTURE 121 8.4 MALLAT S CONJECTURE
122 8.5 THE TWO-DIMENSIONAL VERSION OF MALLAT S ALGORITHM 124 8.6
CONCLUSIONS 125 CHAPTER 9. WAVELETS AND TURBULENCE 127 9.1 INTRODUCTION
127 9.2 THE STATISTICAL THEORY OF TURBULENCE AND FOURIER ANALYSIS 128
9.3 MULTIFRACTAL PROBABILITY MEASURES AND TURBULENT FLOWS 130 9.4
MULTIFRACTAL MODELING OF THE VELOCITY FIELD 131 9.5 COHERENT STRUCTURES
137 9.6 COUDER S EXPERIMENTS 139 9.7 MARIE FARGE S NUMERICAL EXPERIMENTS
140 9.8 MODELING AND DETECTING CHIRPS IN TURBULENT FLOWS 141 9.9
WAVELETS, PARAPRODUCTS, AND NAVIER-STOKES EQUATIONS 145 9.10 HAUSDORFF
MEASURE AND DIMENSION 147 CHAPTER 10. WAVELETS AND MULTIFRACTAL
FUNCTIONS 149 10.1 INTRODUCTION 149 10.2 THE WEIERSTRASS FUNCTION 150
10.3 REGULAR POINTS IN AN IRREGULAR BACKGROUND 152 10.4 THE RIEMANN
FUNCTION 157 10.4.1 HOLDER REGULARITY AT IRRATIONALS 158 10.4.2
RIEMANN S FUNCTION NEAR X 0 = 1 163 10.5 CONCLUSIONS AND COMMENTS 164
CHAPTER 11. DATA COMPRESSION AND RESTORATION OF NOISY IMAGES 167 11.1
INTRODUCTION 167 11.2 NONLINEAR APPROXIMATION AND SPARSE WAVELET
EXPANSIONS 168 11.3 DENOISING 177 11.4 MODELING IMAGES 181 11.5
RIDGELETS 184 11.6 CONCLUSIONS 185 CHAPTER 12. WAVELETS AND ASTRONOMY
187 12.1 THE HUBBLE SPACE TELESCOPE AND DECONVOLVING ITS IMAGES 187
12.1.1 THE MODEL 187 12.1.2 DISCOVERING AND FIXING THE PROBLEM 188
12.1.3 IDEA 189 12.2 DATA COMPRESSION 194 12.2.1 HLCOMPRESS 194 12.2.2
SMOOTH RESTORATION 196 12.2.3 COMMENTS 197 12.3 THE HIERARCHICAL
ORGANIZATION OF THE UNIVERSE 197 12.3.1 A FRACTAL UNIVERSE 200 VIII
CONTENTS 12.4 CONCLUSIONS 201 APPENDIX A. FILTER FUNDAMENTALS 203 A.I
THE 1 2 (Z) THEORY AND DEFINITIONS 203 A.2 THE GENERAL TWO-CHANNEL
FILTER BANK 205 APPENDIX B. WAVELET TRANSFORMS 209 B.I THE L 2 THEORY
209 B.2 INVERSION FORMULAS 210 B.2.1 L 2 INVERSION 211 B.2.2 INVERSION
WITH THE LUSIN WAVELET 213 B.3 GENERALIZATIONS 215 APPENDIX C. A
COUNTEREXAMPLE 219 C.I INTRODUCTION 219 C.2 THE FUNCTION 6 220 C.3
REPRESENTATIONS OF /O * 8 P AND ITS DERIVATIVES 221 C.4 HUNTING THE
ZEROS OF (/ 0 * 0 P ) 223 C.5 THE FUNCTIONS R, R*6 P , (R*6 P ) , AND
(R*0 P ) 225 C.6 (R * 6 P ) AND (R * B P ) VANISH AT THE ZEROS OF (/
0 * 9 P ) 225 C.7 THE BEHAVIOR OF (R* 0 P ) /{F 0 * 9 P ) 226 C.8
REMARKS 227 C.9 A CASE OF PERFECT RECONSTRUCTION 229 APPENDIX D. HOLDER
SPACES AND BESOV SPACES 233 D.I HOLDER SPACES 233 D.2 BESOV SPACES 234
D.3 EXAMPLES 235 BIBLIOGRAPHY 237 AUTHOR INDEX 249 SUBJECT INDEX 253
|
| any_adam_object | 1 |
| author | Jaffard, Stéphane Meyer, Yves Ryan, Robert D. |
| author_facet | Jaffard, Stéphane Meyer, Yves Ryan, Robert D. |
| author_role | aut aut aut |
| author_sort | Jaffard, Stéphane |
| author_variant | s j sj y m ym r d r rd rdr |
| building | Verbundindex |
| bvnumber | BV013966127 |
| callnumber-first | Q - Science |
| callnumber-label | QA403 |
| callnumber-raw | QA403.3 |
| callnumber-search | QA403.3 |
| callnumber-sort | QA 3403.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 450 |
| classification_tum | MAT 428f |
| ctrlnum | (OCoLC)45270234 (DE-599)BVBBV013966127 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Rev. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01619nam a2200445 c 4500</leader><controlfield tag="001">BV013966127</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20111011 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">011019s2001 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0898714486</subfield><subfield code="9">0-89871-448-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)45270234</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013966127</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA403.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.2433</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 428f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42C40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jaffard, Stéphane</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Wavelets</subfield><subfield code="b">tools for science & technology</subfield><subfield code="c">Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Rev. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia</subfield><subfield code="b">Soc. for Industrial and Applied Mathematics</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 256 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ondelettes</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wavelets</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Meyer, Yves</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ryan, Robert D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="780" ind1="0" ind2="0"><subfield code="i">1. Auflage</subfield><subfield code="a">Meyer, Yves</subfield><subfield code="t">Wavelets</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009559015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009559015</subfield></datafield></record></collection> |
| id | DE-604.BV013966127 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:55:15Z |
| institution | BVB |
| isbn | 0898714486 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009559015 |
| oclc_num | 45270234 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-91G DE-BY-TUM DE-634 DE-11 DE-83 DE-739 |
| owner_facet | DE-703 DE-29T DE-91G DE-BY-TUM DE-634 DE-11 DE-83 DE-739 |
| physical | XIII, 256 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| spelling | Jaffard, Stéphane Verfasser aut Wavelets tools for science & technology Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan Rev. ed. Philadelphia Soc. for Industrial and Applied Mathematics 2001 XIII, 256 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ondelettes Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 Meyer, Yves Verfasser aut Ryan, Robert D. Verfasser aut 1. Auflage Meyer, Yves Wavelets GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009559015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jaffard, Stéphane Meyer, Yves Ryan, Robert D. Wavelets tools for science & technology Ondelettes Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | Wavelets tools for science & technology |
| title_auth | Wavelets tools for science & technology |
| title_exact_search | Wavelets tools for science & technology |
| title_full | Wavelets tools for science & technology Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan |
| title_fullStr | Wavelets tools for science & technology Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan |
| title_full_unstemmed | Wavelets tools for science & technology Stéphane Jaffard ; Yves Meyer ; Robert D. Ryan |
| title_old | Meyer, Yves Wavelets |
| title_short | Wavelets |
| title_sort | wavelets tools for science technology |
| title_sub | tools for science & technology |
| topic | Ondelettes Wavelets gtt Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Ondelettes Wavelets Wavelets (Mathematics) Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009559015&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jaffardstephane waveletstoolsforsciencetechnology AT meyeryves waveletstoolsforsciencetechnology AT ryanrobertd waveletstoolsforsciencetechnology |