Discovering wavelets:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Wiley
1999
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 125 S. graph. Darst. |
| ISBN: | 0471331937 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804127815421919232 |
|---|---|
| adam_text | IMAGE 1
DISCOVERING WAVELETS
EDWARD ABOUFADEL AND STEVEN SCHLICKER
A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY & SONS, INC. A
NEW YORK * CHICHESTER * WEINHEIM * BRISBANE * SINGAPORE * TORONTO
IMAGE 2
CONTENTS
PREFACE V
ACKNOWLEDGMENTS IX
1 WAVELETS, FINGERPRINTS, AND IMAGE PROCESSING 1
1.1 PROBLEMS OF THE DIGITAL AGE 1
1.2 DIGITIZING FINGERPRINT IMAGES 2
1.3 SIGNALS 4
1.4 THE HAAR WAVELET FAMILY 5
1.5 PROCESSING SIGNALS 9
1.6 THRESHOLDING AND COMPRESSION OF DATA 12
1.7 THE FBI WAVELET/SCALAR QUANTIZATION STANDARD 18
2 WAVELETS AND ORTHOGONAL DECOMPOSITIONS 23
2.1 A LEGO WORLD 23
2.2 THE WAVELET SONS 26
2.3 SIBLING RIVALRY: TWO BASES FOR V N 28
2.4 AVERAGING AND DIFFERENCING 32
2.5 PROJECTING FUNCTIONS ONTO WAVELET SPACES 35
2.6 FUNCTION PROCESSING AND IMAGE BOXES 37
2.7 A SUMMARY OF TWO APPROACHES TO WAVELETS 41
IMAGE 3
XII CONTENTS
V
3 MULTIRESOLUTIONS, CASCADES, AND FILTERS 43
3.1 EXTENDING THE HAAR WAVELETS TO THE REAL LINE 43
3.2 OTHER ELEMENTARY WAVELET FAMUEIES 45
3.3 MULTIRESOLUTION ANALYSIS 49
3.4 THE HAAR SCALING FUNCTION REDISCOVERED 55
3.5 RELATIONSHIPS BETWEEN THE MOTHER AND FATHER WAVELETS 62
3.6 DAUBECHIES WAVELETS 66
3.7 HIGH AND LOW PASS FILTERS 70
3.8 MORE PROBLEMS OF THE DIGITAL AGE: COMPACT DISCS 77
4 SAMPLE PROJECTS 83
4-1 INTRODUCTION: OVERVIEW OF PROJECTS 83
4-2 LINEAR ALGEBRA PROJECT: IMAGE PROCESSING AND COMPRESSION 84
4-3 A WAVELET-BASED SEARCH ENGINE 86
44 B-SPLINES 88
4-5 PROCESSING WITH THE 4 WAVELETS 89
4-6 DAUBECHIES WAVELETS WITH SIX REFINEMENT COEFFICIENTS 91
APPENDIX A VECTOR SPACES AND INNER PRODUCT SPACES 93
A.L VECTOR SPACES 93
A.2 SUBSPACES 97
A.3 INNER PRODUCT SPACES 98
A.4 THE ORTHOGONAL DECOMPOSITION THEOREM 101
APPENDIX B MAPLE ROUTINES 107
B.L MATRIX GENERATOR 107
B.2 PROCESSING SAMPLED DATA 108
B.3 PROJECTIONS ONTO WAVELET SPACES 109
B.4 THE CASCADE ALGORITHM 110
B.5 PROCESSING AN IMAGE FROM PIXEL IMAGES 111
APPENDIX C ANSWERS TO SELECTED PROBLEMS 113
APPENDIX D GLOSSARY OF SYMBOLS 117
REFERENCES 119
INDEX 123
|
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| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.243 3 |
| dewey-search | 515.243 3 |
| dewey-sort | 3515.243 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Matériel didactique |
| genre_facet | Matériel didactique |
| id | DE-604.BV013116130 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:39:21Z |
| institution | BVB |
| isbn | 0471331937 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008936274 |
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| physical | XII, 125 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Wiley |
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| spelling | Aboufadel, Edward Verfasser aut Discovering wavelets Edward Aboufadel and Steven Schlicker New York Wiley 1999 XII, 125 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ondelettes ram Wavelet (DE-588)4215427-3 gnd rswk-swf Matériel didactique Wavelet (DE-588)4215427-3 s DE-604 Schlicker, Steven Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008936274&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aboufadel, Edward Schlicker, Steven Discovering wavelets Ondelettes ram Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | Discovering wavelets |
| title_auth | Discovering wavelets |
| title_exact_search | Discovering wavelets |
| title_full | Discovering wavelets Edward Aboufadel and Steven Schlicker |
| title_fullStr | Discovering wavelets Edward Aboufadel and Steven Schlicker |
| title_full_unstemmed | Discovering wavelets Edward Aboufadel and Steven Schlicker |
| title_short | Discovering wavelets |
| title_sort | discovering wavelets |
| topic | Ondelettes ram Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Ondelettes Wavelet Matériel didactique |
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