Two-dimensional wavelets and their relatives:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Cambridge, UK
Cambridge Univ. Press
2004
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 458 S. Ill., graph. Darst. |
| ISBN: | 9780521624060 9780521065191 |
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MARC
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Record in the Search Index
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| adam_text |
TWO-DIMENSIONAL WAVELETS AND THEIR RELATIVES JEAN-PIERRE ANTOINE
INSTITUT DE PHYSIQUE THEORIQUE, UNIVERSITE CATHOLIQUE DE LOUVAIN ROMAIN
MURENZI CTSPS, CLARK ATLANTA UNIVERSITY, MINISTRY OF EDUCATION, SCIENCE,
TECHNOLOGY AND SCIENTIFIC RESEARCH, RWANDA PIERRE VANDERGHEYNST SIGNAL
PROCESSING LABORATORY, SWISS FEDERAL INSTITUTE OF TECHNOLOGY SYED
TWAREQUE ALI DEPARTMENT OF MATHEMATICS AND STATISTICS, CONCORDIA
UNIVERSITY CAMBRIDGE UNIVERSITY PRESS K CONTENTS PWLOGUE PAGE IX
WARM-UP: THE 1-D CONTINUOUS WAVELET TRANSFORM 1.1 WHAT IS WAVELET
ANALYSIS? 1 1.2 THE CONTINUOUS WAVELET TRANSFORM 5 1.3 DISCRETIZATION OF
THE CWT, FRAMES 10 1.4 RIDGES AND SKELETON 14 1.5 THE DISCRETE WT:
ORTHONORMAL BASES OF WAVELETS 19 1.6 GENERALIZATIONS 24 1.7 APPLICATIONS
OF THE 1-D CWT 29 THE 2-D CONTINUOUS WAVELET TRANSFORM 32 2.1 DERIVATION
32 2.2 BASIC PROPERTIES OF THE 2-D CWT 36 2.3 IMPLEMENTATION AND
INTERPRETATION OF THE 2-D CWT 41 2.4 DISCRETIZATION, FRAMES 54 2.5
COMPARISON WITH THE 2-D DISCRETE WAVELET TRANSFORM 68 2.6 BRIDGING THE
GAP: CONTINUOUS WAVELET PACKETS AND FAST ALGORITHMS 78 2.7 STEERABLE
ALTERS 93 2.8 REDUNDANCY: PLUS AND MINUS 96 SOME 2-D WAVELETS AND THEIR
PERFORMANCE 97 3.1 WHICH WAVELETS? 97 3.2 ISOTROPIE WAVELETS 99 V VI
CONTENTS 3.3 DIRECTIONAL WAVELETS 103 3.4 WAVELET CALIBRATION:
EVALUATING THE PERFORMANCES OF THE CWT 118 T APPLICATIONS OF THE 2-D
CWT. I: IMAGE PROCESSING 125 4.1 CONTOUR DETECTION, CHARACTER
RECOGNITION 125 4.2 OBJECT DETECTION AND RECOGNITION IN NOISY IMAGES 134
4.3 IMAGE RETRIEVAL 145 4.4 MEDICAL IMAGING 150 4.5 DETECTION OF
SYMMETRIES IN PATTERNS 150 4.6 IMAGE DENOISING 162 4.7 NONLINEAR
EXTENSIONS OF THE CWT 163 APPLICATIONS OF THE 2-D CWT. II: PHYSICAL
APPLICATIONS 175 5.1 ASTRONOMY AND ASTROPHYSICS 175 5.2 GEOPHYSICS 192
5.3 APPLICATIONS IN FLUID DYNAMICS 197 5.4 FRACTALS AND THE
THERMODYNAMICAL FORMALISM 205 5.5 TEXTURE ANALYSIS 210 5.6 APPLICATIONS
OF THE DWT 212 WILLI IIIIIIIIIIHHIMBHUWHFFLH 6 MATRIX GEOMETRY OF
WAVELET ANALYSIS. I 214 6.1 GROUP THEORY AND MATRIX GEOMETRY OF WAVELETS
214 6.2 PHASE SPACE ANALYSIS 230 6.3 THE CASE OF GABOR WAVELETS 238
MATRIX GEOMETRY OF WAVELET ANALYSIS. II 247 7.1 A GROUP-ADAPTED WAVELET
ANALYSIS 247 7.2 THE 2-D CONTINUOUS WAVELET TRANSFORM 259 7.3 2-D
WAVELETS ON PHASE SPACE 268 7.4 THE AFFINE POINCARE GROUP 276 VII
CONTENTS AEMKAENYSAE 8 MINIMAL UNCERTAINTY AND WIGNER TRANSFORMS 281 8.1
PHASE SPACE DISTRIBUTIONS AND MINIMAL UNCERTAINTY GABORETTES 281 8.2
MINIMAL UNCERTAINTY WAVELETS 284 8.3 WIGNER FUNCTIONS 287 8.4 WIGNER
FUNCTIONS FOR THE WAVELET GROUPS 291 HIGHER-DIMENSIONAL WAVELETS 300 9.1
THREE-DIMENSIONAL WAVELETS 300 9.2 WAVELETS ON THE 2-SPHERE AND OTHER
MANIFOLDS 308 9.3 WAVELET APPROXIMATIONS ON THE SPHERE 332 10
SPATIO-TEMPORAL WAVELETS AND MOTION ESTIMATION 343 10.1 INTRODUCTION 343
10.2 SPATIO-TEMPORAL SIGNALS AND THEIR TRANSFORMATIONS 344 10.3 THE
TRANSFORMATION GROUP AND ITS REPRESENTATIONS 348 10.4 THE
SPATIO-TEMPORAL WAVELET TRANSFORM 352 10.5 A MOTION ESTIMATION (ME)
ALGORITHM 356 11 BEYOND WAVELETS 373 11.1 NEW TRANSFORMS: RIDGELETS,
CURVELETS, ETC. 374 11.2 RATE-DISTORTION ANALYSIS OF ANISOTROPIC
APPROXIMATIONS 383 11.3 SPARSE APPROXIMATIONS IN REDUNDANT DICTIONARIES
389 11.4 ALGEBRAIC WAVELETS 398 EPILOGUE 413 APPENDIX SOME ELEMENTS OF
GROUP THEORY 415 REFERENCES 431 INDEX 455 / K |
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| illustrated | Illustrated |
| indexdate | 2024-07-20T07:39:26Z |
| institution | BVB |
| isbn | 9780521624060 9780521065191 |
| language | English |
| lccn | 2003061134 |
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| physical | XVIII, 458 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge Univ. Press |
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| spelling | Two-dimensional wavelets and their relatives Jean-Pierre Antoine ... 1. publ. Cambridge, UK Cambridge Univ. Press 2004 XVIII, 458 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier lWavelets (Mathematics) Dimension 2 (DE-588)4321721-7 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s Dimension 2 (DE-588)4321721-7 s DE-604 Antoine, Jean-Pierre 1940- Sonstige (DE-588)121807444 oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013147698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Two-dimensional wavelets and their relatives lWavelets (Mathematics) Dimension 2 (DE-588)4321721-7 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4321721-7 (DE-588)4215427-3 |
| title | Two-dimensional wavelets and their relatives |
| title_auth | Two-dimensional wavelets and their relatives |
| title_exact_search | Two-dimensional wavelets and their relatives |
| title_full | Two-dimensional wavelets and their relatives Jean-Pierre Antoine ... |
| title_fullStr | Two-dimensional wavelets and their relatives Jean-Pierre Antoine ... |
| title_full_unstemmed | Two-dimensional wavelets and their relatives Jean-Pierre Antoine ... |
| title_short | Two-dimensional wavelets and their relatives |
| title_sort | two dimensional wavelets and their relatives |
| topic | lWavelets (Mathematics) Dimension 2 (DE-588)4321721-7 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | lWavelets (Mathematics) Dimension 2 Wavelet |
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