Wavelet theory: an elementary approach with applications
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, N.J.
Wiley
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XIX, 480 S. Ill., graph. Darst. |
| ISBN: | 9780470388402 |
Staff View
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| 264 | 1 | |a Hoboken, N.J. |b Wiley |c 2009 | |
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Record in the Search Index
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| adam_text | WAVELET THEORY AN ELEMENTARY APPROACH WITH APPLICATIONS DAVID K. RUCH
METROPOLITAN STATE COLLEGE OF DENVER PATRICK J. VAN FLEET UNIVERSITY OF
ST. THOMAS WILEY A JOHN WILEY & SONS, INC., PUBLICATION CONTENTS
PREFACE XI ACKNOWLEDGMENTS XIX 1 THE COMPLEX PLANE AND THE SPACE L 2 (R)
1 1.1 COMPLEX NUMBERS AND BASIC OPERATIONS 1 PROBLEMS 5 1.2 THE SPACE L
2 (R) 7 PROBLEMS 16 1.3 INNER PRODUCTS 18 PROBLEMS 25 1.4 BASES AND
PROJECTIONS 26 PROBLEMS 28 2 FOURIER SERIES AND FOURIER TRANSFORMATIONS
31 2.1 EULER S FORMULA AND THE COMPLEX EXPONENTIAL FUNCTION 32 PROBLEMS
36 2.2 FOURIER SERIES 37 VII VIII CONTENTS PROBLEMS 49 2.3 THE FOURIER
TRANSFORM 53 PROBLEMS 66 2.4 CONVOLUTION AND SS-SPLINES 72 PROBLEMS 82 3
HAAR SPACES 85 3.1 THE HAAR SPACE VO 86 PROBLEMS 93 3.2 THE GENERAL HAAR
SPACE VJ 93 PROBLEMS 107 3.3 THE HAAR WAVELET SPACE W 0 108 PROBLEMS 119
3.4 THE GENERAL HAAR WAVELET SPACE W 3 120 PROBLEMS 133 3.5
DECOMPOSITION AND RECONSTRUCTION 134 PROBLEMS 140 3.6 SUMMARY 141 4 THE
DISCRETE HAAR WAVELET TRANSFORM AND APPLICATIONS 145 4.1 THE
ONE-DIMENSIONAL TRANSFORM 146 PROBLEMS 159 4.2 THE TWO-DIMENSIONAL
TRANSFORM 163 PROBLEMS 171 4.3 EDGE DETECTION AND NAIVE IMAGE
COMPRESSION 172 5 MULTIRESOLUTION ANALYSIS 179 5.1 MULTIRESOLUTION
ANALYSIS 180 PROBLEMS 196 5.2 THE VIEW FROM THE TRANSFORM DOMAIN 200
PROBLEMS 212 5.3 EXAMPLES OF MULTIRESOLUTION ANALYSES 216 PROBLEMS 224
5.4 SUMMARY 225 6 DAUBECHIES SCALING FUNCTIONS AND WAVELETS 233 6.1
CONSTRUCTING THE DAUBECHIES SCALING FUNCTIONS 234 CONTENTS IX PROBLEMS
246 6.2 THE CASCADE ALGORITHM 251 PROBLEMS 265 6.3 ORTHOGONAL
TRANSLATES, CODING, AND PROJECTIONS 268 PROBLEMS 276 7 THE DISCRETE
DAUBECHIES TRANSFORMATION AND APPLICATIONS 277 7.1 THE DISCRETE
DAUBECHIES WAVELET TRANSFORM 278 PROBLEMS 290 7.2 PROJECTIONS AND SIGNAL
AND IMAGE COMPRESSION 293 PROBLEMS 310 7.3 NAIVE IMAGE SEGMENTATION 314
PROBLEMS 322 8 BIORTHOGONAL SCALING FUNCTIONS AND WAVELETS 325 8.1 A
BIORTHOGONAL EXAMPLE AND DUALITY 326 PROBLEMS 333 8.2 BIORTHOGONALITY
CONDITIONS FOR SYMBOLS AND WAVELET SPACES 334 PROBLEMS 350 8.3
BIORTHOGONAL SPLINE FILTER PAIRS AND THE CDF97 FILTER PAIR 353 PROBLEMS
368 8.4 DECOMPOSITION AND RECONSTRUCTION 370 PROBLEMS 375 8.5 THE
DISCRETE BIORTHOGONAL WAVELET TRANSFORM 375 PROBLEMS 388 8.6 RIESZ BASIS
THEORY 390 PROBLEMS 397 9 WAVELET PACKETS 399 9.1 CONSTRUCTING WAVELET
PACKET FUNCTIONS 400 PROBLEMS 413 9.2 WAVELET PACKET SPACES 414 PROBLEMS
424 9.3 THE DISCRETE PACKET TRANSFORM AND BEST BASIS ALGORITHM 424
PROBLEMS 439 9.4 THE FBI FINGERPRINT COMPRESSION STANDARD 440 APPENDIX
A: HUFFMAN CODING 455 X CONTENTS PROBLEMS 462 REFERENCES 465 TOPIC INDEX
469 AUTHOR INDEX 479
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:24Z |
| institution | BVB |
| isbn | 9780470388402 |
| language | English |
| lccn | 2009017249 |
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| physical | XIX, 480 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| publisher | Wiley |
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| spelling | Ruch, David K. Verfasser aut Wavelet theory an elementary approach with applications David K. Ruch ; Patrick J. Van Fleet Hoboken, N.J. Wiley 2009 XIX, 480 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Wavelet-Transformation (DE-588)4814181-1 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 Wavelet-Transformation (DE-588)4814181-1 s Van Fleet, Patrick J. 1962- Verfasser (DE-588)135703670 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018640325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ruch, David K. Van Fleet, Patrick J. 1962- Wavelet theory an elementary approach with applications Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Wavelet-Transformation (DE-588)4814181-1 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4814181-1 (DE-588)4215427-3 |
| title | Wavelet theory an elementary approach with applications |
| title_auth | Wavelet theory an elementary approach with applications |
| title_exact_search | Wavelet theory an elementary approach with applications |
| title_full | Wavelet theory an elementary approach with applications David K. Ruch ; Patrick J. Van Fleet |
| title_fullStr | Wavelet theory an elementary approach with applications David K. Ruch ; Patrick J. Van Fleet |
| title_full_unstemmed | Wavelet theory an elementary approach with applications David K. Ruch ; Patrick J. Van Fleet |
| title_short | Wavelet theory |
| title_sort | wavelet theory an elementary approach with applications |
| title_sub | an elementary approach with applications |
| topic | Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Wavelet-Transformation (DE-588)4814181-1 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Wavelet-Transformation Wavelet |
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