Discrete wavelet transformations: an elementary approach with applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley
2008
|
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXIV, 535 S. Ill., graph. Darst. |
| ISBN: | 9780470183113 |
Internformat
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| 245 | 1 | 0 | |a Discrete wavelet transformations |b an elementary approach with applications |c Patrick J. Van Fleet |
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| 300 | |a XXIV, 535 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Transformations (Mathematics) | |
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Datensatz im Suchindex
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DISCRETE WAVELET TRANSFORMATIONS AN ELEMENTARY APPROACH WITH
APPLICATIONS PATRICK J. VAN FLEET UNIVERSITY OF ST. THOMAS 3 I C E N T E
N N I A L B I C E N T E N N I A L WILEY- INTERSCIENCE A JOHN WILEY &
SONS, INC., PUBLICATION CONTENTS PREFACE XIII ACKNOWLEDGMENTS XXIII 1
INTRODUCTION: WHY WAVELETS? 1 2 VECTORS AND MATRICES 15 2.1 VECTORS,
INNER PRODUCTS, AND NORMS 16 PROBLEMS 20 COMPUTER LAB 22 2.2 BASIC
MATRIX THEORY 22 PROBLEMS 36 COMPUTER LAB 38 2.3 BLOCK MATRIX ARITHMETIC
38 PROBLEMS 45 COMPUTER LAB 48 VII VIII CONTENTS 3 AN INTRODUCTION TO
DIGITAL IMAGES 49 3.1 THE BASICS OF GRAYSCALE DIGITAL IMAGES 50 PROBLEMS
66 COMPUTER LABS 70 3.2 COLOR IMAGES AND COLOR SPACES 70 PROBLEMS 75
COMPUTER LABS 78 3.3 QUALITATIVE AND QUANTITATIVE MEASURES 78 PROBLEMS
84 COMPUTER LABS 88 3.4 HUFFMAN ENCODING 88 PROBLEMS 94 COMPUTER LABS 95
4 COMPLEX NUMBERS AND FOURIER SERIES 97 4.1 THE COMPLEX PLANE AND
ARITHMETIC 98 PROBLEMS 103 COMPUTER LAB 104 4.2 COMPLEX EXPONENTIAL
FUNCTIONS 104 PROBLEMS 109 4.3 FOURIER SERIES 110 PROBLEMS 121 COMPUTER
LAB 126 5 CONVOLUTION AND FILTERS 127 5.1 CONVOLUTION 128 PROBLEMS 135
COMPUTER LAB 137 5.2 FILTERS 138 PROBLEMS 147 COMPUTER LAB 150 5.3
CONVOLUTION AS A MATRIX PRODUCT 150 PROBLEMS . 155 6 THE HAAR WAVELET
TRANSFORMATION 157 6.1 , CONSTRUCTING THE HAAR WAVELET TRANSFORMATION
158 CONTENTS IX PROBLEMS 171 COMPUTER LABS 173 6.2 ITERATING THE PROCESS
173 PROBLEMS 182 COMPUTER LABS 183 6.3 THE TWO-DIMENSIONAL HAAR WAVELET
TRANSFORMATION 183 PROBLEMS 198 COMPUTER LABS 199 6.4 APPLICATIONS:
IMAGE COMPRESSION AND EDGE DETECTION 199 PROBLEMS 216 COMPUTER LABS 221
7 DAUBECHIES WAVELET TRANSFORMATIONS 223 7.1 DAUBECHIES FILTERS OF
LENGTH 4 AND 6 224 PROBLEMS 243 COMPUTER LABS 252 7.2 DAUBECHIES FILTERS
OF EVEN LENGTH 253 PROBLEMS 263 COMPUTER LABS 265 7.3 ALGORITHMS FOR
DAUBECHIES WAVELET TRANSFORMATIONS 265 PROBLEMS 278 COMPUTER LABS 279 8
ORTHOGONALITY AND FOURIER SERIES 281 8.1 FOURIER SERIES AND LOWPASS
FILTERS 282 PROBLEMS 288 8.2 BUILDING G{U) FROM H(U) 288 PROBLEMS 297
8.3 COIFIET FILTERS 298 PROBLEMS . 312 COMPUTER LABS 316 9 WAVELET
SHRINKAGE: AN APPLICATION TO DENOISING 317 9.1 AN OVERVIEW OF WAVELET
SHRINKAGE 318 PROBLEMS 323 COMPUTER LABS 324 X CONTENTS 9.2 VISUSHRINK
325 PROBLEMS 333 COMPUTER LABS 334 9.3 SURESHRINK 335 PROBLEMS 346
COMPUTER LABS 350 10 BIORTHOGONAL FILTERS 351 10.1 CONSTRUCTING
BIORTHOGONAL FILTERS 353 PROBLEMS 368 10.2 BIORTHOGONAL SPLINE FILTERS
371 PROBLEMS 391 COMPUTER LAB 393 10.3 THE COHEN-DAUBECHIES-FEAUVEAU 9/7
FILTER 394 PROBLEMS 403 COMPUTER LAB 406 11 COMPUTING BIORTHOGONAL
WAVELET TRANSFORMATIONS 407 11.1 COMPUTING THE BIORTHOGONAL WAVELET
TRANSFORMATION 408 PROBLEMS 416 COMPUTER LABS 416 11.2 COMPUTING THE
INVERSE BIORTHOGONAL WAVELET TRANSFORMATION 417 PROBLEMS 434 COMPUTER
LABS 434 11.3 SYMMETRY AND BOUNDARY EFFECTS 435 PROBLEMS 453 COMPUTER
LABS 457 12 THE JPEG2000 IMAGE COMPRESSION STANDARD 459 12.1
ANOVERVIEWOFJPEG 460 PROBLEMS 467 COMPUTER LAB 467 12.2 THE BASIC
JPEG2000 ALGORITHM * , 468 PROBLEMS 475 12.3 LIFTING AND LOSSLESS
COMPRESSION 476 PROBLEMS 484 CONTENTS XI 12.4 APPENDIX A.L A.2 A3 A.4
A.5 REFERENCES INDEX COMPUTER LAB EXAMPLES COMPUTER LAB . A: BASIC
STATISTICS DESCRIPTIVE STATISTICS PROBLEMS SAMPLE SPACES, PROBABILITY,
AND RANDOM VARIABLES PROBLEMS CONTINUOUS DISTRIBUTIONS PROBLEMS
EXPECTATION PROBLEMS TWO SPECIAL DISTRIBUTIONS PROBLEMS 486 486 492 493
493 495 496 499 499 505 506 511 512 515 519 525 |
| adam_txt |
DISCRETE WAVELET TRANSFORMATIONS AN ELEMENTARY APPROACH WITH
APPLICATIONS PATRICK J. VAN FLEET UNIVERSITY OF ST. THOMAS 3 I C E N T E
N N I A L B I C E N T E N N I A L WILEY- INTERSCIENCE A JOHN WILEY &
SONS, INC., PUBLICATION CONTENTS PREFACE XIII ACKNOWLEDGMENTS XXIII 1
INTRODUCTION: WHY WAVELETS? 1 2 VECTORS AND MATRICES 15 2.1 VECTORS,
INNER PRODUCTS, AND NORMS 16 PROBLEMS 20 COMPUTER LAB 22 2.2 BASIC
MATRIX THEORY 22 PROBLEMS 36 COMPUTER LAB 38 2.3 BLOCK MATRIX ARITHMETIC
38 PROBLEMS 45 COMPUTER LAB 48 VII VIII CONTENTS 3 AN INTRODUCTION TO
DIGITAL IMAGES 49 3.1 THE BASICS OF GRAYSCALE DIGITAL IMAGES 50 PROBLEMS
66 COMPUTER LABS 70 3.2 COLOR IMAGES AND COLOR SPACES 70 PROBLEMS 75
COMPUTER LABS 78 3.3 QUALITATIVE AND QUANTITATIVE MEASURES 78 PROBLEMS
84 COMPUTER LABS 88 3.4 HUFFMAN ENCODING 88 PROBLEMS 94 COMPUTER LABS 95
4 COMPLEX NUMBERS AND FOURIER SERIES 97 4.1 THE COMPLEX PLANE AND
ARITHMETIC 98 PROBLEMS 103 COMPUTER LAB 104 4.2 COMPLEX EXPONENTIAL
FUNCTIONS 104 PROBLEMS 109 4.3 FOURIER SERIES 110 PROBLEMS 121 COMPUTER
LAB 126 5 CONVOLUTION AND FILTERS 127 5.1 CONVOLUTION 128 PROBLEMS 135
COMPUTER LAB 137 5.2 FILTERS 138 PROBLEMS 147 COMPUTER LAB 150 5.3
CONVOLUTION AS A MATRIX PRODUCT 150 PROBLEMS . 155 6 THE HAAR WAVELET
TRANSFORMATION 157 6.1 , CONSTRUCTING THE HAAR WAVELET TRANSFORMATION
158 CONTENTS IX PROBLEMS 171 COMPUTER LABS 173 6.2 ITERATING THE PROCESS
173 PROBLEMS 182 COMPUTER LABS 183 6.3 THE TWO-DIMENSIONAL HAAR WAVELET
TRANSFORMATION 183 PROBLEMS 198 COMPUTER LABS 199 6.4 APPLICATIONS:
IMAGE COMPRESSION AND EDGE DETECTION 199 PROBLEMS 216 COMPUTER LABS 221
7 DAUBECHIES WAVELET TRANSFORMATIONS 223 7.1 DAUBECHIES FILTERS OF
LENGTH 4 AND 6 224 PROBLEMS 243 COMPUTER LABS 252 7.2 DAUBECHIES FILTERS
OF EVEN LENGTH 253 PROBLEMS 263 COMPUTER LABS 265 7.3 ALGORITHMS FOR
DAUBECHIES WAVELET TRANSFORMATIONS 265 PROBLEMS 278 COMPUTER LABS 279 8
ORTHOGONALITY AND FOURIER SERIES 281 8.1 FOURIER SERIES AND LOWPASS
FILTERS 282 PROBLEMS 288 8.2 BUILDING G{U) FROM H(U) 288 PROBLEMS 297
8.3 COIFIET FILTERS 298 PROBLEMS . 312 COMPUTER LABS 316 9 WAVELET
SHRINKAGE: AN APPLICATION TO DENOISING 317 9.1 AN OVERVIEW OF WAVELET
SHRINKAGE 318 PROBLEMS 323 COMPUTER LABS 324 X CONTENTS 9.2 VISUSHRINK
325 PROBLEMS 333 COMPUTER LABS 334 9.3 SURESHRINK 335 PROBLEMS 346
COMPUTER LABS 350 10 BIORTHOGONAL FILTERS 351 10.1 CONSTRUCTING
BIORTHOGONAL FILTERS 353 PROBLEMS 368 10.2 BIORTHOGONAL SPLINE FILTERS
371 PROBLEMS 391 COMPUTER LAB 393 10.3 THE COHEN-DAUBECHIES-FEAUVEAU 9/7
FILTER 394 PROBLEMS 403 COMPUTER LAB 406 11 COMPUTING BIORTHOGONAL
WAVELET TRANSFORMATIONS 407 11.1 COMPUTING THE BIORTHOGONAL WAVELET
TRANSFORMATION 408 PROBLEMS 416 COMPUTER LABS 416 11.2 COMPUTING THE
INVERSE BIORTHOGONAL WAVELET TRANSFORMATION 417 PROBLEMS 434 COMPUTER
LABS 434 11.3 SYMMETRY AND BOUNDARY EFFECTS 435 PROBLEMS 453 COMPUTER
LABS 457 12 THE JPEG2000 IMAGE COMPRESSION STANDARD 459 12.1
ANOVERVIEWOFJPEG 460 PROBLEMS 467 COMPUTER LAB 467 12.2 THE BASIC
JPEG2000 ALGORITHM * , 468 PROBLEMS 475 12.3 LIFTING AND LOSSLESS
COMPRESSION 476 PROBLEMS 484 CONTENTS XI 12.4 APPENDIX A.L A.2 A3 A.4
A.5 REFERENCES INDEX COMPUTER LAB EXAMPLES COMPUTER LAB . A: BASIC
STATISTICS DESCRIPTIVE STATISTICS PROBLEMS SAMPLE SPACES, PROBABILITY,
AND RANDOM VARIABLES PROBLEMS CONTINUOUS DISTRIBUTIONS PROBLEMS
EXPECTATION PROBLEMS TWO SPECIAL DISTRIBUTIONS PROBLEMS 486 486 492 493
493 495 496 499 499 505 506 511 512 515 519 525 |
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| spelling | Van Fleet, Patrick J. Verfasser aut Discrete wavelet transformations an elementary approach with applications Patrick J. Van Fleet Hoboken, NJ Wiley 2008 XXIV, 535 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s Transformation Mathematik (DE-588)4060637-5 s DE-604 http://www.loc.gov/catdir/enhancements/fy0741/2007027174-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016240429&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Van Fleet, Patrick J. Discrete wavelet transformations an elementary approach with applications Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Transformation Mathematik (DE-588)4060637-5 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4060637-5 (DE-588)4215427-3 |
| title | Discrete wavelet transformations an elementary approach with applications |
| title_auth | Discrete wavelet transformations an elementary approach with applications |
| title_exact_search | Discrete wavelet transformations an elementary approach with applications |
| title_exact_search_txtP | Discrete wavelet transformations an elementary approach with applications |
| title_full | Discrete wavelet transformations an elementary approach with applications Patrick J. Van Fleet |
| title_fullStr | Discrete wavelet transformations an elementary approach with applications Patrick J. Van Fleet |
| title_full_unstemmed | Discrete wavelet transformations an elementary approach with applications Patrick J. Van Fleet |
| title_short | Discrete wavelet transformations |
| title_sort | discrete wavelet transformations an elementary approach with applications |
| title_sub | an elementary approach with applications |
| topic | Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Transformation Mathematik (DE-588)4060637-5 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Mathematik Wavelets (Mathematics) Transformations (Mathematics) Digital images Mathematics Transformation Mathematik Wavelet |
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