Oscillating patterns in image processing and nonlinear evolution equations: the fifteenth Dean Jacqueline B. Lewis Memorial Lectures
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2001]
|
| Series: | University lecture series
Volume 22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 122 Seiten |
| ISBN: | 0821829203 9780821829202 |
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| 245 | 1 | 0 | |a Oscillating patterns in image processing and nonlinear evolution equations |b the fifteenth Dean Jacqueline B. Lewis Memorial Lectures |c Yves Meyer |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2001] | |
| 264 | 4 | |c © 2001 | |
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| 650 | 4 | |a Oscillations | |
| 650 | 4 | |a Traitement du signal - Mathématiques | |
| 650 | 4 | |a Équations d'évolution non linéaires | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Evolution equations, Nonlinear | |
| 650 | 4 | |a Image compression | |
| 650 | 4 | |a Oscillations | |
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Record in the Search Index
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| adam_text | Contents
Preface ix
Chapter 1. Still images compression 1
1.1. Introduction 1
1.2. A first glance at compression and denoising. The supernova SiV1987,4 1
1.3. Atomic decompositions and modeling 3
1.4. Wavelets and still image compression: some success stories 8
1.5. Sampling, quantization, thresholding and compression 9
1.6. A first visit to u + v models for still images 13
1.7. Best basis algorithms in signal processing 15
1.8. The old JPEG 17
1.9. Karhunen Loeve expansions 18
1.10. An example where the Karhunen Loeve approach is ineffective: the
ramp function 19
1.11. A second visit to u + v image models 22
1.12. The space BV of functions with bounded variation in the plane 23
1.13. The Osher Rudin model 27
1.14. The mathematical properties of the Osher Rudin model 30
1.15. Modeling textures 42
1.16. Wavelet shrinkage 45
1.17. Littlewood Paley analysis 50
1.18. A survey of wavelet analysis 57
1.19. Littlewood Paley analysis and wavelet analysis 65
1.20. Quantization issues: Fourier series vs. wavelet series 66
1.21. Fourier series vs. wavelet series: expansions of BV functions 67
Chapter 2. The role of oscillations in some nonlinear PDE s 71
2.1. Introduction 71
2.2. Improved Gagliardo Nirenberg inequalities 72
2.3. Improved Poincare estimates 79
2.4. Wavelet coefficients of integrable functions 80
2.5. A first model case: the nonlinear heat equation 81
2.6. The Navier Stokes equations 84
2.7. Modeling coherent structures 88
2.8. The nonlinear Schrodinger equation 91
Chapter 3. Frequency modulated signals, chirps and the Virgo program 93
3.1. Introduction 93
3.2. Holder classes with negative exponents 96
3.3. Infinitely oscillating functions 101
vii
viii CONTENTS
3.4. A first definition of n dimensional chirps 103
3.5. A second definition of chirps 104
3.6. Jaffard s criticism 105
3.7. Chirps and two microlocal spaces 107
3.8. Wavelets and chirps 109
3.9. A function proposed by Riemann contains infinitely many chirps 111
3.10. A generalized Riemann function 114
Conclusion 117
Bibliography 119
|
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| spelling | Meyer, Yves 1939- Verfasser (DE-588)1033203629 aut Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures Yves Meyer Providence, Rhode Island American Mathematical Society [2001] © 2001 x, 122 Seiten txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 22 Compression d'images Oscillations Traitement du signal - Mathématiques Équations d'évolution non linéaires Mathematik Evolution equations, Nonlinear Image compression Signal processing Mathematics Schwingung (DE-588)4053999-4 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Bildverarbeitung (DE-588)4006684-8 s Signalverarbeitung (DE-588)4054947-1 s Schwingung (DE-588)4053999-4 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-2169-4 University lecture series Volume 22 (DE-604)BV004153846 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543779&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Meyer, Yves 1939- Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures University lecture series Compression d'images Oscillations Traitement du signal - Mathématiques Équations d'évolution non linéaires Mathematik Evolution equations, Nonlinear Image compression Signal processing Mathematics Schwingung (DE-588)4053999-4 gnd Signalverarbeitung (DE-588)4054947-1 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| subject_GND | (DE-588)4053999-4 (DE-588)4054947-1 (DE-588)4221363-0 (DE-588)4006684-8 (DE-588)1071861417 |
| title | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures |
| title_auth | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures |
| title_exact_search | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures |
| title_full | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures Yves Meyer |
| title_fullStr | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures Yves Meyer |
| title_full_unstemmed | Oscillating patterns in image processing and nonlinear evolution equations the fifteenth Dean Jacqueline B. Lewis Memorial Lectures Yves Meyer |
| title_short | Oscillating patterns in image processing and nonlinear evolution equations |
| title_sort | oscillating patterns in image processing and nonlinear evolution equations the fifteenth dean jacqueline b lewis memorial lectures |
| title_sub | the fifteenth Dean Jacqueline B. Lewis Memorial Lectures |
| topic | Compression d'images Oscillations Traitement du signal - Mathématiques Équations d'évolution non linéaires Mathematik Evolution equations, Nonlinear Image compression Signal processing Mathematics Schwingung (DE-588)4053999-4 gnd Signalverarbeitung (DE-588)4054947-1 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Bildverarbeitung (DE-588)4006684-8 gnd |
| topic_facet | Compression d'images Oscillations Traitement du signal - Mathématiques Équations d'évolution non linéaires Mathematik Evolution equations, Nonlinear Image compression Signal processing Mathematics Schwingung Signalverarbeitung Nichtlineare Evolutionsgleichung Bildverarbeitung Konferenzschrift |
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