sparse image representation via combined transforms - Convex ...
sparse image representation via combined transforms - Convex ... sparse image representation via combined transforms - Convex ...
xii
Contents Abstract Acknowledgments Content List of Tables List of Figures Nomenclature List of Abbreviations ix xi xvii xix xxiii xxv xxvii 1 Introduction 1 1.1 Overview ..................................... 1 1.2 Outline ...................................... 2 2 Sparsity in Image Coding 3 2.1 Image Coding . . . . . .............................. 3 2.1.1 Shannon’sMathematicalCommunicationSystem........... 3 2.1.2 SourceandChannelCoding....................... 7 2.1.3 TransformCoding ............................ 8 2.2 SparsityandCompression............................ 13 2.2.1 Weak l p Norm .............................. 15 2.2.2 Kolmogorov Entropy and Compression . . . .............. 19 2.2.3 Summary . . . .............................. 21 xiii
- Page 1 and 2: SPARSE IMAGE REPRESENTATION VIA COM
- Page 3: I certify that I have read this dis
- Page 7 and 8: To find a sparse image representati
- Page 9: Abstract We consider sparse image d
- Page 14 and 15: 2.3 Discussion.....................
- Page 16 and 17: 6 Simulations 119 6.1 Dictionary...
- Page 18 and 19: xviii
- Page 21 and 22: List of Figures 2.1 Shannon’s sch
- Page 23 and 24: A.3 Edgelet transform of the wood g
- Page 25 and 26: Nomenclature Special sets N .......
- Page 27 and 28: List of Abbreviations BCR .........
- Page 29 and 30: Chapter 1 Introduction 1.1 Overview
- Page 31 and 32: Chapter 2 Sparsity in Image Coding
- Page 33 and 34: 2.1. IMAGE CODING 5 INFORMATION SOU
- Page 35 and 36: 2.1. IMAGE CODING 7 2.1.2 Source an
- Page 37 and 38: 2.1. IMAGE CODING 9 x ✲ T y ERROR
- Page 39 and 40: 2.1. IMAGE CODING 11 where Q stands
- Page 41 and 42: 2.2. SPARSITY AND COMPRESSION 13 Pr
- Page 43 and 44: 2.2. SPARSITY AND COMPRESSION 15 av
- Page 45 and 46: 2.2. SPARSITY AND COMPRESSION 17 wi
- Page 47 and 48: 2.2. SPARSITY AND COMPRESSION 19 lo
- Page 49 and 50: 2.3. DISCUSSION 21 tail compact. Th
- Page 51 and 52: 2.4. PROOF 23 The index l does not
- Page 53 and 54: Chapter 3 Image Transforms and Imag
- Page 55 and 56: 27 Some of the figures show the bas
- Page 57 and 58: 3.1. DCT AND HOMOGENEOUS COMPONENTS
- Page 59 and 60: 3.1. DCT AND HOMOGENEOUS COMPONENTS
- Page 61 and 62: 3.1. DCT AND HOMOGENEOUS COMPONENTS
xii
Change language