Image and Video Compression for Multimedia Engineering: Fundamentals, Algorithms, and Standards, Second Edition

578 Pages·2008·15.5 MB·English

by  Yun Q. Shi, Huifang Sun

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Shi/ImageandVideoCompressionforMultimediaEngineering 7364_C000 FinalProof page ii 23.2.2008 2:45pm CompositorName:BMani
IMAGE PROCESSING SERIES
Series Editor: Phillip A. Laplante, Pennsylvania State University
Published Titles
Adaptive Image Processing: A Computational Intelligence Perspective
Stuart William Perry, Hau-San Wong, and Ling Guan
Color Image Processing: Methods and Applications
Rastislav Lukac and Konstantinos N. Plataniotis
Image Acquisition and Processing with LabVIEW™
Christopher G. Relf
Image and Video Compression for Multimedia Engineering
Second Edition
Yun Q. Shi and Huiyang Sun
Multimedia Image and Video Processing
Ling Guan, S.Y. Kung, and Jan Larsen
Shape Analysis and Classification: Theory and Practice
Luciano da Fontoura Costa and Roberto Marcondes Cesar Jr.
Software Engineering for Image Processing Systems
Phillip A. Laplante
Shi/ImageandVideoCompressionforMultimediaEngineering 7364_C000 FinalProof page iii 23.2.2008 2:45pm CompositorName:BMani
Yun Q. Shi
New Jersey Institute of Technology
Newark, New Jersey, USA
Huifang Sun
Mitsubishi Electric Research Laboratories
Cambridge, Massachusetts, USA
Boca Raton London New York
CRC Press is an imprint of the
Taylor & Francis Group, an informa business
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CRC Press
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© 2008 by Taylor & Francis Group, LLC
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Library of Congress Cataloging-in-Publication Data
Shi, Yun Q.
Image and video compression for multimedia engineering : fundamentals, algorithms, and
standards / Yun Q. Shi and Huifang Sun. -- 2nd ed.
p. cm. -- (Image processing series)
Includes bibliographical references and index.
ISBN 978-0-8493-7364-0 (alk. paper)
1. Multimedia systems. 2. Image compression. 3. Video compression. I. Sun, Huifang. II. Title.
QA76.575.S555 2008
006.7--dc22 2007048389
Visit the Taylor & Francis Web site at
http://www.taylorandfrancis.com
and the CRC Press Web site at
http://www.crcpress.com
Shi/ImageandVideoCompressionforMultimediaEngineering 7364_C000 FinalProof page v 23.2.2008 2:45pm CompositorName:BMani
To beloved Kong Wai Shih,Wen Su,
Yi Xi Li,Shu Jun Zheng, and
Xian Hong Li
and
To beloved Xuedong,
Min, Yin, Andrew, Rich, Haixin,and
Allison

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Contents
Prefaceto the Second Edition................................................................................................... xxi
Prefaceto the First Edition..................................................................................................... xxiii
Content and Organization of the Book.................................................................................xxvii
Authors...................................................................................................................................... xxxi
Part I Fundamentals
Chapter 1 Introduction
1.1 Practical Needs for Image and Video Compression..............................................4
1.2 Feasibility of Image and Video Compression........................................................4
1.2.1 Statistical Redundancy.............................................................................................5
1.2.1.1 SpatialRedundancy...................................................................................5
1.2.1.2 Temporal Redundancy..............................................................................7
1.2.1.3 Coding Redundancy..................................................................................9
1.2.2 Psychovisual Redundancy.....................................................................................10
1.2.2.1 Luminance Masking................................................................................11
1.2.2.2 TextureMasking.......................................................................................13
1.2.2.3 Frequency Masking..................................................................................15
1.2.2.4 Temporal Masking...................................................................................16
1.2.2.5 Color Masking..........................................................................................16
1.2.2.6 Color Masking and ItsApplication in Video Compression..............19
1.2.2.7 Summary:DifferentialSensitivity..........................................................20
1.3 Visual Quality Measurement................................................................................20
1.3.1 Subjective Quality Measurement..........................................................................21
1.3.2 Objective QualityMeasurement...........................................................................22
1.3.2.1 Signal to Noise Ratio...............................................................................22
1.3.2.2 An Objective Quality Measure Basedon Human
VisualPerception.....................................................................................23
1.4 Information Theory Results..................................................................................26
1.4.1 Entropy.....................................................................................................................27
1.4.1.1 InformationMeasure...............................................................................27
1.4.1.2 AverageInformation per Symbol..........................................................27
1.4.2 Shannon’sNoiseless Source Coding Theorem....................................................28
1.4.3 Shannon’sNoisyChannel Coding Theorem.......................................................29
1.4.4 Shannon’sSourceCoding Theorem.....................................................................29
1.4.5 InformationTransmission Theorem.....................................................................29
1.5 Summary................................................................................................................30
Exercises.........................................................................................................................30
References.......................................................................................................................31
Chapter 2 Quantization
2.1 Quantization and the Source Encoder..................................................................33
2.2 Uniform Quantization...........................................................................................35
2.2.1 Basics.........................................................................................................................36
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2.2.1.1 Definitions.................................................................................................36
2.2.1.2 Quantization Distortion..........................................................................38
2.2.1.3 Quantizer Design.....................................................................................39
2.2.2 Optimum UniformQuantizer...............................................................................40
2.2.2.1 UniformQuantizer with UniformlyDistributed Input......................40
2.2.2.2 Conditions of Optimum Quantization..................................................41
2.2.2.3 Optimum UniformQuantizer with Different
Input Distributions...................................................................................44
2.3 Nonuniform Quantization....................................................................................45
2.3.1 Optimum (Nonuniform) Quantization................................................................45
2.3.2 Companding Quantization....................................................................................48
2.4 Adaptive Quantization..........................................................................................50
2.4.1 ForwardAdaptive Quantization..........................................................................52
2.4.2 Backward AdaptiveQuantization........................................................................52
2.4.3 Adaptive Quantization witha One-Word Memory..........................................53
2.4.4 Switched Quantization...........................................................................................53
2.5 Pulse Code Modulation.........................................................................................54
2.6 Summary................................................................................................................56
Exercises.........................................................................................................................57
References.......................................................................................................................58
Chapter 3 Differential Coding
3.1 Introduction to DPCM...........................................................................................59
3.1.1 Simple Pixel-to-Pixel DPCM..................................................................................60
3.1.2 GeneralDPCMSystems.........................................................................................63
3.2 Optimum Linear Prediction..................................................................................64
3.2.1 Formulation..............................................................................................................65
3.2.2 Orthogonality Condition and Minimum Mean Square Error..........................66
3.2.3 Solution to Yule–Walker Equations.....................................................................66
3.3 Some Issues in the Implementation of DPCM.....................................................66
3.3.1 Optimum DPCM System.......................................................................................67
3.3.2 1-D, 2-D, and 3-D DPCM.......................................................................................67
3.3.3 Orderof Predictor...................................................................................................68
3.3.4 Adaptive Prediction................................................................................................68
3.3.5 Effect ofTransmission Errors................................................................................68
3.4 Delta Modulation...................................................................................................70
3.5 Interframe Differential Coding.............................................................................73
3.5.1 Conditional Replenishment...................................................................................73
3.5.2 3-D DPCM................................................................................................................74
3.5.3 Motion Compensated Predictive Coding............................................................75
3.6 Information-Preserving Differential Coding........................................................76
3.7 Summary................................................................................................................77
Exercises.........................................................................................................................78
References.......................................................................................................................78
Chapter 4 Transform Coding
4.1 Introduction...........................................................................................................81
4.1.1 Hotelling Transform...............................................................................................81
4.1.2 Statistical Interpretation.........................................................................................83
4.1.3 Geometrical Interpretation.....................................................................................84
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4.1.4 Basis VectorInterpretation....................................................................................85
4.1.5 Procedures of TransformCoding.........................................................................86
4.2 Linear Transforms.................................................................................................87
4.2.1 2-D Image Transformation Kernel........................................................................87
4.2.1.1 Separability................................................................................................87
4.2.1.2 Symmetry..................................................................................................88
4.2.1.3 Matrix Form..............................................................................................88
4.2.1.4 Orthogonality............................................................................................89
4.2.2 Basis Image Interpretation.....................................................................................89
4.2.3 Subimage Size Selection.........................................................................................90
4.3 Transforms of Particular Interest..........................................................................92
4.3.1 Discrete Fourier Transform....................................................................................92
4.3.2 Discrete Walsh Transform.....................................................................................93
4.3.3 Discrete Hadamard Transform.............................................................................93
4.3.4 Discrete CosineTransform.....................................................................................95
4.3.4.1 Background...............................................................................................95
4.3.4.2 TransformationKernel............................................................................95
4.3.4.3 Relationship withDFT............................................................................96
4.3.5 Performance Comparison......................................................................................98
4.3.5.1 Energy Compaction.................................................................................98
4.3.5.2 MeanSquare Reconstruction Error.......................................................99
4.3.5.3 ComputationalComplexity..................................................................101
4.3.5.4 Summary.................................................................................................101
4.4 Bit Allocation.......................................................................................................101
4.4.1 ZonalCoding.........................................................................................................101
4.4.2 Threshold Coding.................................................................................................102
4.4.2.1 Thresholding and Shifting....................................................................103
4.4.2.2 Normalization and Roundoff...............................................................104
4.4.2.3 Zigzag Scan.............................................................................................106
4.4.2.4 Huffman Coding....................................................................................106
4.4.2.5 SpecialCode Words...............................................................................107
4.4.2.6 Rate Buffer Feedback and Equalization..............................................107
4.5 Some Issues..........................................................................................................108
4.5.1 Effectof Transmission Error................................................................................108
4.5.2 Reconstruction ErrorSources..............................................................................108
4.5.3 Comparison between DPCM and TC................................................................109
4.5.4 HybridCoding......................................................................................................109
4.6 Summary..............................................................................................................110
Exercises.......................................................................................................................112
References.....................................................................................................................112
Chapter 5 Variable-Length Coding: Information Theory Results (II)
5.1 Some Fundamental Results.................................................................................115
5.1.1 Coding an Information Source............................................................................115
5.1.2 Some Desired Characteristics..............................................................................116
5.1.2.1 Block Code..............................................................................................116
5.1.2.2 Uniquely Decodable Code....................................................................116
5.1.2.3 InstantaneousCodes..............................................................................118
5.1.2.4 CompactCode........................................................................................120
5.1.3 Discrete MemorylessSources..............................................................................120