
Statistical Learning and Pattern Analysis for Image and Video Processing
By: Nanning Zheng, Jianru Xue
eText | 25 July 2009
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Why are We Writing This Book? Visual data (graphical, image, video, and visualized data) affect every aspect of modern society. The cheap collection, storage, and transmission of vast amounts of visual data have revolutionized the practice of science, technology, and business. Innovations from various disciplines have been developed and applied to the task of designing intelligent machines that can automatically detect and exploit useful regularities (patterns) in visual data. One such approach to machine intelligence is statistical learning and pattern analysis for visual data. Over the past two decades, rapid advances have been made throughout the ?eld of visual pattern analysis. Some fundamental problems, including perceptual gro- ing,imagesegmentation, stereomatching, objectdetectionandrecognition,and- tion analysis and visual tracking, have become hot research topics and test beds in multiple areas of specialization, including mathematics, neuron-biometry, and c- nition. A great diversity of models and algorithms stemming from these disciplines has been proposed. To address the issues of ill-posed problems and uncertainties in visual pattern modeling and computing, researchers have developed rich toolkits based on pattern analysis theory, harmonic analysis and partial differential eq- tions, geometry and group theory, graph matching, and graph grammars. Among these technologies involved in intelligent visual information processing, statistical learning and pattern analysis is undoubtedly the most popular and imp- tant approach, and it is also one of the most rapidly developing ?elds, with many achievements in recent years. Above all, it provides a unifying theoretical fra- work for intelligent visual information processing applications.
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Cover -- Contents -- 1 Pattern Analysis and Statistical Learning -- 1.1 Introduction -- 1.1.1 Statistical Pattern Recognition -- 1.1.2 Pattern Theory -- 1.2 Statistical Classification -- 1.2.1 Feature Extraction and Selection -- 1.2.2 Classifier -- 1.3 Visual Pattern Representation -- 1.3.1 The Curse of Dimensionality -- 1.3.2 Dimensionality Reduction Techniques -- 1.4 Statistical Learning -- 1.4.1 Prediction Risk -- 1.4.2 Supervised, Unsupervised, and Others -- 1.5 Summary -- References -- 2 Unsupervised Learning for Visual Pattern Analysis -- 2.1 Introduction -- 2.1.1 Unsupervised Learning -- 2.1.2 Visual Pattern Analysis -- 2.1.3 Outline -- 2.2 Cluster Analysis -- 2.3 Clustering Algorithms -- 2.3.1 Partitional Clustering -- 2.3.2 Hierarchical Clustering -- 2.4 Perceptual Grouping -- 2.4.1 Hierarchical Perceptual Grouping -- 2.4.2 Gestalt Grouping Principles -- 2.4.3 Contour Grouping -- 2.4.4 Region Grouping -- 2.5 Learning Representational Models for Visual Patterns -- 2.6 Summary -- Appendix -- References -- 3 Component Analysis -- 3.1 Introduction -- 3.2 Overview of Component Analysis -- 3.3 Generative Models -- 3.3.1 Principal Component Analysis -- 3.3.2 Nonnegative Matrix Factorization -- 3.4 Discriminative Models -- 3.4.1 Linear Discriminative Analysis -- 3.4.2 Oriented Component Analysis -- 3.4.3 Canonical Correlation Analysis -- 3.4.4 Relevant Component Analysis -- 3.5 Standard Extensions of the Linear Model -- 3.5.1 Latent Variable Analysis -- 3.5.2 Kernel Method -- 3.6 Summary -- References -- 4 Manifold Learning -- 4.1 Introduction -- 4.2 Mathematical Preliminaries -- 4.2.1 Manifold Related Terminologies -- 4.2.2 Graph Related Terminologies -- 4.3 Global Methods -- 4.3.1 Multidimensional Scaling -- 4.3.2 Isometric Feature Mapping -- 4.3.3 Variants of the Isomap -- 4.4 Local Methods -- 4.4.1 Locally Linear Embedding -- 4.4.2 Laplacian Eigenmaps -- 4.4.3 Hessian Eigenmaps -- 4.4.4 Diffusion Maps -- 4.5 Hybrid Methods: Global Alignment of Local Models -- 4.5.1 Global Coordination of Local Linear Models -- 4.5.2 Charting a Manifold -- 4.5.3 Local Tangent Space Alignment -- 4.6 Summary -- Appendix -- References -- 5 Functional Approximation -- 5.1 Introduction -- 5.2 Modeling and Approximating the Visual Data -- 5.2.1 On Statistical Analysis -- 5.2.2 On Harmonic Analysis -- 5.2.3 Issues of Approximation and Compression -- 5.3 Wavelet Transform and Lifting Scheme -- 5.3.1 Wavelet Transform -- 5.3.2 Constructing a Wavelet Filter Bank -- 5.3.3 Lifting Scheme -- 5.3.4 Lifting-Based Integer Wavelet Transform -- 5.4 Optimal Integer Wavelet Transform -- 5.5 Introducing Adaptability into the Wavelet Transform -- 5.5.1 Curve Singularities in an Image -- 5.5.2 Anisotropic Basis -- 5.5.3 Adaptive Lifting-Based Wavelet -- 5.6 Adaptive Lifting Structure -- 5.6.1 Adaptive Prediction Filters -- 5.6.2 Adaptive Update Filters -- 5.7 Adaptive Directional Lifting Scheme -- 5.7.1 ADL Framework -- 5.7.2 Implementation of ADL -- 5.8 Motion Compensation Temporal Filtering in Video Coding -- 5.8.1 Overview of MCTF -- 5.8.2 MC in MCTF -- 5.8.3 Adaptive Lifting-Based Wavelets in MCTF -- 5.9 Summary and Discussions -- References -- 6 Supervised Lear.
ISBN: 9781848823129
ISBN-10: 1848823126
Published: 25th July 2009
Format: PDF
Language: English
Publisher: Springer Nature
























