Pattern Theory —— The Stochastic Analysis of Real-World Signals

----- 模式理论：现实世界信号的随机分析

ISBN: 9781568815794 出版年：2010 页码：422 Mumford, David Desolneux, Agnes CRC Press

Preface Notation What Is Pattern Theory? The Manifesto of Pattern Theory The Basic Types of Patterns Bayesian Probability Theory: Pattern Analysis and Pattern Synthesis English Text and Markov Chains Basics I: Entropy and Information Measuring the n-gram Approximation with Entropy Markov Chains and the n-gram Models Words Word Boundaries via Dynamic Programming and Maximum Likelihood Machine Translation via Bayes' Theorem Exercises Music and Piece wise Gaussian Models Basics III: Gaussian Distributions Basics IV: Fourier Analysis Gaussian Models for Single Musical Notes Discontinuities in One-Dimensional Signals The Geometric Model for Notes via Poisson Processes Related Models Exercises Character Recognition and Syntactic Grouping Finding Salient Contours in Images Stochastic Models of Contours The Medial Axis for Planar Shapes Gestalt Laws and Grouping Principles Grammatical Formalisms Exercises Contents Image Texture, Segmentation and Gibbs Models Basics IX: Gibbs Fields (u + v)-Models for Image Segmentation Sampling Gibbs Fields Deterministic Algorithms to Approximate the Mode of a Gibbs Field Texture Models Synthesizing Texture via Exponential Models Texture Segmentation Exercises Faces and Flexible Templates Modeling Lighting Variations Modeling Geometric Variations by Elasticity Basics XI: Manifolds, Lie Groups, and Lie Algebras Modeling Geometric Variations by Metrics on Diff Comparing Elastic and Riemannian Energies Empirical Data on Deformations of Faces The Full Face Model Appendix: Geodesics in Diff and Landmark Space Exercises Natural Scenes and their Multiscale Analysis High Kurtosis in the Image Domain Scale Invariance in the Discrete and Continuous Setting The Continuous and Discrete Gaussian Pyramids Wavelets and the "Local" Structure of Images Distributions Are Needed Basics XIII: Gaussian Measures on Function Spaces The Scale -Rotation- and Translation-Invariant Gaussian Distribution Mode lII: Images Made Up of Independent Objects Further Models Appendix: A Stability Property of the Discrete Gaussian Pyramid Exercises Bibliography Index