图像分析中的模型和逆问题.pdf

图像分析中的模型和逆问题.pdf
 

书籍描述

内容简介
《图像分析中的模型和逆问题》内容简介:This book fulfills a need in the field of computer science research and education. It is not intended for professional mathematicians, but it undoubtedly deals with applied mathematics. Most of the expectations of the topic are fulfilled: precision, exactness, completeness, and excellent references to the original historical works. However, for the sake of read-ability, many demonstrations are omitted. It is not a book on practical image processing, of which so many abound, although all that it teaches is directly concerned with image analysis and image restoration. It is the perfect resource for any advanced scientist concerned with a better un-derstanding of the theoretical models underlying the methods that have efficiently solved numerous issues in robot vision and picture processing.

编辑推荐
《图像分析中的模型和逆问题》由世界图书出版公司出版。

作者简介
作者:(法国)查蒙德(Bernard Chalmond)

目录
Foreword by Henri Maitre
Acknowledgments
List of Figures
Notation and Symbols
Ⅰ Introduction
1.1 About Modeling
1.1.1 Bayesian Approach
1.1.2 Inverse Problem
1.1.3 Energy-Based Formnlntion
1.1.4 Models
1.2 Structure of the Book
1 Spline Models
2 Nonpnrametric Spline Models
2.1 Definition
2.2 Optimization
2.2.1 Bending Spline
2.2.2 Spline Under Tension
2.2.3 Robustness
2.3 Bayesian Interpretation
2.4 Choice of Regularization Parameter
2.5 Approximation Using a Surface
2.5.1 L-Spline Surface
2.5.2 Quadratic Energy
2.5.3 Finite Element Optimization
3 Parametric Spline Models
3.1 Representation on a Basis of B-Splines
3.1.1 Approximation Spline
3.1.2 Construction of B-Splines
3.2 Extensions
3.2.1 Multidimensional Case
3.2.2 Heteroscedasticity
3.3 High-Dimensional Splines
3.3.1 Revealing Directions
3.3.2 Projection Pursuit Regression
4 Auto-Associative Models
4.1 Analysis of Multidimensional Data
4.1.1 A Classical Approach
4.1.2 Toward an Alternative Approach
4.2 Auto-Associative Composite Models
4.2.1 Model and Algorithm
4.2.2 Properties
4.3 Projection Pursuit and Spline Smoothing
4.3.1 Projection Index
4.3.2 Spline Smoothing
4.4 Illustration
Ⅱ Markov Models
5 Fundamental Aspects
5.1 Definitions
5.1.1 Finite Markov Fields
5.1.2 Gibbs Fields
5.2 Markov-Gibbs Equivalence
5.3 Examples
5.3.1 Bending Energy
5.3.2 Bernoulli Energy
5.3.3 Ganssian Energy
5.4 Consistency Problem
……
Ⅲ Modeling in Action
References
Author Index
Subject Index

文摘
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