出版社:世界图书出版公司北京公司
年代:2013
定价:59.0
本书是一部十分优秀的讲述成像分析中的贝叶斯成像和样条模型的教材。随着更多数学家在新兴学科数字成像数理中参与地越来越多,并且在解决复杂问题的模型建立方面扮演越来越重要的角色,做出的贡献也日益呈现。这本书出现显得尤为重要。本书更多地强调基于能量的模型,这些模型大多源于作者参与的机器人视野和X光线照相术,如追踪3D线、射线图像处理、3D重组和X线断层摄影术、等等的工业项目。读者对象:该书的目标读者是想学习更多在成像处理应用的数理统计人员和想要将数学知识应用于自身研究的工程人员。
Foreword by Henri Maitre
Acknowledgments
List of Figures
Notation and Symbols
1 Introduction
1.1 About Modeling
1.1.1 Bayesian Approach
1.1.2 Inverse Problem
1.1.3 Energy-Based Formulation
1.1.4 Models
1.2 Structure of the Book
Ⅰ Spline Models
2 Nonparametric Spline Models
2.1 Definition
2.2 Optimiation
2.2.1 Bending Spline
2.2.2 Spline Under Tension
2.2.3 Robustness
2.3 Bayesian Interpretation
2.4 Choice of R,egularization 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 Projectionlndex
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 Gaussian Energy
5.4 Consistency Problem
……
Ⅲ Modeling in Action
In the last decade of the past centurlr we witnessed an exceptional participation of mathematicians in the development of digital image processing as a science. These contributions have found a natural place at the low level of processing, with the advent of mathematical morphology, differential equations, Markov random fields, and wavelet theory. They are also reflected in the increasingly important role modeling has played in solving complex problems.
Although modeling is often a hidden stage of the solution, the benefits of correctly modeling an image processing problem are huge. Modeling is the very place where "sensitivity" steals a lead over "geometry", to put it in Pascal's words, Correct modeling introduces information that cannot be expressed by data or deduced by equations, but refiects the subtle dependency or causality between the ingredients. Modeling has more to do with pots and pans than recipes and spices, to draw out the culinary metaphor. Bernard Chalmond's work is mainly dedicated to modeling issues. It does not fully cover this field, since it is mostly concerned with two types of model: Bayesian models issued from probability theory and energy-based models derived from physics and mechanics. Within the scope of these models, the book deeply explores the various consequences of the choice of a model; it compares their hypotheses, discusses their merits, explores their validity, and suggests possible fields of application.
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.
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书名 | 图像分析中的模型和逆问题站内查询相似图书 | ||
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出版地 | 北京 | 出版单位 | 世界图书出版公司北京公司 |
版次 | 影印本 | 印次 | 1 |
定价(元) | 59.0 | 语种 | 英文 |
尺寸 | 23 × 15 | 装帧 | 平装 |
页数 | 印数 |
图像分析中的模型和逆问题是世界图书出版公司北京公司于2013.10出版的中图分类号为 TP391.41 的主题关于 图象分析-研究-英文 的书籍。