图像处理中的数学问题
全新正版现货
￥ 33.1 7.4折 ￥ 45 全新
仅1件
四川成都
认证卖家担保交易快速发货售后保障
作者（法）奥伯特 著
出版社世界图书出版公司
ISBN9787510005381
出版时间2009-10
装帧平装
开本24开
纸张胶版纸
定价45元
货号20723621
上书时间2023-05-18
- 最新上架
商品详情
- 品相描述：全新
- 正版全新
- 商品描述
-
【目录】:
Foreword
Preface to the Second Edition
Preface to the First Edition
Guide to the Main Mathematical Concepts and
Their Application
Notation and Symbols
1 Introduction
1.1 The Image Society
1.2 What Is a Digital Image?
1.3 About Partial Differential Equations (PDEs)
1.4 Detailed Plan
2 Mathematical Preliminaries
How to Read This Chapter
2.1 The Direct Method in the Calculus of Variations...
2.1.1 Topologies on Banach Spaces
2.1.2 Convexity and Lower Semicontinuity .
2.1.3 Relaxation
2.1.4 About F-Convergence
2.2 The Space of Functions of Bounded Variation
2.2.1 Basic Definitions on Measures
2.2.2 Definition of BV(ft)
2.2.3 Properties of BV(f~)
2.2.4 Convex Functions of Measures
2.3 Viscosity Solutions in PDEs
2.3.1 About the Eikonal Equation
2.3.2 Definition of Viscosity Solutions
2.3.3 About the Existence
2.3.4 About the Uniqueness
2.4 Elements of Differential Geometry: Curvature
2.4.1 Parametrized Curves
2.4.2 Curves as Isolevel of a Function u
2.4.3 Images as Surfaces
2.5 Other Classical Results Used in This Book
2.5.1 Inequalities
2.5.2 Calculus Facts
2.5.3 About Convolution and Smoothing
2.5.4 Uniform Convergence
2.5.5 Dominated Convergence Theorem
2.5.6 Well-Posed Problems
3 Image Restoration
How to Read This Chapter
3.1 Image Degradation
3.2 The Energy Method
3.2.1 An Inverse Problem
3.2.2 Regularization of the Problem
3.2.3 Existence and Uniqueness of a Solution for the Minimization Problem
3.2.4 Toward the Numerical Approximation
The Projection Approach
The Half-Quadratic Minimization Approach
3.2.5 Some Invariances and the Role of A
3.2.6 Some Remarks on the Nonconvex Case
3.3 PDE-Based Methods
3.3.1 Smoothing PDEs
The Heat Equation
Nonlinear Diffusion
The Alvarez-Guichard-Lions-Morel
Scale Space Theory
Weickert's Approach
Surface Based Approaches
3.3.2 Smoothing-Enhancing PDEs
The Perona and Malik Model
……
4 The Segmentation Problem
5 Other Challenging Applications
A Introduction to Finite Difference Methods
B Experiment Yourself!
References
Index
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价