成像中的变分法
正版保障 假一赔十 可开发票
￥ 35.35 6.0折 ￥ 59 全新
库存6件
广东广州
认证卖家担保交易快速发货售后保障
作者[奥]Otmar Scherzer
出版社世界图书出版有限公司
ISBN9787510058424
出版时间2012-03
装帧平装
开本其他
定价59元
货号7990186
上书时间2024-01-14
商品详情
- 品相描述：全新
- 商品描述
-
作者简介
Otmar Scherzer，Markus Grasmair， Harald Grossauer，Markus Haltmeier， Frank Lenzen是国际知名学者，在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果，适用于科研工作者、高校教师和研究生。
目录
Part I Fundamentals Of Imaging 1 Case Examples Of Imaging 1.1 Denoising 1.2 Chopping And Nodding 1.3 Image Inpainting 1.4 X-Ray-Based Computerized Tomography 1.5 Thermoaconstic Computerized Tomography 1.6 Schlieren Tomography 2 Image And Noise Models 2.1 Basic Concepts Of Statistics 2.2 Digitized (Discrete) Images 2.3 Noise Models 2.4 Priors For Images 2.5 Maximum A Posteriori Estimation 2.6 Map Estimation For Noisy Images Part Ii Regularization Variational Regularization Methods For The Solution Of Inverse Problems 3.1 Quadratic Tikhonov Regularization In Hilbert Spaces 3.2 Variational Regularization Methods In Banach Spaces 3.3 Regularization With Sparsity Constraints 3.4 Linear Inverse Problems With Convex Constraints 3.5 Schlieren Tomography 3.6 Fulrther Literature On Regularization Methods For Inverse Problems 4 Convex Regularization Methods For Denoising 4.1 The *-Number 4.2 Characterization Of Minimizers 4.3 One-Dimensional Results 4.4 Taut String Algorithm 4.5 Mumford-Shah Regularization 4.6 Recent Topics On Denoising With Variational Methods 5 Variational Calculus For Non-Convex Regularization 5.1 Direct Methods 5.2 Relaxation On Sobolev Spaces 5.3 Relaxation On Bv 5.4 Applications In Non-Convex Regularization 5.5 One-Dimensional Results 5.6 Examples 6 Semi-Group Theory And Scale Spaces 6.1 Linear Semi-Group Theory 6.2 Non-Linear Semi-Groups In Hilbert Spaces 6.3 Non-Linear Semi-Groups In Banach Spaces 6.4 Axiomatic Approach To Scale Spaces 6.5 Evolution By Non-Convex Energy Functionals 6.6 Enhancing Inverse Scale Spaces 7.1 Iterative Tikhonov Regularization 7.2 Iterative Regularization With Bregm/M Distances 7.3 Recent Topics On Evolutionary Equations For Inverse Problems Part Iii Mathematical Foundations 8 Functional Analysis 8.1 General Topology 8.2 Locally Convex Spaces 8.3 Bounded Linear Operators And Functionals 8.4 Linear Operators In Hilbert Spaces 8.5 Weak And Weak* Topologies 8.6 Spaces Of Differentiable Functions 9 Weakly Different/Able Functions 9.1 Measure And Integration Theory 9.2 Distributions And Distributional Derivatives 9.3 Geometrical Properties Of Functions And Domains 9.4 Sobolev Spaces 9.5 Convolution 9.6 Sobolev Spaces Of Fractional Order 9.7 Bochner Spaces 9.8 Functions Of Bounded Variation 10 Convex Analysis And Calculus Of Variations 10.1 Convex And Lower Semi-Continuous Functionals 10.2 Fenchel Duality And Subdifferentiability 10.3 Duality Mappings 10.4 Differentiability Of Functionals And Operators 10.5 Derivatives Of Integral Functionals On Lp(Ω) References Nomenclature Index
精彩内容
本书致力于研究成像处理中的方法，本着数学的严谨，用逆问题的观点研究这个科目。更重要的，本书从确定性、几何和随机的观点研究变分法，架起了成像分析中规范理论和逆问题的桥梁，图形分析中的案例来解释变分法，如去噪、热声学、计算断层照相法中的应用，讨论了非凸变量微积分、形态学分析和水平集之间的联系。分析变分法包括变分法的经典分析、现代分析如G规范性质和非凸变量分析，运用数值例子提高学习这本书的研究生和应用数学的研究人员理论水平。本书可以作为成像处理及和逆过程课程的一本很好的研究生水平的教程，也可以是学习规范理论的补充教程。成像处理领域的计算机专家也会从这本书中受益。
媒体评论
《成像中的变分法》(作者斯科泽)致力于研究成像处理中的方法，本着数学的严谨，用逆问题的观点研究这个科目。更重要的，本书从确定性、几何和随机的观点研究变分法，架起了成像分析中规范理论和逆问题的桥梁，图形分析中的案例来解释变分法，如去噪、热声学、计算断层照相法中的应用，讨论了非凸变量微积分、形态学分析和水平集之间的联系。
— 没有更多了 —
以下为对购买帮助不大的评价