成像中的变分法-167
节选
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《成像中的变分法(英文)》由世界图书出版公司北京公司出版。
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本书特色
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《成像中的变分法(英文)》由世界图书出版公司北京公司出版。
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内容简介
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Imagmg is an interdisciplinary research area with profound applications in many areas of science, engineering, technology, and medicine. The most primitrve form of imaging is visual in,spection, which has dominated the area before the technical and computer revolution era. Today, computer imaging covers various aspects of data tiltering, pattern recognition, feature extraction., co’mputer aided mspection, and medical diagnosis. The above mentioned areas are treated in different scientific communities such as Imagin,g, In,verse Problems, Computer Vision, Signal and Image Processing,…, but all share the common thread of recovery of an object or one of its properties.
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目录
Part I Fundamentals of Imagmg1 Case Examples of Imaging1.1 Denoising1.2 Chopping and Nodding1.3 Image Inpainting1.4 X-ray-Based Computerized Tomography1.5 Thermoacoustic Computerzed Tomography1.6 Schlieren Tomography2 Image and Noise Models2.1 Basic Concepts of Statistics2.2 Digitzed (Discrete) Images2.3 Noise Models2.4 Priors for Images2.5 Maximum A Posteriori Estimation2.6 MAP Rstimation for Noisy Images Part I Fundamentals of Imagmg1 Case Examples of Imaging1.1 Denoising1.2 Chopping and Nodding1.3 Image Inpainting 1.4 X-ray-Based Computerized Tomography1.5 Thermoacoustic Computerzed Tomography1.6 Schlieren Tomography2 Image and Noise Models 2.1 Basic Concepts of Statistics2.2 Digitzed (Discrete) Images2.3 Noise Models2.4 Priors for Images2.5 Maximum A Posteriori Estimation2.6 MAP Rstimation for Noisy Images Part II Regularization3 Variational R,egularzation Methods for the Solution of Inverse Problems3.1 Quadratic Tikhonov R;egularization in Hilbert Spaces3.2 Variational R,egularization Methods in Banach Spaces3.3 Regularization with Sparsity Constraints3.4 Linear Inverse Problems with Convex Constraints3.5 Schlieren Tomography.3.6 Further Literature on Regularization Methods for Inverse Problems 4 Convex Regularization Methods for Denoising4.1 The Number4.2 Characterization of Minimizers4.3 One-dimensional Results4.4 Taut String Algorithm4.5 Mumford-Shah Regularization4.6 Recent Topics on Denoising with Variational Methods5 Variational Calculus for Non-convex R,egularization5.1 Direct Methods 5.2 Relaxation on Sobolev Spaces5.3 Relaxation on BV5.4 Applications in Non-convex Regularization5.5 One-dimensional Results5.6 Examples6 Serru-group Theory and Scale Spaces6.1 Linear Semi-group Theory6.2 Non-linear Semi-groups in Hilbert Spaces6.3 Non-Iinear Semi-groups in Banach Spaces6.4 Axiomatic Approach to Scale Spaces6.5 Evolution by Non-convex Energy Functionals6.6 Enhancing7 Inverse Scale Spaces7.1 Iterative Tikhonov Regularization7.2 Iterative Regularization with Bregman Distances7.3Recent Topics on Evolutionary Equations for Inverse Problems Part III Mathematical Foundations8 Functional Analysis8.1 General Topology8.2 Locally Convex Spaces8.3 Bounded Linear Operators and Functionals8.4 Linear Operators in Hilbert Spaces8.5 Weak and Weak Topologies8.6 Spaces of Differentiable Functions9 Weakly Differentiable Functions9.1 Measure and Integration Theory9.2 Distributions and Distributional Derivatives9.3 Geometrical Properties of Functions and Domains9.4 Sobolev Spaces10 Convex Analysis and Calculus of VariationsReferencesNomenclatureIndex
封面
书名:成像中的变分法-167
作者:斯科泽
页数:320
定价:¥59.0
出版社:世界图书出版公司
出版日期:2013-07-01
ISBN:9787510058424
PDF电子书大小:52MB 高清扫描完整版