數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] pdf epub mobi txt 電子書 下載 2024

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數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging]

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[奧] 斯科澤(Scherzer O.) 著



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齣版社: 世界圖書齣版公司
ISBN:9787510058424
版次:1
商品編碼:11273585
包裝:平裝
外文名稱:Variational Methods in Imaging
開本:24開
齣版時間:2013-03-01
用紙:膠版紙
頁數:320
正文語種:英文

數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

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數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] pdf epub mobi txt 電子書 下載



具體描述

內容簡介

  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.

內頁插圖

目錄

Part I Fundamentals of Imagmg
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 Thermoacoustic Computerzed Tomography
1.6 Schlieren Tomography
2 Image and Noise Models
2.1 Basic Concepts of Statistics
2.2 Digitzed (Discrete) Images
2.3 Noise Models
2.4 Priors for Images
2.5 Maximum A Posteriori Estimation
2.6 MAP Rstimation for Noisy Images

Part II Regularization
3 Variational R,egularzation Methods for the Solution of Inverse Problems
3.1 Quadratic Tikhonov R;egularization in Hilbert Spaces
3.2 Variational R,egularization Methods in Banach Spaces
3.3 Regularization with Sparsity Constraints
3.4 Linear Inverse Problems with Convex Constraints
3.5 Schlieren Tomography.
3.6 Further 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 R,egularization
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 Serru-group Theory and Scale Spaces
6.1 Linear Semi-group Theory
6.2 Non-linear Semi-groups in Hilbert Spaces
6.3 Non-Iinear Semi-groups in Banach Spaces
6.4 Axiomatic Approach to Scale Spaces
6.5 Evolution by Non-convex Energy Functionals
6.6 Enhancing
7 Inverse Scale Spaces
7.1 Iterative Tikhonov Regularization
7.2 Iterative Regularization with Bregman Distances
7.3Recent 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 Differentiable 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
10 Convex Analysis and Calculus of Variations
References
Nomenclature
Index

前言/序言



數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] 下載 mobi epub pdf txt 電子書

數學經典教材:成像中的變分法(影印版)(英文版) [Variational Methods in Imaging] pdf epub mobi txt 電子書 下載
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