统计和计算逆问题
统计和计算逆问题作者:凯皮奥 开 本:24开 书号ISBN:9787510086311 定价:39.0 出版时间:2015-01-01 出版社:世界图书出版公司 |
7.2.2 MAP Estimates
7.2.3 Sampling: Gibbs Sampler
7.3 Biomagnetic Inverse Problem: Source Localization
7.3.1 Reconstruction with Gaussian White Noise Prior Model
7.3.2 Reconstruction of Dipole Strengths with the e1-prior Model
7.4 Dynamic MEG by Bayes Filtering
7.4.1 A Single Dipole Model
7.4.2 More Realistic Geometry
7.4.3 Multiple Dipole Models
7.5 Electrical Impedance Tomography: Optimal Current Patterns
7.5.1 A Posteriori Synthesized Current Patterns
7.5.2 Optimization Criterion
7.5.3 Numerical Examples
7.6 Electrical Impedance Tomography: Handling Approximation Errors
7.6.1 Meshes and Projectors
7.6.2 The Prior Distribution and the Prior Model
7.6.3 The Enhanced Error Model
7.6.4 The MAP Estimates
7.7 Electrical Impedance Process Tomography
7.7.1 The Evolution Model
7.7.2 The Observation Model and the Computational Scheme
7.7.3 The Fixed-lag State Estimate
7.7.4 Estimation of the Flow Profile
7.8 Optical Tomography in Anisotropic Media
7.8.1 The Anisotropy Model
7.8.2 Linearized Model
7.9 Optical Tomography: Boundary Recovery
7.9.1 The General Elliptic Case
7.9.2 Application to Optical Diffusion Tomography
7.10 Notes and Comments
A Appendix: Linear Algebra and Functional Analysis
A.1 Linear Algebra
A.2 Functional Analysis
A.3 Sobolev Spaces
B Appendix 2: Basics on Probability
B.1 Basic Concepts
B.2 Conditional Probabilities
References
Index
自然科学 数学 概率论与数理统计
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