Image Analysis, Random Fields and Markov Chain Monte Carlo Methods : A Mathematical Introduction / by Gerhard Winkler
(Applications of Mathematics, Stochastic Modelling and Applied Probability ; 27)
| データ種別 | 電子ブック |
|---|---|
| 版 | Second Edition |
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
| 出版年 | 2003 |
| 本文言語 | 英語 |
| 大きさ | XVI, 387 p : online resource |
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| 内容注記 | I. Bayesian Image Analysis: Introduction 1. The Bayesian Paradigm 2. Cleaning Dirty Pictures 3. Finite Random Fields II. The Gibbs Sampler and Simulated Annealing 4. Markov Chains: Limit Theorems 5. Gibbsian Sampling and Annealing 6. Cooling Schedules III. Variations of the Gibbs Sampler 7. Gibbsian Sampling and Annealing Revisited 8. Partially Parallel Algorithms 9. Synchronous Algorithms IV. Metropolis Algorithms and Spectral Methods 10. Metropolis Algorithms 11. The Spectral Gap and Convergence of Markov Chains 12. Eigenvalues, Sampling, Variance Reduction 13. Continuous Time Processes V. Texture Analysis 14. Partitioning 15. Random Fields and Texture Models 16. Bayesian Texture Classification VI. Parameter Estimation 17. Maximum Likelihood Estimation 18. Consistency of Spatial ML Estimators 19. Computation of Full ML Estimators VII. Supplement 20. A Glance at Neural Networks 21. Three Applications VIII. Appendix A. Simulation of Random Variables A.1 Pseudorandom Numbers A.2 Discrete Random Variables A.3 Special Distributions B. Analytical Tools B.1 Concave Functions B.2 Convergence of Descent Algorithms B.3 A Discrete Gronwall Lemma B.4 A Gradient System C. Physical Imaging Systems D. The Software Package AntslnFields References Symbols |
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| 一般注記 | This second edition of G. Winkler's successful book on random field approaches to image analysis, related Markov Chain Monte Carlo methods, and statistical inference with emphasis on Bayesian image analysis concentrates more on general principles and models and less on details of concrete applications. Addressed to students and scientists from mathematics, statistics, physics, engineering, and computer science, it will serve as an introduction to the mathematical aspects rather than a survey. Basically no prior knowledge of mathematics or statistics is required. The second edition is in many parts completely rewritten and improved, and most figures are new. The topics of exact sampling and global optimization of likelihood functions have been added |
| 著者標目 | *Winkler, Gerhard author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Radiology LCSH:Computer simulation LCSH:Image processing LCSH:Numerical analysis LCSH:Probabilities LCSH:Statistics FREE:Mathematics FREE:Probability Theory and Stochastic Processes FREE:Image Processing and Computer Vision FREE:Numerical Analysis FREE:Simulation and Modeling FREE:Imaging / Radiology FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences |
| 分 類 | DC23:519.2 |
| 巻冊次 | ISBN:9783642557606 
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| ISBN | 9783642557606 |
| URL | http://dx.doi.org/10.1007/978-3-642-55760-6 |
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