Image Analysis, Random Fields and Dynamic Monte Carlo Methods A Mathematical Introduction

The book is mainly concerned with the mathematical foundations of Bayesian image analysis and its algorithms. This amounts to the study of Markov random fields and dynamic Monte Carlo algorithms like sampling, simulated annealing and stochastic gradient algorithms. The approach is introductory and e...

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Bibliographic Details
Main Author: Winkler, Gerhard
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1995, 1995
Edition:1st ed. 1995
Series:Stochastic Modelling and Applied Probability
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Image Analysis, Random Fields and Dynamic Monte Carlo Methods  |h Elektronische Ressource  |b A Mathematical Introduction  |c by Gerhard Winkler 
250 |a 1st ed. 1995 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1995, 1995 
300 |a XIV, 324 p  |b online resource 
505 0 |a I. Bayesian Image Analysis: Introduction -- 1. The Bayesian Paradigm -- 2. Cleaning Dirty Pictures -- 3. Random Fields -- II. The Gibbs Sampler and Simulated Annealing -- 4. Markov Chains: Limit Theorems -- 5. Sampling and Annealing -- 6. Cooling Schedules -- 7. Sampling and Annealing Revisited -- III. More on Sampling and Annealing -- 8. Metropolis Algorithms -- 9. Alternative Approaches -- 10. Parallel Algorithms -- IV. Texture Analysis -- 11. Partitioning -- 12. Texture Models and Classification -- V. Parameter Estimation -- 13. Maximum Likelihood Estimators -- 14. Spacial ML Estimation -- VI. Supplement -- 15. A Glance at Neural Networks -- 16. Mixed Applications -- VII. Appendix -- A. Simulation of Random Variables -- B. The Perron-Frobenius Theorem -- C. Concave Functions -- D. A Global Convergence Theorem for Descent Algorithms -- References 
653 |a Software engineering 
653 |a Computer simulation 
653 |a Statistics  
653 |a Software Engineering 
653 |a Radiology 
653 |a Computer Modelling 
653 |a Probability Theory 
653 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 
653 |a Automated Pattern Recognition 
653 |a Probabilities 
653 |a Pattern recognition systems 
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989 |b SBA  |a Springer Book Archives -2004 
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520 |a The book is mainly concerned with the mathematical foundations of Bayesian image analysis and its algorithms. This amounts to the study of Markov random fields and dynamic Monte Carlo algorithms like sampling, simulated annealing and stochastic gradient algorithms. The approach is introductory and elemenatry: given basic concepts from linear algebra and real analysis it is self-contained. No previous knowledge from image analysis is required. Knowledge of elementary probability theory and statistics is certainly beneficial but not absolutely necessary. The necessary background from imaging is sketched and illustrated by a number of concrete applications like restoration, texture segmentation and motion analysis