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  • © 2003

Image Analysis, Random Fields and Markov Chain Monte Carlo Methods

A Mathematical Introduction

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Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 27)

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Table of contents (22 chapters)

  1. Front Matter

    Pages I-XVI
  2. Introduction

    1. Introduction

      • Gerhard Winkler
      Pages 1-5
  3. Bayesian Image Analysis: Introduction

    1. Front Matter

      Pages 7-7
    2. The Bayesian Paradigm

      • Gerhard Winkler
      Pages 9-28
    3. Cleaning Dirty Pictures

      • Gerhard Winkler
      Pages 29-53
    4. Finite Random Fields

      • Gerhard Winkler
      Pages 55-72
  4. The Gibbs Sampler and Simulated Annealing

    1. Front Matter

      Pages 73-73
    2. Markov Chains: Limit Theorems

      • Gerhard Winkler
      Pages 75-112
    3. Gibbsian Sampling and Annealing

      • Gerhard Winkler
      Pages 113-128
    4. Cooling Schedules

      • Gerhard Winkler
      Pages 129-140
  5. Variations of the Gibbs Sampler

    1. Front Matter

      Pages 141-141
    2. Gibbsian Sampling and Annealing Revisited

      • Gerhard Winkler
      Pages 143-151
    3. Partially Parallel Algorithms

      • Gerhard Winkler
      Pages 153-158
    4. Synchronous Algorithms

      • Gerhard Winkler
      Pages 159-175
  6. Metropolis Algorithms and Spectral Methods

    1. Front Matter

      Pages 177-177
    2. Metropolis Algorithms

      • Gerhard Winkler
      Pages 179-196
    3. Eigenvalues, Sampling, Variance Reduction

      • Gerhard Winkler
      Pages 203-207
    4. Continuous Time Processes

      • Gerhard Winkler
      Pages 209-213
  7. Texture Analysis

    1. Front Matter

      Pages 215-215

About this book

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.

Reviews

From the reviews of the second edition:

"This book is concerned with a probabilistic approach for image analysis, mostly from the Bayesian point of view, and the important Markov chain Monte Carlo methods commonly used in this approach. … this book will be useful, especially to researchers with a strong background in probability and an interest in image analysis. The author has presented the theory with rigor … . he doesn’t neglect applications, providing numerous examples of applications to illustrate the theory and an abundant bibliography pointing to more detailed related work." (Pham Dinh Tuan, Mathematical Reviews, Issue 2004 c)

"Based on the Baysian approach the author focuses on the principles of classical image analysis rather than on applications and implementations. Little mathematical knowledge is needed to read the book, thus it is well suited for lectures on image analysis." (Ch. Cenker, Monatshefte für Mathematik, Vol. 146 (4), 2005)

Authors and Affiliations

  • IBB — Institute of Biomathematics and Biometry, GSF — National Research Centre for Environment and Health, Neuherberg/München, Germany

    Gerhard Winkler

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access