Image Analysis, Random Fields and Dynamic Monte Carlo Methods: A Mathematical Introduction (Stochastic Modelling and Applied Probability)

Winkler, Gerhard

ISBN 10: 3642975240 / ISBN 13: 9783642975240

Editore: Springer, 2012

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Dati bibliografici

• Titolo: Image Analysis, Random Fields and Dynamic Monte Carlo Methods: A Mathematical Introduction (Stochastic Modelling and Applied Probability)
• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3642975240
• ISBN 13: 9783642975240
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

The text presents Bayesian image analysis and dynamic Monte Carlo algorithms from the mathematical point of view. The subject is introduced at a moderate pace and the proofs are thorough. Specific models are developed step by step and discussed.

Dalla quarta di copertina

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.