Pattern Theory: The Stochastic Analysis of Real-World Signals

Front Cover
CRC Press, Aug 9, 2010 - Computers - 375 pages
Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis o
 

Contents

0 What is Pattern Theory?
1
1 English Text and Markov Chains
17
2 Music and Piecewise Gaussian Models
61
3 Character Recognition and Syntactic Grouping
111
4 Image Texture Segmentation and Gibbs Models
173
5 Faces and Flexible Templates
249
6 Natural Scenes and Multiscale Analysis
317
Bibliography
387
Back Cover
409
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About the author (2010)

David Mumford is a professor emeritus of applied mathematics at Brown University. His contributions to mathematics fundamentally changed algebraic geometry, including his development of geometric invariant theory and his study of the moduli space of curves. In addition, Dr. Mumford's work in computer vision and pattern theory introduced new mathematical tools and models from analysis and differential geometry. He has been the recipient of many prestigious awards, including U.S. National Medal of Science (2010), the Wolf Foundation Prize in Mathematics (2008), the Steele Prize for Mathematical Exposition (2007), the Shaw Prize in Mathematical Sciences (2006), a MacArthur Foundation Fellowship (1987-1992), and the Fields Medal (1974).

Agnes Desolneux is a researcher at CNRS/Universite Paris Descartes. A former student of David Mumford's, she earned her Ph.D. in applied mathematics from CMLA, ENS Cachan. Dr. Desolneux's research interests include statistical image analysis, Gestalt theory, mathematical modeling of visual perception, and medical imaging.