General Pattern Theory: A Mathematical Study of Regular Structures (Oxford Mathematical Monographs) - Hardcover

Grenander, Ulf

 
9780198536710: General Pattern Theory: A Mathematical Study of Regular Structures (Oxford Mathematical Monographs)
Hardcover
ISBN 10: 0198536712 ISBN 13: 9780198536710
Publisher: Clarendon Press, 1994

Synopsis

The aim of pattern theory is to create mathematical knowledge representations of complex systems, analyze the mathematical properties of the resulting regular structures, and to apply them to practically occurring patterns in nature and the man-made world. Starting from an algebraic formulation of such representations they are studied in terms of their topological, dynamical and probabilistic aspects. Patterns are expressed through their typical behavior as well as through their variability around their typical form. Employing the representations (regular structures) algorithms are derived for the understanding, recognition, and restoration of observed patterns. The algorithms are investigated through computer experiments. The book is intended for statisticians and mathematicians with an interest in image analysis and pattern theory.

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About the Author

Ulf Grenander, Emeritus Professor, Division of Applied Mathematics, Brown University, Rhode Island.

"About this title" may belong to another edition of this title.

Publisher
Clarendon Press
Publication date
1994
Language
English
ISBN 10 
0198536712
ISBN 13 
9780198536710
Binding
Hardcover
Edition number
1
Number of pages
906