ENGLISH

General Pattern Theory: A Mathematical Study of Regular Structures

By Ulf Grenander

Book information

Publisher
Oxford University Press, USA
Year
1994
ISBN
0198536712, 9780198536710
Language
english
Format
DJVU
Filesize
13 MB (13734911 bytes)
Series
Oxford Mathematical Monographs
Pages
924\924
DPI
600
Time added
2014-03-16 17:09:10

Description

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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