General Pattern Theory (Hardcover)

Ulf Grenander

ISBN 10: 0198536712 / ISBN 13: 9780198536710

Published by Oxford University Press, Oxford, 1994

About this Item

Hardcover. The aim of pattern theory is to create mathematical knowledge representations of complex systems, analyse the mathematical properties of the resulting regular structures, and to apply them to practically occuring 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 behaviour as wellas through their variability around their typical form. Employing the representations (regular structures) algorithms are derived for the understanding, recognition, and restoration of observedpatterns. The algorithms are investigated through computer experiments. The aim of pattern theory is to create mathematical knowledge representations of complex systems, analyse the mathematical properties of the resulting regular structures, and to apply them to practically occuring patterns in nature and the man-made world. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780198536710

Bibliographic Details

• Title: General Pattern Theory (Hardcover)
• Publisher: Oxford University Press, Oxford
• Publication Date: 1994
• Language: English
• ISBN 10: 0198536712
• ISBN 13: 9780198536710
• Binding: Hardcover
• Condition: new

About this title

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.

About the Author

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