
General Pattern Theory
A Mathematical Study of Regular Structures
Ulf Grenander(Author)
Clarendon Press
Published on 20. January 1994
Book
Hardback
906 pages
978-0-19-853671-0 (ISBN)
Description
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 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.
Reviews / Votes
this is an important book that should richly reward the persistent reader * B.D. Ripley, University of Oxford, JRSS, Sories A, Vol. 158, Part 3, 1995 * an imprssive new synthesis ... It clearly represents the bible of pattern theory, and from that perspective one cannot but recommend it. * D.J. Hand, The Open University, International Statistical Institute, Vol. 14, No. 3 - December 1994 *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
College/higher education
Professional and scholarly
Illustrations
16 colour plates, numerous black and white figures, tables
Dimensions
Height: 260 mm
Width: 208 mm
Thickness: 53 mm
Weight
2157 gr
ISBN-13
978-0-19-853671-0 (9780198536710)
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Schweitzer Classification
Person
Author
Emeritus Professor, Division of Applied MathematicsEmeritus Professor, Division of Applied Mathematics, Brown University, Rhode Island
Content
PART I: PATTERN ALGEBRA ; PART II: PATTERN TOPOLOGY ; PART III: PATTERN DYNAMICS ; PART IV: METRIC PATTERN THEORY ; PART V: PATTERN DEFORMATIONS ; PART VI: PATTERN INFERENCE ; PART VII: CREATING REGULAR STRUCTURES