General Pattern Theory: A Mathematical Study of Regular Structures

Hardcover | May 1, 1979

byUlf Grenander

not yet rated|write a review
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 therepresentations (regular structures) algorithms are derived for the understanding, recognition, and restoration of observed patterns. The algorithms are investigated through computer experiments.

Pricing and Purchase Info

$555.00

Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

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 studie...

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

other books by Ulf Grenander

A Calculus of Ideas: A Mathematical Study of Human Thought
A Calculus of Ideas: A Mathematical Study of Human Thou...

Kobo ebook|Aug 10 2012

$78.89 online$102.36list price(save 22%)
Pattern Theory: From representation to inference
Pattern Theory: From representation to inference

Hardcover|Jan 3 2007

$157.50 online$315.00list price(save 50%)
Probabilities on Algebraic Structures
Probabilities on Algebraic Structures

Paperback|Feb 4 2008

$16.95

Format:HardcoverDimensions:904 pages, 9.65 × 9.65 × 0.01 inPublished:May 1, 1979Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198536712

ISBN - 13:9780198536710

Look for similar items by category:

Customer Reviews of General Pattern Theory: A Mathematical Study of Regular Structures

Reviews

Extra Content

Table of Contents

Part I: Pattern Algebra1. Generators and configurations2. Images and patternsPart II: Pattern Topology3. Some topologies on regular structuresPart III: Pattern Dynamics4. Abstract biological patterns5. Patterns of collective behaviour6. Patterns generated from extremum principlesPart IV: Metric Pattern Theory7. General principles of MPT8. Pattern synthesis9. First limit problem in MPT10. Second limit problem in MPT11. Mixed limit problem in MPTPart V: Pattern Deformations12. Chapter 12: Deformation mechanismsPart VI: Pattern Inference13. Ends and means in pattern analysis14. Bayesian pattern inference15. Lattice-based models16. Continuum-based models17. Non-Bayesian pattern inference18. Pattern recognitionPart VII: Creating Regular Structures19. Creating generators20. Creating acceptor functions and connectors

Editorial Reviews

`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