General Pattern Theory: A Mathematical Study of Regular Structures - Couverture rigide

Grenander, Ulf

 
9780198536710: General Pattern Theory: A Mathematical Study of Regular Structures

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

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)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.