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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Informatik & EDV Anwendungs-Software A Generative Theory of Shape
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A Generative Theory of Shape
Michael Leyton (Broschiert, Englisch)
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Beschreibung
The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence –(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the generative operations in the theory must allow maximal inferentiability from data sets. We shall… show that, if generativity satis?es these two basic criteria of - telligence, then it has a powerful mathematical structure and considerable applicability to the computational disciplines. The requirement of intelligence is particularly important in the gene- tion of complex shape. There are plenty of theories of shape that make the generation of complex shape unintelligible. However, our theory takes the opposite direction: we are concerned with the conversion of complexity into understandability. In this, we will develop a mathematical theory of und- standability. The issue of understandability comes down to the two basic principles of intelligence - maximization of transfer and maximization of recoverability. We shall show how to formulate these conditions group-theoretically. (1) Ma- mization of transfer will be formulated in terms of wreath products. Wreath products are groups in which there is an upper subgroup (which we will call a control group) that transfers a lower subgroup (which we will call a ?ber group) onto copies of itself. (2) maximization of recoverability is insured when the control group is symmetry-breaking with respect to the ?ber group. 106,99 €
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Technische Daten
Erscheinungsdatum
26.10.2001
Sprache
Englisch
EAN
9783540427179
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Lecture Notes in Computer Science
Sonderedition
Nein
Autor
Michael Leyton
Seitenanzahl
549
Einbandart
Broschiert
Schlagwörter
Complex Shape, Computer Vision, Editing, Erlanger Program, Geometric Invariants, Geometric Objects, Geometric Shape, Geometric Structure, Group Theory, Robot Navigation, complexity, kinematics, machine vision, robot, robotics
Thema-Inhalt
UYQV - Maschinelles Sehen, Bildverstehen
PBM - Geometrie
UX - Angewandte Informatik
UML - Grafikprogrammierung
PBG - Gruppen und Gruppentheorie
UGC - Computer-Aided Design (CAD)
Höhe
233 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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