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Sur le même sujet :
Geometric programming
Shape theory (Topology)
Forme, Théorie de la (topologie)
Programmation géométrique
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par auteur:
Leyton , Michael
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Auteur :
Leyton , Michael
Titre :
A generative theory of shape , Michael Leyton
Editeur :
Berlin New York Paris [etc.] , Springer -- cop. 2001
Description :
1 vol. (XVI-554 p.) ; 24 cm
Collection :
Lecture notes in computer science . Tutorial ; 2145
ISBN:
3-540-42717-1 , br.
Notes :
Disponible également sur le web sous le titre additionnel : "A generative theory of shape"
Bibliogr. p. [541]-548. Index
Restricted to Springer LINK subscribers http://link.springer-ny.com/link/service/series/0558/tocs/t2145.htm
The purpose of the book is to develop a generative theory of shape that has two properties regarded as fundamental to intelligence - maximizing transfer of structure and maximizing recoverability of the generative operations. These two properties are particularly important in the representation of complex shape - which is the main concern of the book. The primary goal of the theory is the conversion of complexity into understandability. For this purpose, a mathematical theory is presented of how understandability is created in a structure. This is achieved by developing a group-theoretic approach to formalizing transfer and recoverability. To handle complex shape, a new class of groups is developed, called unfolding groups. These unfold structure from a maximally collapsed version of that structure. A principal aspect of the theory is that it develops a group-theoretic formalization of major object-oriented concepts such as inheritance. The result is an object-oriented theory of geometry.The algebraic theory is applied in detail to CAD, perception, and robotics. In CAD, lengthy chapters are presented on mechanical and architectural design. For example, using the theory of unfolding groups, the book works in detail through the main stages of mechanical CAD/CAM: part-design, assembly and machining. And within part-design, an extensive algebraic analysis is given of sketching, alignment, dimensioning, resolution, editing, sweeping, feature-addition, and intent-management. The equivalent analysis is also done for architectural design. In perception, extensive theories are given for grouping and the main Gestalt motion phenomena (induced motion, separation of systems, the Johannson relative/absolute motion effects); as well as orientation and form. In robotics, several levels of analysis are developed for manipulator structure, using the author's algebraic theory of object-oriented structure.[Source : 4e de couv.]
Sujet :
Geometric
programming
Shape theory (Topology)
Forme, Théorie de la (topologie)
Programmation géométrique
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Ensea
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