形状生成理论A generative theory of shape

2001-11  

Oversea Publishing House  

Michael Leyton  

554  

In this book, the author develops a generative theory of shape with two properties fundamental to intelligence: maximizing transfer of structure, and maximizing recoverability of generative operations. The theory is applied in considerable detail to CAD, perception, and robotics. A significant aspect of this book is the development of an object-oriented theory of geometry. This includes a group-theoretic formulation of object-oriented inheritance. In particular, a class of groups is developed called "unfolding groups", which define any complex shape as unfolded from a maximally collapsed version of itself called an "alignment kernel". The group is decomposed into levels corresponding to the inheritance hierarchy within the complex object. This achieves one of the main goals of the theory - the conversion of complexity into understandability. The advantages of the theory are demonstrated with lengthy studies of robot manipulators, perceptual organization, constructive solid geometry, assembly planning, architectural CAD, and mechanical CAD/CAM.

1.Transfer2.Recoverablidy3.Mathernateal Theory of Transtfer 4.Matheneations Thenry of Tisitfst II5.Theery of Grutfug6.Robot Mangipiators7.Aigelaeti Tbery of Intheiarse8.Referefce Frecanes9.Release Mthoban10.Sterfese Prthintes11.Unfodding Cirpiti I12.Unfodding Cirpiti II13.Unfodding Cirpiti III14.Methatrif Indeing and Mandfeujing15.A Mteherial Tbeery of Arthertes16.Solid stracture17.Wreath Formulation of SSplines18.Wreath Fermatition of Sweep Represctionels19.Praces Greuser20.Conseer Laws of Plyslcs21.Music22.Ageinsot the Frlenger ProgranA.Semi-dinerst PrsdessB.SynbodsReidrelesIndex

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