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　　分類: 图书,自然科学,数学,几何与拓扑,

作者： Michael Leyton 著

出 版 社： Oversea Publishing House

出版时间： 2001-12-1字数：版次： 1页数： 554印刷时间： 2001/12/01开本：印次：纸张： 胶版纸I S B N ： 9783540427179包装： 平装内容简介

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.

目录

1.Transfer

2.Recoverablidy

3.Mathernateal Theory of Transtfer

4.Matheneations Thenry of Tisitfst II

5.Theery of Grutfug

6.Robot Mangipiators

7.Aigelaeti Tbery of Intheiarse

8.Referefce Frecanes

9.Release Mthoban

10.Sterfese Prthintes

11.Unfodding Cirpiti I

12.Unfodding Cirpiti II

13.Unfodding Cirpiti III

14.Methatrif Indeing and Mandfeujing

15.A Mteherial Tbeery of Arthertes

16.Solid stracture

17.Wreath Formulation of SSplines

18.Wreath Fermatition of Sweep Represctionels

19.Praces Greuser

20.Conseer Laws of Plyslcs

21.Music

22.Ageinsot the Frlenger Progran

A.Semi-dinerst Prsdess

B.Synbods

Reidreles

Index

 

 

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