CONSTRAINT DEFINITION SYSTEM - A COMPUTER-ALGEBRA BASED APPROACH TO SOLVING GEOMETRIC-CONSTRAINT PROBLEMS

被引:0
作者
BUCHANAN, SA
DEPENNINGTON, A
机构
关键词
GEOMETRIC CONSTRAINTS; GROBNER BASIS; COMPUTER ALGEBRA; VARIATIONAL GEOMETRY; NONLINEAR EQUATIONS; NEWTON-RAPHSON METHOD; POLYNOMIAL SYSTEMS;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
During the computer-aided design of assemblies, or of single objects composed of primitive elements, the positions of their constituent parts must be determined. These parts can be positioned absolutely in terms of some coordinate system, or relatively in terms of the relationships or constraints that implicitly exist between their constituents. Despite having many advantages, the latter approach presents computational problems which have resulted in its limited acceptance. The paper describes a system which uses techniques from computer algebra to avoid these problems, and discusses its advantages and disadvantages.
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页码:741 / 750
页数:10
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