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胡事民

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期刊论文

A constructive approach to solving 3-D geometric constraint systems using dependence analysis

胡事民Yan-Tao Li* Shi-Min Hu Jia-Guang Sun

Computer-Aided Design 34(2002)97-108,-0001,():

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摘要/描述

Solving geometric constraint systems in 3-D is much more complicated than that in 2-D because the number of variables is larger and some of the results valid in 2-D cannot be extended for 3-D. In this paper, we propose a new DOF based graph constructive method to geometric constraint systems solving that can efficiently handle well-, over-and under-constrained systems based on the dependence analysis. Tile basic idea is that the solutions of some geometric elements depend on some others because of the constraints between them. if some geometric elements depend on each other, they must be solved together, in our approach, we first identify all structurally redundant constraints, then we add some constraints to well constrain the system. And we prove that the order of a constraint system after processing-under constrained cases is not more than that of the original system multiplied by 5. After that, we apply a recursive searching process to identify all the clusters, which is shown to be capable of getting the mimimum order-reduction result of a well constrained system. We also briefly describe tile constraint evaluation phase and show the implementation results of our method.

【免责声明】以下全部内容由[胡事民]上传于[2006年07月12日 22时33分55秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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