吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (5): 1583-1590.doi: 10.13229/j.cnki.jdxbgxb201705034

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Identification and process of under- and over-constrained geometric constraint systems based on bipartite graph model

LI Wen-hui1, SUN Ming-yu1, XU Guang-xing2, CAO Chun-hong2   

  1. 1.College of Computer Science and Technology, Jilin University, Changchun 130012, China;
    2. College of Computer Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2016-06-12 Online:2017-09-20 Published:2017-09-20

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Abstract: In this paper, a geometric constraint system is represented by a bipartite graph model, which expresses geometric primitive parameters and basic geometric constraints, and a new Geometric Constraint Solving (GCS) method based on the maximum matching of bipartite graph is proposed. The under- and over-constrained sub-domains are identified by using the bipartite graph decomposition method. An under-constrained sub-domain is processed by introducing the geometric constraint priority and improving the geometric constraint assembly mechanism. The consistent and inconsistent over-constraints are identified by the modified artificial bee colony algorithm, and the identified over-constrained sub-domain is also effectively processed. Research results show that the GCS method based on the new bipartite graph model is effective.

Key words: computer application, geometric constraint solving, bipartite graph decomposition, under-constrained sub-domain, over-constrained sub-domain

CLC Number: 

  • TP391.7
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