Approximate Congruence Detection of Model Features for Reverse Engineering
SMI '03 Proceedings of the Shape Modeling International 2003
Automated symmetry exploitation in engineering analysis
Engineering with Computers
Detecting approximate incomplete symmetries in discrete point sets
Proceedings of the 2007 ACM symposium on Solid and physical modeling
IEEE Transactions on Computers
Detecting approximate symmetries of discrete point subsets
Computer-Aided Design
Repairing CAD model errors based on the design history
Computer-Aided Design
Detecting design intent in approximate CAD models using symmetry
Computer-Aided Design
Constructing regularity feature trees for solid models
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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Detecting global exact symmetries in CAD models is of great importance in the research of CAD/CAE integration. Therefore, a method is proposed in this paper to rapidly detect the global exact rotational and reflectional symmetries in feature-based CAD models. The theories of determining the symmetries of the Boolean combinations of the features are framed. Based on these theories, our approach is processed as follows. First, the features of the CAD models are classified into congruent feature sets. Next, through the study on the relationship between feature information and the symmetries of features, by using only feature information, as many symmetries of the feature sets as possible are detected. Then these feature sets are sorted into an ordered sequence. Finally, symmetries of the entire model can be derived by successively merging and verifying the symmetries of feature sets in the ordered sequence. Experimental results show that the global exact symmetries can be robustly and rapidly detected.