Topological and geometric beautification of reverse engineered geometric models
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Detecting approximate incomplete symmetries in discrete point sets
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Detecting approximate symmetries of discrete point subsets
Computer-Aided Design
Detecting design intent in approximate CAD models using symmetry
Computer-Aided Design
A feature-based method of rapidly detecting global exact symmetries in CAD models
Computer-Aided Design
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Reverse engineering allows the geometric reconstructionof simple mechanical parts. However, the resulting modelssuffer from inaccuracies caused by errors in measurementand reconstruction so such models do not have the exactcongruences, symmetries and other regularities the originaldesigner intended. We wish to impose such regularities ina beautification process. This paper discusses the particularproblem of detecting approximate congruences betweenparts (e.g. a pair of handles) of a reconstructed B-repmodel, so that a subsequent step can enforce them exactly.A practical detection algorithm is given for models definedusing planes, spheres, cylinders, cones and tori. Analysis ofthe algorithm and experimental results show that expectedcongruences are detected reasonably quickly.