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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：International Journal of Applied Mathematics and Statistics

收录刊物：EI、Scopus

卷号：40

期号：10

页面范围：152-160

ISSN号：09731377

摘要：In combination with divide-and-conquer strategy and multi-resolution sampling technology, a fast method for calculating the closest distance between Catmull-Clark subdivision surfaces is proposed. First, a data structure of subdivision surface is established to implement piecewise representation of subdivision surface. Based on divide-and-conquer strategy, the closest distance between subdivision surfaces can be obtained from closest distance calculation between subdivision surface patches. Second, based upon features of the topological structure of subdivision surface patch, the multi-resolution sampling method is established, with a method proposed for searching the vertex closest to a spatial point within the subdivision surface patches. Last, a method for searching the closest distance point pair between subdivision surfaces is established. The presented method is tested with examples to verify the feasibility and availability of the algorithm. The test result shows that this calculation method is more accurate and efficient. ? 2013 by CESER Publications.