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论文类型：期刊论文

发表时间：2013-01-15

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI

卷号：219

期号：10

页面范围：5339-5344

ISSN号：0096-3003

关键字：Triangular mesh; Parameterization; 4-point interpolatory subdivision; Approximation; Texture mapping

摘要：In this paper we present a novel fast mesh parameterization algorithm based on subdivision scheme. First, an algorithm of approximating a given triangular mesh by the 4-point interpolatory subdivision is proposed, then a mesh parameterization method is developed based on the subdivision surface approximation algorithm. The novel mesh parameterization method is a generalization of the chordal parameterization to surface case, and it is more computationally efficient than previous methods because it obviates any computation of linear system of equations. Some numerical experiments show the efficiency of the novel algorithm. (C) 2012 Elsevier Inc. All rights reserved.