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论文类型：期刊论文

发表时间：2013-10-01

发表刊物：INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

收录刊物：SCIE、EI、Scopus

卷号：21

期号：7

页面范围：1169-1182

ISSN号：1741-5977

关键字：mesh parameterization; inverse finite element method; surface parameterization; mesh generation; surface reconstruction

摘要：A novel mesh parameterization (MP) method based on inverse finite element method (IFEM), called MP-IFEM, is proposed in this article. Unlike traditional methods, the geometry surface is considered to own real physical properties and can undergo large plastic deformation based on the shell theory. It can be unfolded into a two-dimensional planar domain under a given pressure. This method can quickly obtain a more accurate unfolding surface from an open surface with arbitrary topology meshed by triangular or quadrilateral meshes. MP-IFEM is robust enough to deal with 100,000 elements within about 2min. In order to reduce the folds and to keep global bijectivity, a step by step unfolding technique is also developed for unfolding complex surfaces.