文章基本信息

标题：Quality Improvement Algorithm for Tetrahedral Mesh Based on Optimal Delaunay Triangulation
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作者：Shuli Sun ; Haoran Bao ; Minghui Liu 等
期刊名称：Intelligent Information Management
印刷版ISSN：2150-8194
电子版ISSN：2150-8208
出版年度：2013
卷号：05
期号：06
页码：191-195
DOI：10.4236/iim.2013.56021
语种：English
出版社：Scientific Research Publishing
摘要：The concept of optimal Delaunay triangulation (ODT) and the corresponding error-based quality metric are first introduced. Then one kind of mesh smoothing algorithm for tetrahedral mesh based on the concept of ODT is examined. With regard to its problem of possible producing illegal elements, this paper proposes a modified smoothing scheme with a constrained optimization model for tetrahedral mesh quality improvement. The constrained optimization model is converted to an unconstrained one and then solved by integrating chaos search and BFGS (Broyden-Fletcher-Goldfarb-Shanno) algorithm efficiently. Quality improvement for tetrahedral mesh is finally achieved by alternately applying the presented smoothing scheme and re-triangulation. Some testing examples are given to demonstrate the effectiveness of the proposed approach.
关键词：Tetrahedral Mesh; Mesh Quality Improvement; Smoothing; Topological Optimization; Optimal Delaunay Triangulation