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A new approach to fully automatic mesh generation

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Abstract

Automatic mesh generation is one of the most important parts in CIMS (Computer Integrated Manufacturing System). A method based on mesh grading propagation which automatically produces a triangular mesh in a multiply connected planar region is presented in this paper. The method decomposes the planar region into convex subregions, using algorithms which run in linear time. For every subregion, an algorithm is used to generate shrinking polygons according to boundary gradings and form Delaunay triangulation between two adjacent shrinking polygons, both in linear time. It automatically propagates boundary gradings into the interior of the region and produces satisfactory quasi-uniform mesh.

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Min Weidong is a Lecturer in the Department of Computer Science and Technology, Tsinghua University. He received his B.E., M.E. and Ph.D. degrees from Tsinghua University in 1989, 1991 and 1995, respectively. His research interests include computational geometry, computer graphics and computer aided design. He is currently a postdoctor in the University of alberta in Canada (Email: weidong@cs.ualberta.ca).

Tang Zesheng is a Professor of Department of Computer Science and Technology, Tsinghua University. From 1985 to 1986, he visited The University of Michigan and worked in XEROX Palo Alto Research Center in California. His current research interests include scienctific visualization and computational geometry. He is the Vice Chairman of CAD and Computer Graphics Society of China Computer Federation, and a member of the Computer Engineering and Application Society of China Electronic Institute.

Zhang Zhengming is an Assistant Lecturer. He obtained his B.E. and M.E. degrees from Tsinghua University in 1990 and 1993, respectively. His current research area is structure analysis of nuclear reactor.

Zhou Yu is a Associate Professor. He obtained his B.E. degree from Peking University in 1982 and his M.E. degree from Tsinghua University in 1988. his research area is structure analysis of nuclear reactor.

Wang Minzhi is a Lecturer. She received her B.E. and M.E. degrees from Tsinghua University in 1988 and 1993, respectively. Her current research area is structure analysis of nuclear reactor.

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Min, W., Tang, Z., Zhang, Z. et al. A new approach to fully automatic mesh generation. J. of Comput. Sci. & Technol. 10, 491–508 (1995). https://doi.org/10.1007/BF02943508

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