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 自动化技术、电信技术

1. 浙江大学 建筑工程学院,浙江 杭州 310058
2. 浙江财经大学 城乡规划与管理学院,浙江 杭州 310018
Grid generation on free-form surface based on surface flattening
PAN Wei, WU Hui, LI Tie rui, GAO Bo qing
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China;
2. Business Administration College, Zhejiang University of Finance and Economics, Hangzhou 310018,China
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Abstract:

A method based on surface flattening and mapping theory was proposed in order to realize grid generation on free-form surface. The parametric domain of freeform surface was divided into the given number in both directions, and these discrete points were mapped back to free-form surface so as to generate rectangular lattices on the surface. Surface flattening can be realized by making efforts to flat the rectangular lattices. The diagonal line on the free-form surface was regarded as the base line. The surface was flatted starting from the center point, from inside to outside, based on the rule of minimum area variation. The provided flattening method can reflect the shape, trend and area distribution of free-form surface well. Then the flatted rectangular lattices were fitted into a two-dimensional surface. The two-dimensional surface was divided into 6 parts from the center point with the same angle. Considering the different boundary conditions, the line advancing method was adopted to generate triangular grids for each part. Grid generation was realized for the whole two-dimensional surface. The two-dimensional grids were mapped back to the free form surface based on the constant topology. The proposed method can apply to many different cases, and the grids generated by the method have advantages of fluent lines and uniform sizes.

 : TU 311

国家自然科学基金资助项目（51378457）；浙江省自然科学基金资助项目（LY15E080017）.

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PAN Wei, WU Hui, LI Tie rui, GAO Bo qing. Grid generation on free-form surface based on surface flattening. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 10.3785/j.issn.1008-973X.2016.10.018.

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