计算机应用研究2011，Vol.28Issue(2)：792-793,2.DOI:10.3969/j.issn.1001-3695.2011.02.110
流形网格上Bézier曲线的生成
Generation of Bézier curve on manifold meshes
摘要
Abstract
Aiming at the problem that classical simple comer-cutting method was not used on manifold meshes, this paper gave a simple corner-cutting method on manifold meshes. Edges that were used in this method were discrete geodesic. Edges that were used in classical simple corner-cutting method were straight segment. It constructed Bézier curves on manifold meshes by using the algorithm. Main method of generating curve was geometrical method, but not method of parameter. Geodesic Bézier curves were suitable for designing free curves on manifold meshes. Under Visual C + + 6.0, gave some examples of Bézier curve on discrete surface in OpenGL. Examples show that the algorithm is correct, stable, fast and easy in implementation. There is a good effect of simulation for all examples.关键词
流形/网格/离散测地线/简单割角法/Bézier曲线分类
数理科学引用本文复制引用
杜宏云,唐月红..流形网格上Bézier曲线的生成[J].计算机应用研究,2011,28(2):792-793,2.基金项目
国家自然科学基金资助项目(60711240471) （60711240471）
