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DOI:
Journal of Software:2001.12(1):111-116

隐式裁剪曲面的造型及绘制
余正生,彭群生,马利庄,吴启迪,李启炎
(同济大学 CAD研究中心,上海 200092;浙江大学 CAD&CG国家重点实验室,浙江 杭州 310027;同济大学 CIMS研究中心,上海 200092)
Modeling and Rendering of Implicit Trimmed Surfaces
YU Zhen sheng,PENG Qun sheng,MA Li zhuang,WU Qi di,LI Qi yan
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Received:February 09, 1999    Revised:November 23, 1999
> 中文摘要: 隐式曲面没有参数域的概念,故对其裁剪问题的研究,很少有人问津.提出了一种隐式裁剪曲面的造型和绘制方法:先把投影平面变换到xy平面,将该xy平面作正交化网格剖分,由参数表示或隐式表示的裁剪曲线在该xy平面定义裁剪区域,再把裁剪后留下的区域内的网格投影到隐式曲面上,从而实现了隐式裁剪曲面的多边形化绘制.
中文关键词: 隐式裁剪曲面  造型  绘制  裁剪曲线
Abstract:Implicit trimmed surfaces are rarely studied since they have no parametric domai n. A method which is related to modeling and rendering of implicit trimmed surfa ces is presented in this paper. First the projection plane is transformed into xy-plane in which the regular grids are partitioned and trimmed areas are d efined by a parametric/implicit curve, then the grids left after trimming are pr ojected onto the implicit surfaces so as to realize polygonization of the implic it trimmed surfaces.
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基金项目:国家自然科学基金资助项目(69823003);国家杰出青年基 金资助项目(68625304);国家科技部“九五”重大攻关资助项目(96-A01-02-01);中国博 士后科学基金资助项目 国家自然科学基金资助项目(69823003);国家杰出青年基 金资助项目(68625304);国家科技部“九五”重大攻关资助项目(96-A01-02-01);中国博 士后科学基金资助项目
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余正生,彭群生,马利庄,吴启迪,李启炎.隐式裁剪曲面的造型及绘制.软件学报,2001,12(1):111-116

YU Zhen sheng,PENG Qun sheng,MA Li zhuang,WU Qi di,LI Qi yan.Modeling and Rendering of Implicit Trimmed Surfaces.Journal of Software,2001,12(1):111-116