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隐式裁剪曲面的造型及绘制

         

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.%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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