| 摘要: |
| 介绍了一种在控制三角形网格上创建光滑样条曲面的算法,该控制网格能够刻画具有或没有边界的任意自由曲面.生成的曲面有一个4次参数多项式表示并且被表示成一个切平面连续的三角形Bézier片网.曲面对网格的逼近程度受到一个混合比控制,当混合比为0时,产生的曲面插值网格.该算法是一种局部方法,简单且效率高,适合于外形设计. |
| 关键词: 样条曲面 控制三角形网格 三角形Bézier片 几何连续性 混合比 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Smooth Spline Surfaces over Arbitrary Topological Triangular Meshes |
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FENG Ren-Zhong,WANG Ren-Hong
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| Abstract: |
| The paper introduces an algorithm for creating smooth spline surfaces over control triangular meshes capable of outlining arbitrary free-form surfaces with or without boundary. The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches. The approximation of resulting surface to mesh is controlled by a blend ratio; when the blend ratio is zero, surfaces interpolate meshes. The algorithm is a local method, simple, efficient and fit for appearance design. |
| Key words: spline surface control triangular mesh triangular Bezier patch geometric continuity blend ratio |
