| 三向四次箱样条曲面与Bezier曲面的光滑拼接 |
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| 引用本文： | 杨联强,王东.三向四次箱样条曲面与Bezier曲面的光滑拼接[J].计算机工程与应用,2013(23):119-121,126. |
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| 作者姓名： | 杨联强 王东 |
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| 作者单位： | 安徽大学数学科学学院,合肥230601 |
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| 基金项目： | 国家自然科学基金数学天元基金项目（No.11026076）;安徽大学博士科研经费项目（No.31190016）;安徽大学本科生科研训练计划（No.KYXL20110003）. |
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| 摘 要： | 以二元四次多项式在三角域和矩形域上的Bezier形式的Blossom为工具，给出了当给定一张三向四次箱样条曲面时，能与之C^0、C^1、C^2拼接的三边或矩形Bezier曲面的控制顶点所要满足的一个显式表示的充分条件。这一结果在使用三向四次箱样条曲面或Loop细分曲面造型，而又需要构造Bezier曲面与之拼接或补洞时，具有理论和实际应用价值。
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| 关 键 词： | 三向四次箱样条曲面 Bezier曲面 光滑拼接 |
Smooth connection between 3-direction quartic box spline surfaces and Bezier surfaces |
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| YANG Lianqiang,WANG Dong.Smooth connection between 3-direction quartic box spline surfaces and Bezier surfaces[J].Computer Engineering and Applications,2013(23):119-121,126. |
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| Authors: | YANG Lianqiang WANG Dong |
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| Affiliation: | ( School of Mathematical Science, Anhui University, Hefei 230601, China) |
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| Abstract: | Using bivariate quartic polynomial＇ s Blossom over triangular and rectangular domains, when a 3-direction quartic box spline surface is given, in order to make triangular or rectangular B6zier surface to be C^0, C^1, C^2 connected with it , one kind of explicit sufficient condition of the B6zier surface＇ s control points which should be subjected is discussed. When geometric modeling with 3-direction quartic box spline surface or Loop subdivision surface, this conclusion is valuable for making Bdzier surface to be smooth connected with the modeling surface or to fill holes. |
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| Keywords: | 3-direction quartic box spline surface B6zier surface smooth connection |
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