| 用有理双三次Bezier曲面片混合二次曲面 |
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| 引用本文： | 方美娥,汪国昭.用有理双三次Bezier曲面片混合二次曲面[J].计算机辅助设计与图形学学报,2007,19(9):1148-1153. |
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| 作者姓名： | 方美娥 汪国昭 |
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| 作者单位： | [1]杭州电子科技大学计算机学院,杭州310018 [2]浙江大学数学系计算机图形图象研究所,杭州310027 |
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| 基金项目： | 国家自然科学基金（60473130）;国家“九七三”重点基础研究发展规划项目（G2004CB318000）. |
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| 摘 要： | 提出一种二次曲面混合方法，混合曲面由2张有理双三次B6zier曲面片构成，它们之间保持G^2连续，混合曲面与二次曲面间保持G^1连续．给出了混合曲面片控制顶点的显式表示，通过修改2类混合参数可以直观地调节混合方向及混合曲面的形状．另外，混合5个圆锥曲面的例子表明，该方法为多个二次曲面的混合问题提供了有效途径．
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| 关 键 词： | 混合 G^1连续 G^2连续 二次曲面 有理双三次Bezier曲面 |
| 收稿时间： | 2006-09-19 |
| 修稿时间： | 2006-09-192007-06-14 |
Blending Quadric Surfaces with Rational Bicubic Bezier Patches |
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| Fang Meie, Wang Guozhao.Blending Quadric Surfaces with Rational Bicubic Bezier Patches[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(9):1148-1153. |
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| Authors: | Fang Meie Wang Guozhao |
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| Affiliation: | 1.College of Computer , Hangzhou Dianzi University, Hangzhou 310018;2.Institute of Computer and lmage Processing , Department of Mathematics, Zhejiang University, Hangzhou 310027 |
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| Abstract: | A method of blending two quadric surfaces is presented. The blending surface consists of two rational bicubic Bezier patches. G^2 continuous contact is achieved between two patches and G^1 between the blending surface and each quadric. Explicit representations of control points of two patches are given. The blending direction and the shape of the blending surface can be intuitively adjusted through adapting two types of blending parameters. In addition, an example of blending five cones illustrates that this method provides an effective way for the n-way blending problem of quadrics. |
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| Keywords: | blending G^1 continuity G^2 continuity quadrics rational bicubic Bezier patches |
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