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| 多项式混合曲线曲面方法构造 | |
| 引用本文： | 李重,金小刚,马利庄,Dereck Meek.多项式混合曲线曲面方法构造[J].计算机辅助设计与图形学学报,2009,21(5). |
| 作者姓名： | 李重 金小刚 马利庄 Dereck Meek |
| 作者单位： | 1. 浙江理工大学数学科学系,杭州,310018;浙江大学CAD & CG国家重点实验室,杭州,310058 2. 浙江大学CAD & CG国家重点实验室,杭州,310058 3. 上海交通大学计算机科学与工程系,上海,200030 4. Department of Computer Science,University of Manitoba,Winnipeg,R3T 2N2 Canada |
| 基金项目： | 国家自然科学基金重点项目，浙江大学CAD&CG国家重点实验室开放课题，浙江理工大学先进纺织材料与制备技术教育部重点实验室优秀青年人才基金 |
| 摘 要： | 针对混合曲线表示及其求导和求积困难的问题,通过计算构造出一种多项式混合曲线曲面形式.当待混合曲线是多项式时,混合曲线也为多项式形式.该多项式混合公式可以推广得到任意参数连续C(n)和几何连续G(n)的混合曲线曲面.另外,在得到的混合曲线曲面族中构造出了新的更优能量光顺方程,通过设置参数可得到合适的混合曲线曲面.实验结果表明,文中提出的混合曲线曲面造型方法稳定、有效. |
| 关 键 词： | 混合曲线曲面 多项式曲线曲面 能量方程 参数连续 几何连续 |
Construction of Polynomial Blending Curves and Surfaces |
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| Li Zhong,Jin Xiaogang,Ma Lizhuang,Dereck Meek.Construction of Polynomial Blending Curves and Surfaces[J].Journal of Computer-Aided Design & Computer Graphics,2009,21(5). | |
| Authors: | Li Zhong Jin Xiaogang Ma Lizhuang Dereck Meek |
| Affiliation: | Department of Mathematics and Science;Zhejiang Sci-Tech University;Hangzhou 310018;State Key Laboratory of CAD & CG;Zhejiang University;Hangzhou 310058;Department of Computer Science and Engineering. Shanghai Jiaotong University;Shanghai 200030; Department of Computer Science;University of Manitoba;Winnipeg RZT 2N2 Canada |
| Abstract: | As the traditional blending curve has difficulty for computing its derivative and integral,this paper presents a new presentation for polynomial blending curve and surface. If the curve or surface to be blended is polynomial,the blending curve or surface is also the polynomial. This blending formula can be extended for the blending curve and surface with any parametric continuity C(n) and geometric continuity G(n). After obtaining a family of blending curves and surfaces,we construct a new energy smoothing ... |
| Keywords: | blending curve and surface polynomial curve and surface energy equation parametric continuity geometric continuity |
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