| 有理Bézier曲线离散终判准则的改进 |
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| 引用本文： | 章仁江,王国瑾.有理Bézier曲线离散终判准则的改进[J].软件学报,2003,14(10):1813-1818. |
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| 作者姓名： | 章仁江 王国瑾 |
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| 作者单位： | 1. 浙江大学计算机图象图形研究所,浙江,杭州,310027;浙江大学CAG&CG国家重点实验室,浙江,杭州,310027;中国计量学院,数学系,浙江,杭州,310034
2. 浙江大学计算机图象图形研究所,浙江,杭州,310027;浙江大学CAG&CG国家重点实验室,浙江,杭州,310027 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No.60173034(国家自然科学基金);the NationalGrand Fundamental Research 973 Program of China under Grant No.2002CB312101(国家重点基础研究发展规划(973)) |
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| 摘 要： | 应用有理Bézier曲线形式转化和表达式简化的新思想,应用Cauchy不等式,对于几何外形设计中最常用的有理n(n=2,3,4)次Bézier曲线的高度,作出了新的精密估计,从而进一步改进了以往有关有理Bézier曲线的离散终判准则.这些改进对减少机时、提高效率有着至关重要的作用.
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| 关 键 词： | 有理Bézier曲线 离散 终判准则 |
| 收稿时间： | 4/9/2002 12:00:00 AM |
| 修稿时间： | 2002年4月9日 |
Improvement of the Termination Criterion for Subdivision of the Rational Bézier Curves |
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| ZHANG Ren-Jiang and WANG Guo-Jin.Improvement of the Termination Criterion for Subdivision of the Rational Bézier Curves[J].Journal of Software,2003,14(10):1813-1818. |
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| Authors: | ZHANG Ren-Jiang and WANG Guo-Jin |
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| Abstract: | By using some new ideas of form conversion and expression simplification for rational Bézier curves, also by using Cauchy's inequality, some new close estimates for the heights of degree n (n=2,3,4) rational Bézier curves which are in common use in geometric shape design are investigated. Thus the former termination criterions for subdivision of rational Bézier curves are improved. This work is very valuable for reducing computing time and increasing efficiency. |
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