| 空间有理参数多项式曲线的整数级绘制算法 |
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| 引用本文： | 王丹,周美英,康宝生. 空间有理参数多项式曲线的整数级绘制算法[J]. 纯粹数学与应用数学, 2003, 19(4): 318-323 |
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| 作者姓名： | 王丹 周美英 康宝生 |
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| 作者单位： | 1. 西北大学数学系,西安,710069
2. 陕西铁路工程职业技术学院,渭南,714000 |
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| 基金项目： | 陕西省教育厅专项基金资助项目(00JK119). |
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| 摘 要： | 讨论了空间有理曲线中心投影后导数上界的估计，基于曲线各阶差分的递推计算，给出了空间有理参数多项式曲线的快速绘制算法．算法只用到整数的加减法，效率高．
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| 关 键 词： | 有理参数多项式曲线 中心投影 逐点生成算法 差分 整数加减法 |
| 文章编号： | 1008-5513(2003)04-0318-06 |
| 修稿时间： | 2002-12-03 |
Fast generating algorithm for space rational parametric polynomial curves |
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| WANG Dan,ZHOU Mei-yin,KANG Bao-sheng. Fast generating algorithm for space rational parametric polynomial curves[J]. Pure and Applied Mathematics, 2003, 19(4): 318-323 |
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| Authors: | WANG Dan ZHOU Mei-yin KANG Bao-sheng |
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| Affiliation: | WANG Dan1,ZHOU Mei-yin2,KANG Bao-sheng1 |
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| Abstract: | For space rational parametric polynomial curves,bound on the derivative of projec- tive curves is obtained under perspective projection.Based on recursive computation of dif- ference,a fast algorithm generating rational curves is presented.The algorithm needs only integer addition and subtraction,so itis very efficient. |
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| Keywords: | rational parametric polynomial curve perspective projection pointby pointgener- ating algorithm difference integer addition and subtraction |
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