| 误差最小的计算机插补原理 |
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| 引用本文： | 吴庆标.误差最小的计算机插补原理[J].计算机辅助设计与图形学学报,2000,12(3):174-178. |
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| 作者姓名： | 吴庆标 |
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| 作者单位： | 浙江大学数学与信息科学系!杭州310028 |
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| 基金项目： | 国家科委攀登计划!( 85 -2 )，浙江省教委科研基金!( G2 980 2 ) |
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| 摘 要： | 从包括的思想出发，解决了对单调光滑函数曲线构造一个带域，在此带域中所确定的绘图路径是误差最小的。另外，文中应用带域提出了一种误差最小插补法，得到递推公式，每次要计算的是进给步数，跟过去一贯采用的每走一步都要计算判别函数的传统方法比较，具有较强的优越性，最后给出计算实例。
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| 关 键 词： | 带域 曲线 判别函数 计算机插补原理 |
The Smallest Error Computer Interpolation Principle |
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| WU Qing,Biao.The Smallest Error Computer Interpolation Principle[J].Journal of Computer-Aided Design & Computer Graphics,2000,12(3):174-178. |
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| Authors: | WU Qing Biao |
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| Abstract: | Based on envelope idea,the smallest error interpolation principle on computer generated curve is presented. If the curve is monotone and smooth, a strip region can be constructed and in the strip region marching path has the smallest error. Based on strip region,the smallest error interpolation algorithm on computer generated curve is also proposed and the recurrence formula for computing the marching step number is introduced. This approach is better than old ones where the decision function is calculated for each marching step. |
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| Keywords: | interpolation stripregion curve recurrence formula decision function |
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