| 基于三次PH曲线误差可控代数曲线等距线逼近算法 |
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| 引用本文： | 寿华好,江瑜,缪永伟.基于三次PH曲线误差可控代数曲线等距线逼近算法[J].工程图学学报,2012,33(2):30-33. |
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| 作者姓名： | 寿华好 江瑜 缪永伟 |
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| 作者单位： | 1. 浙江工业大学理学院,浙江杭州,310023
2. 浙江工业大学计算机科学与技术学院,浙江杭州,310023 |
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| 基金项目： | 国家自然科学基金资助项目（61070126 61070135）; 浙江省自然科学基金资助项目（Y1100837） |
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| 摘 要： | 论文提出一种用三次PH曲线逼近代数曲线的方法及其误差分析。使用该方法,给出一种用PH曲线的等距线来逼近原来代数曲线等距线的算法。逼近曲线保持了原曲线的一些重要几何性质,如单调性、凹凸性、G1连续性等。数值实验表明,该算法提供了代数曲线近似参数化的一条有效途径。并在此基础上提出了一种计算代数曲线等距线的有理参数表示的新方法。
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| 关 键 词： | 计算机应用 等距线 PH曲线 代数曲线 |
Error controllable algebraic curve offset approximation based on cubic PH curve |
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| Shou Huahao
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Jiang Yu
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Miao Yongwei.Error controllable algebraic curve offset approximation based on cubic PH curve[J].Journal of Engineering Graphics,2012,33(2):30-33. |
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| Authors: | Shou Huahao Jiang Yu Miao Yongwei |
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| Affiliation: | 1.College of Science,Zhejiang University of Technology,Hangzhou Zhejiang 310023,China; 2.College of Computer Science and Technology,Zhejiang University of Technology,Hangzhou Zhejiang 310023,China) |
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| Abstract: | A new algorithm that constructs offsets of a planar algebraic curve by approximating the algebraic curve with piecewise cubic PH curve is proposed.The approximation errors are also estimated.The approximate PH curve keeps some important geometric features of the original algebraic curve such as convexity,monotonicity and G1 continuity.Numerical experiments show that the algorithm provides an efficient approach to approximate parameterization of algebraic curves.The algorithm also provides a new method to calculate rational parameter representation of the algebraic curve offsets. |
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| Keywords: | computer application offset curve PH curve algebraic curve |
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