| 平面二次代数曲线的最优参数化 |
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| 引用本文： | 厉玉蓉,胡芳刚.平面二次代数曲线的最优参数化[J].工程图学学报,2012,33(2):49-52. |
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| 作者姓名： | 厉玉蓉 胡芳刚 |
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| 作者单位： | 1. 山东工商学院计算机科学与技术学院,山东烟台,264005
2. 山东师范大学信息科学与工程学院,山东济南,250014 |
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| 基金项目： | 国家自然科学基金资助项目(60803048);山东省自然科学基金资助项目(Y2007A28) |
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| 摘 要： | 在CAGD和CG中,代数曲线上指定曲线段的最优参数化是热点问题,而不是整条曲线。以最接近于弧长的参数化为最优的参数化评判标准,得到了二次代数曲线上的任意指定曲线段的最优或逼近最优的有理参数化公式,具有较强的自适应性。最后,通过实例对该方法与传统方法得到的参数化结果进行了对比。
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| 关 键 词： | 最优参数化 代数曲线 参数曲线 弧长参数化 |
Optimal parameterization of conic curves |
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| Li Yurong
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Hu Fanggang.Optimal parameterization of conic curves[J].Journal of Engineering Graphics,2012,33(2):49-52. |
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| Authors: | Li Yurong Hu Fanggang |
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| Affiliation: | 1.School of Computer Science and Technology,Shandong Institute of Business and Technology,Yantai Shandong 264005,China; 2.School of Information Science and Engineering,Shandong Normal University,Jinan Shandong 250014,China) |
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| Abstract: | In the domain of CAGD and CG,optimal parameterization of specified segment on the algebraic curves is a hot question.Take the optimal approximation of arc-length parameterization as the criterion of optimal parameterization,and the optimal or close to optimal rational parameterization formula of any specified segment on the conic curves is obtained.The new method has strong self-adaptability.Finally,a experimental comparison of the results obtained by this method and by the traditional parametric algorithm is conducted. |
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| Keywords: | optimal parameterization algebraic curve parametric curve arc-length parameterization |
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