| 二次三角Bezier型曲线的扩展 |
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| 引用本文： | 李昌文,潘亚丽,李强.二次三角Bezier型曲线的扩展[J].淮南工业学院学报,2010(1):60-62. |
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| 作者姓名： | 李昌文 潘亚丽 李强 |
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| 作者单位： | [1]淮北煤炭师范学院数学科学学院,安徽淮北235000 [2]安徽理工大学理学院,安徽淮南232001 |
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| 基金项目： | 安徽省教育厅自然科学研究重点资助项目（2006KJ069A） |
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| 摘 要： | 给出了一组含有参数A的三次三角基函数，分析了此基函数的性质。基于该组基定义了带形状参数的三角曲线，该曲线不仅具有二次T—Bezier曲线的性质，而且具有形状可调性和更好的逼近性。参数λ有明确的几何意义。最后还讨论了两段曲线的G^2拼接条件。
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| 关 键 词： | T—Bezier曲线 λT-Bezier曲线 形状参数 曲线设计 |
Extention of Conic-Trigonometric Bezier-type Curve |
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| LI Chang-wen,PAN Ya-li,LI Qiang.Extention of Conic-Trigonometric Bezier-type Curve[J].Journal of Huainan Institute of Technology(Natural Science),2010(1):60-62. |
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| Authors: | LI Chang-wen PAN Ya-li LI Qiang |
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| Affiliation: | 1. School of Mathematics Sciences, Huaibei Coal Industry Teachers College, Huaibei Anhui 235000, China; 2. School of Science, Anhui University of Science and Technology, Huainan Anhui 232001, China) |
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| Abstract: | A set of triangle basis function which implies parameter λ, was proposed. Its properties were analyzed and a triangle curve with a shape parameter was defined based on the basis. The curve not only has properties of T-Bezier curve, but also shape adiustability and better approximability. Finally,G^2connection conditions of two curves was discussed. |
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| Keywords: | T-Bezier curve λT-Bezier curve shape parameter curve design |
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