| C~3连续的保凸T-B插值曲线及保形插值算法 |
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| 引用本文： | 朱晓临,葛传丰.C~3连续的保凸T-B插值曲线及保形插值算法[J].工程图学学报,2009,30(6). |
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| 作者姓名： | 朱晓临 葛传丰 |
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| 作者单位： | 合肥工业大学理学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目，安徽省自然科学基金资助项目 |
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| 摘 要： | 基于三角函数的T-B样条曲线虽然具有保凸性,但曲线不通过任何控制点.现在在两个相邻控制点之间插入两个新的控制点,使改造后新的T-B样条曲线插值能够通过原来的控制点,不仅保凸、C~3连续,而且曲线的形状还可作局部修改.给出了T-B样条曲线保形插值算法的保形性条件,并给出了数值计算例子.
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| 关 键 词： | 计算机应用 T-B样条曲线 保形插值算法 保形性条件 |
C~3 Convex T-B Interpolating Curve and an Algorithm for Shape Preserving Interpolation |
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| ZHU Xiao-lin,GE Chuan-feng.C~3 Convex T-B Interpolating Curve and an Algorithm for Shape Preserving Interpolation[J].Journal of Engineering Graphics,2009,30(6). |
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| Authors: | ZHU Xiao-lin GE Chuan-feng |
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| Affiliation: | ZHU Xiao-lin,GE Chuan-feng(School of Science,Hefei University of Technology,Hefei Anhui 230009,China) |
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| Abstract: | Using triangular basis function, although T-B spline curve presents convexity-preserving property, but it couldn't interpolate through any given control points. The proposed approach of inserting two new control points between each two neighboring data points can make T-B spline interpolating the original control points. It is still convexity-preserving, C~3 continuous, and the shape of curve can be modified locally. The algorithm and condition for shape preserving interpolation of T-B spline are described, and two samples of numerical calculation are given. |
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| Keywords: | computer application T-B spline curve preserving interpolation algorithm shape preserving condition |
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