| 拟合任意空间曲面的三角函数方法 |
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| 引用本文： | 朱仁芝,程谟嵩.拟合任意空间曲面的三角函数方法[J].计算机辅助设计与图形学学报,1996,8(2):108-114. |
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| 作者姓名： | 朱仁芝 程谟嵩 |
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| 作者单位： | 中国科学技术大学精密机械与精密仪器系，中国科学技术大学精密机械与精密仪器系 |
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| 摘 要： | 在ＣＡＧＤ中，曲线曲面拟合一般采用多项式作为基函数，而本文提出一种基于三角函数的拟合方法，它具有Ｂ样条的主要优点，并达到了Ｃ＾３连续性，而三次Ｂ样条只能达到Ｃ＾２，它还解决了多项式不能描述椭圆的问题，因此，这一方法适用于自由曲线曲面的设计。本文还结合实例说明了用此方法进行造型设计的技术。
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| 关 键 词： | 曲面拟合 三角函数 造型 B样条 CAGD |
A TRIGONOMETRIC-FUNCTION BASIS ALGORITHMFOR THE NUMERICAL SIMULATIONOF ARBITRARILY CURVED SURFACES |
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| Zhu Renzhi and Cheng Mosong.A TRIGONOMETRIC-FUNCTION BASIS ALGORITHMFOR THE NUMERICAL SIMULATIONOF ARBITRARILY CURVED SURFACES[J].Journal of Computer-Aided Design & Computer Graphics,1996,8(2):108-114. |
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| Authors: | Zhu Renzhi and Cheng Mosong |
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| Abstract: | in CAGD, polynomials are usually employed as the basic functions for theinterpolation of curves and surfaces. In this paper, a new kind of approximation curvesand surfaces based on the trigonometric functions is developed,which retains the mainsuperiority of B-splines method and meets C3 continuity while the cubic B-splines can only meet C2 continuity. Besides, the present method works for the case of ellipses, whilepolynomial does not. An example is given to illustrate the design of a modeling configuration. |
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| Keywords: | approximation of curves and surfaces polynomial splines trigonometricfunctions B3-splines modeling |
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