| 异度隐函数样条曲线曲面 |
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| 引用本文： | 朱春钢,李彩云,王仁宏.异度隐函数样条曲线曲面[J].计算机辅助设计与图形学学报,2009,21(7). |
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| 作者姓名： | 朱春钢 李彩云 王仁宏 |
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| 作者单位： | 大连理工大学数学科学学院,大连,116024 |
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| 摘 要： | 隐式曲线曲面被广泛应用于曲线曲面插值、逼近与拼接. 通过添加辅助曲线曲面,提出异度隐函数样条曲线曲面方法,并对其插值性、凸性与正则性进行分析. 具体实例表明,异度隐函数样条提供了次数低、构造简单、灵活性好的曲线曲面插值与拼接方法.
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| 关 键 词： | 几何连续 隐函数样条 隐式曲线曲面 拼接 插值 |
Functional Spline Curves and Surfaces with Different Degrees of Smoothness |
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| Zhu Chungang,Li Caiyun,Wang Renhong.Functional Spline Curves and Surfaces with Different Degrees of Smoothness[J].Journal of Computer-Aided Design & Computer Graphics,2009,21(7). |
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| Authors: | Zhu Chungang Li Caiyun Wang Renhong |
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| Affiliation: | School of Mathematics Sciences;Dalian University of Technology;Dalian 116024 |
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| Abstract: | Implicit curves and surfaces are extensively used in interpolation,approximation and blending.By adding auxiliary curves and surfaces,the functional spline curves and surfaces with different degrees of smoothness are presented.In addition,convexity,regularity and convexity are also discussed.The examples show that the functional spline curves and surfaces provide the lower degree,simple,and flexible interpolation and blending means of curves and surfaces. |
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| Keywords: | geometric continuity functional splines implicit curves/surfaces blending interpolation |
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