| 三次代数曲面上的一类G~2连续自由参数样条 |
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| 引用本文： | 余忠梅,彭丰富. 三次代数曲面上的一类G~2连续自由参数样条[J]. 桂林电子科技大学学报, 2013, 0(5): 408-411 |
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| 作者姓名： | 余忠梅 彭丰富 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林541004 |
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| 基金项目： | 广西高等学校重点项目（201102ZD015） |
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| 摘 要： | 为得到一段近似G2连续的空间曲线,在重心坐标系统下,通过对空间三次代数曲面双参数化,在该曲面上找到符合要求的空间曲线。借助Matlab软件,对空间任意4点构造一段G2连续的曲线弧,然后将每段曲线弧连接,得到一段近似G2连续的空间曲线。结果表明,该方法在绘制空间复杂曲线时,具有快捷、准确的优点。
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| 关 键 词： | 代数曲面 G2连续 重心坐标 空间曲线 |
A free parameters spline with G^2 continuity in the cubic surface |
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| Yu Zhongmei,Peng Fengfu. A free parameters spline with G^2 continuity in the cubic surface[J]. Journal of Guilin University of Electronic Technology, 2013, 0(5): 408-411 |
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| Authors: | Yu Zhongmei Peng Fengfu |
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| Affiliation: | (School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, China) |
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| Abstract: | In order to obtain an approximate G^2 continuity space curve, the cubic surface with its barycentrie coordinate system can be conveniently represented by two parameters. Then the space curve can be oht.ained in the cubic surface. With the help of Matlab software, a space arc can be got in four points of space. Then the arcs can be joined in an ap- proximate Gz continuity space curve. The result shows that the method has fast and convenient advantages in drawing complicated curve. |
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| Keywords: | algebraic surface G^2 continuity baryeentric coordinate space curve |
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