| 拟Hermite曲线/曲面及其应用 |
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| 引用本文： | 陈素根,苏本跃,汪志华.拟Hermite曲线/曲面及其应用[J].安庆师范学院学报(自然科学版),2011,17(3):26-30. |
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| 作者姓名： | 陈素根 苏本跃 汪志华 |
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| 作者单位： | 安庆师范学院数学与计算科学学院,安徽安庆,246133;安庆师范学院计算机与信息学院,安徽安庆,246133 |
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| 基金项目： | 安庆师范学院青年科研基金项目，安徽省教育厅自然科学研究项目 |
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| 摘 要： | 在代数三角函数空间中构造了一种代数三角基函数,具有类似于Herm ite基函数的性质,称其为拟Herm ite基函数。利用此基函数定义拟Herm ite曲线,结合Bézier曲线的思想,给出了拟Herm ite曲线的另一种定义及张量积拟Herm ite曲面的定义。实验表明,拟Herm ite曲线可以精确表示直线段、正弦线、余弦线、椭圆弧(圆弧)及摆线,Herm ite曲面可以精确表示椭球面(球面)、圆锥面及圆环面等二次曲面。
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| 关 键 词： | 计算机应用 拟Hermite基函数 拟Hermite曲线/曲面 椭球面 圆环面 |
Quasi-Hermite Curve/surface and Its Application |
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| CHEN Su-gen,SU Ben-yue,WANG Zhi-hua.Quasi-Hermite Curve/surface and Its Application[J].Journal of Anqing Teachers College(Natural Science Edition),2011,17(3):26-30. |
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| Authors: | CHEN Su-gen SU Ben-yue WANG Zhi-hua |
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| Institution: | 1(1.School of Mathematics & Computational Science,2.School of Computer & Information,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | A kind of algebraic and trigonometric blending functions is constructed based on algebraic and trigonometric spaces,which is called as quasi-Hermite blending functions.Then,the corresponding quasi-Hermite curve is defined.Another definitions of quasi-Hermite curve and quasi-Hermite tensor product surface are given as well as the cases of Bézier curve and surface.Experiment indicates that the quasi-Hermite curve can accurately represent straight line segment,sine curve,cosine curve,elliptic（circular） arcs and cycloid,the corresponding tensor product surface can represent ellipsoid,spherical surface,circular conical surface and torus exactly. |
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| Keywords: | computer application quasi-Hermite blending function quasi-Hermite curve/surface ellipsoid torus |
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