摘要
首先推导和证明了空间任意平面上圆的参数方程,在此基础上给出了沿空间任意方向圆柱面的参数方程及其在计算机绘制的算法,还进一步将结果推广到空间任意方向圆锥面、椭圆柱面参数方程的建立并给出了相应的结果。研究结果可应用于机械、建筑以及农业的虚拟植物建模等多个与计算机绘图相关的领域。
Based on the deduction and proof of the parametric equation of a circle on arbitrary plane, the parametric equation of cylinders in arbitrary direction as well as the algorithm for cylinder drawing are presented. Extensively, the parametric equations for the cone and the ellipse-base cylinder are also studied. The result of such studies in this paper can be applied in the fields that are related with computer drawings such as mechanical engineering, architectural engineering, virtual plants of agricultural engineering and so on.
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2010年第6期58-63,共6页
Journal of Foshan University(Natural Science Edition)
关键词
任意方向
柱面
参数方程
计算机绘图
arbitrary direction
cylinder
parametric equation
computer drawings
