基于偏微分方程方法的Bézier曲面设计  

Bézier Surfaces Based on Partial Differential Equaltion

作　　者：姚毅[1] 余正生[1] 李慧慧[1] 吴向阳[1] 

机构地区：[1]杭州电子科技大学图形图像研究所,杭州310018

出　　处：《科技通报》2011年第2期215-219,共5页Bulletin of Science and Technology

基　　金：国家自然科学基金项目(61070070);浙江省自然科学基金项目(Y1090609);浙江省科技厅计划项目(2009C33008)

摘　　要：提出了一种Bézier曲面设计方法,该方法通过给定2条边界曲线及对应一阶切矢和二阶切矢基于偏微分方程构造Bézier曲面。该曲面具有PDE曲面的优点,可通过调整边界条件来调整曲面形状。该方法易于实现,可适用于自由曲面的设计以及过渡面的构造。This paper presents a method used to design Bezier surfaces. Giving tow boundary curves and their corresponding first derivative curves and second derivative curves, this method can be used to generate a Brzier surface based on Partial Differential Equahion （PDE）. Bezier surface generated by this method has the same features as PDE surface, it can be modified by changing boundary curves or their derivative curves. This method is easy to be implemented, and can be used to design free form surface and generate blending surface.

关 键 词：计算机软件与理论 BÉZIER曲面 边界曲线 偏微分方程 自由曲面 过渡面 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]