节点文献
曲面交互设计的偏微分方程反演方法
Interactive Surface ModelingBased on Inversion Method in PDE
【摘要】 提出了一种基于偏微分方程反演自动决定偏微分方程系数和边界条件的PDE曲面造型的新方法,使所得的曲面形状尽量接近用户的选择,若干数值例子说明了此方法是有效的.
【Abstract】 When generating freeform and blending surface by PDE method,people must choose proper coefficients and boundary conditions for the PDE. A new method of determining automatically coefficients and boundary conditions,based on the inversion method of PDE,is studied. In this way,generated surfaces can meet the users’ choice as well as possible. Numerical examples are provided to show the efficiency of the method.
【关键词】 曲面造型;
偏微分方程;
反问题;
【Key words】 surface modeling; partial differential equation; inverse problem;
【Key words】 surface modeling; partial differential equation; inverse problem;
【基金】 国家自然科学基金资助项目(10171020)
- 【文献出处】 复旦学报(自然科学版) ,Journal of Fudan University , 编辑部邮箱 ,2003年02期
- 【分类号】O241.8
- 【被引频次】11
- 【下载频次】138