一类极小曲面造型设计的新方法  

A New Method for Approximating Minimal Surface

作　　者：刘计善[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2007年第2期192-197,203,共7页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金资助项目(10125102)

摘　　要：基于孔斯曲面定义了一种新的可以插值任意边界的孔斯-B样条曲面,利用改进的平均曲率流的方法提出构造极小曲面造型的新方法,并通过数值例子证实了该方法的有效性.The minimal surfaces have been extensively employed in many areas such as architecture, aviation, ship manufacture, and so on, However, the complexity of the minimal surface equation prevents people from modeling the minimal surface in CAD/CAGD. A new kind of surface is defined based on Coons patch and B-spline surface, and a new method for approximating minimal surface based on normal curvature flow and the new kind of surface is provided as well, Finally, some numerical examples are given.

关 键 词：极小曲面 孔斯曲面 B样条曲面 孔斯-B样条曲面 

分 类 号：O29[理学—应用数学]