以网格曲线为连续条件的光滑曲面  

A SMOOTH SURFACE BASED ON THE PATCH BOUNDARIES

作　　者：赵修伟[1] 孙家广[1] 

机构地区：[1]清华大学计算机系

出　　处：《计算机辅助设计与图形学学报》1994年第2期81-88,共8页Journal of Computer-Aided Design & Computer Graphics

摘　　要：本文提出一种以网格边界曲线定义曲面的方法。曲面的计算式唯一地由网格的四条边界线的参数而定，各网格间连接的光滑度完全由网格间的边界线的光滑度来决定。当网格间的边界线具有Ｃ~１连续以上的光滑度时，网络曲面间将自动保证是Ｃ~１连续的，否则将是Ｃ~０连续。利用这个方法，可以方便地从线框模型（ｗｉｒｅ－ｆｒａｍｅｍｏｄｅｌ）建立面模型（ｓｕｒｆａｃｅｍｏｄｅｌ）。A method of constructing free-curved surface is proposed. This method is based on a calculation that depends on the calculating results of the patch boundaries. The surface will be C1 continuous if the boundary curves connecting each two patches are C1 continuous. It will be C0 continuous if the boundary connection is only C0 continuous. This method can be implemented to construct a surface model from a wire-frame model.

关 键 词：网格 曲线 光滑曲面 CAD 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]