三角域上的L、W曲面研究  

An investigation of the L-surface and W-surface on triangular mesh

作　　者：朱芳[1] 聂东明[1] 

机构地区：[1]安徽新华学院,合肥230088

出　　处：《南阳师范学院学报》2013年第12期8-15,共8页Journal of Nanyang Normal University

基　　金：国家自然科学基金项目(No.61070227;No.60773043);教育部科学技术研究重大项目(No.309017)

摘　　要：给出了三角域上L、W曲面的定义,从定义中得出了三角域L曲面的比例因子构造方法,分析了三角域上L曲面与B-B曲面的关系.同时将L样条函数推广到了三角域上,分析讨论了三角L样条函数的一些重要性质.最后给出了三角域上有理L、W曲面的定义和三角域有理L曲面构造方法,并讨论了其一些重要性质,分析了有理L曲面与三角域上有理Bézier曲面间的关系.This paper presents the definition of the L-surface and W-surface on triangular mesh, a method of constructing the L-surface and W-surface by scale factor from its definition and the relation between L-surface and B6zier surface is discussed. Moreover the L-spline function on triangular mesh is discussed. Its explicit representation, base properties and recurrent formula are developed. At last the definition of the rational L-surface and W-surface on triangular mesh and the scale factor method of constructing the rational L-surface and W-surface on triangular mesh are presented, and the relation between rational L-surface and rational B6zier surface on triangular mesh is discussed.

关 键 词：三角域 L W曲面 L样条函数 有理L W曲面 比例因子 

分 类 号：O241[理学—计算数学]