摘要
利用散度定理将体积计算转化为闭曲面上的积分,对曲面进行三角形网格剖分.构造等参变换,建立任一空间三角形与标准三角形的1-1对应关系,推导出空间三角形上的曲面积分表达式.引入了简单四面体的有向体积概念,最后得多面体体积计算公式.
The computation of three dimensional volume is converted into that of integral of closed surface, which is based on the divergence theory. In this way, the surface integral expression of spatial triangle can be obtained with triangular mesh subdivision of the closed surface, constructing isoparametric transformation, building 1 - 1 corresponding relationship between spatial and standard triangle. In this article, we introduce the oriented volume concept of simple tetrahedral, and get the computation formula for polyhedron at last.
出处
《大学数学》
北大核心
2006年第1期114-119,共6页
College Mathematics
关键词
散度定理
等参变换
三角形网面
有向体积
divergence theory
isoparametric transformation
triangular subdibison
oriented volume
