基于向量代数的广义重心坐标计算方法

A computing method of generalized barycentric coordinates based on vector algebra

为了求解空间广义重心坐标,提出基于向量代数的广义重心坐标计算方法。基于部分点稀疏解的唯一性,通过求解少数点的稀疏解,以这些稀疏解为重心坐标,复合这些稀疏解求得空间数据点的广义重心坐标。此方法可行并且计算简便。

In order to solve the space generalized barycentric coordinates,a computing method of generalized barycentric coordinates is proposed based on vector algebra,based on the uniqueness of sparse solution of partial point,by solving the sparse solution of minority points,these sparse solutions are taken as barycentric coordinates and combined to obtain the generalized barycentric coordinates of the spatial data points.This method is feasible and easy to calculate.