多边形面积坐标约束条件的构造方法  

Constructions of Restrained Conditions for Polygon Area-Coordinate

作　　者：储理才[1] 吴端恭[1] CHU Licai;WU Duangong(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2021年第3期265-270,共6页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金项目(11461044)。

摘　　要：提出一般多边形面积坐标约束条件的构造方法,即根据基多边形选取合适的形状特征参数,然后用形状特征参数表示出一组特定的点的面积坐标,由此得出多边形面积坐标的约束条件。最后就四边形、五边形情形,给出多组等价的面积坐标约束条件,利用面积坐标约束条件解决面积坐标分量相等的点的存在性问题。A method to construct general polygon area-coordinate constraints was presented.Firstly,according to the base polygon,the appropriate shape feature parameters were selected,and then the area-coordinates of a specific set of points were expressed by the shape feature parameters,from which the constraints of polygon area-coordinates were obtained.In the case of quadrilateral and pentagon,several equivalent constraints of area-coordinates were given.Finally,the existence of points with equal area-coordinate components was solved by using area coordinate constraints.

关 键 词：多边形单元 特征参数 面积坐标 独立分量 约束条件 

分 类 号：O242.21[理学—计算数学]