多边形面积坐标约束条件的构造方法

Constructions of Restrained Conditions for Polygon Area-Coordinate

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.