| 多边形面积坐标约束条件的构造方法 |
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| 引用本文： | 储理才,吴端恭. 多边形面积坐标约束条件的构造方法[J]. 集美大学学报(自然科学版), 2021, 26(3): 265-270. DOI: 10.19715/j.jmuzr.2021.03.12 |
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| 作者姓名： | 储理才 吴端恭 |
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| 作者单位： | (集美大学理学院,福建 厦门 361021) |
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| 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.
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| 关 键 词： | 多边形单元 特征参数 面积坐标 独立分量 约束条件 |
Constructions of Restrained Conditions for Polygon Area-Coordinate |
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| CHU Licai,WU Duangong. Constructions of Restrained Conditions for Polygon Area-Coordinate[J]. the Editorial Board of Jimei University(Natural Science), 2021, 26(3): 265-270. DOI: 10.19715/j.jmuzr.2021.03.12 |
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| Authors: | CHU Licai WU Duangong |
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| Affiliation: | (School of Science，Jimei University，Xiamen 361021，China) |
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| Abstract: | 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. |
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| Keywords: | polygon element characteristic parameter area-coordinate independent components restrained conditions |
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