A Similarity Measurement Model of Complex Polygon with Holes Based on Fuzzy Matrix and Similarity Transformation

Qin Zong, Kuan Tian, Qiu Zuo, Wenjing Wang
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Abstract

Aiming at the problem of similarity measurement of complex polygon with holes, the idea of filling holes is proposed, and complex polygon with holes are gradually filled into simple polygon. We called the graphics in the filling process are transformed graphics. Firstly, using transformed graphics constructing fuzzy matrix; Secondly, the area similarity of transformed graphics constructing matrix element value; Finally, Calculating the fuzzy equivalence relationship of the fuzzy matrix to determine the similarity of complex polygon with holes.
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基于模糊矩阵和相似变换的带孔复杂多边形相似度度量模型
针对带孔复杂多边形的相似度测量问题,提出了填充孔的思想,将带孔的复杂多边形逐步填充为简单多边形。我们称图形在填充过程中是变换图形。首先,利用变换图形构造模糊矩阵;其次,变换图形的面积相似度构造矩阵元素值;最后,计算模糊矩阵的模糊等价关系,确定带孔的复杂多边形的相似度。
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