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Characterizing Graphs Using Spherical Triangles

机译:使用球面三角形表征图表

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In this paper the Hausdorff distance, and a robust modified variant of the Hausdorff distance are used for the purpose of matching graphs whose structure can be described in terms of triangular faces. A geometric quantity from the geodesic triangle and the corresponding Euclidean triangle is deduced and used as a feature for the purposes of gauging the similarity of graphs, and hence clustering them, we experiment on sets of graphs representing the proximity image features in different views of different objects from the CMU, MOVI and chalet house sequences. By applying multidimensional scaling to the Hausdorff distances between the different object views, we demonstrate that this representation is capable of clustering the different views of the same object together.
机译:在本文中,HAUSDORFF距离和HAUSDORFF距离的鲁棒修改变型用于匹配结构可以在三角形面上描述的曲线图。从测地三角形和相应的欧几里德三角形的几何量被推导并用作衡量图形相似性的特征,从而培养它们,我们试验代表不同视图中的接近图像特征的图表。来自CMU,MOVI和Chalet House序列的对象。通过将多维缩放应用于不同对象视图之间的Hausdorff距离,我们演示了该表示能够将相同对象的不同视图聚类在一起。

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