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Eigenspaces for graphs

机译:图形的eIgenspaces

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摘要

In this paper, we investigate the feasibility of using graph-based descriptions to learn the view structure of 3D objects. The graphs used in our study are constructed from the Delaunay triangulations of corner features. The investigation is divided into two parts. We commence by considering how relational structures can be encoded in a way which can be used to generate parametric eigenspaces. Here we investigate four different relational representations derived from the graphs. The first three of these are vector encodings of the adjacency graph, the weighted adjacency graph, and the point proximity matrix; the fourth representation is the edge weight histogram. We study the eigenspaces which result from these different representations. In addition, we investigate how multidimensional scaling may be used to generate eigenspaces from a set of pairwise distances between graphs.
机译:在本文中,我们调查使用基于图形的描述来学习3D对象的视图结构的可行性。我们研究中使用的图形是由角色特征的Delaunay三角构建的。调查分为两部分。我们通过考虑如何以可用于生成参数分类空间的方式编码关系结构来开始。在这里,我们调查了来自图表的四种不同的关系表示。其中的前三个是邻接图,加权邻接图和点接近矩阵的矢量编码;第四表示是边缘重量直方图。我们研究由这些不同的表示引起的截断。此外,我们研究了多维缩放的方式如何用于从图之间的一组成对距离生成截瘫。

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