منابع مشابه
The Reeb Graph Edit Distance is Universal
We consider the setting of Reeb graphs of piecewise linear functions and study distances between them that are stable, meaning that functions which are similar in the supremum norm ought to have similar Reeb graphs. We define an edit distance for Reeb graphs and prove that it is stable and universal, meaning that it provides an upper bound to any other stable distance. In contrast, via a specif...
متن کاملThe edit distance for Reeb graphs of surfaces
Reeb graphs are structural descriptors that capture shape properties of a topological space from the perspective of a chosen function. In this work we define a combinatorial metric for Reeb graphs of orientable surfaces in terms of the cost necessary to transform one graph into another by edit operations. The main contributions of this paper are the stability property and the optimality of this...
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متن کاملMap Edit Distance vs. Graph Edit Distance for Matching Images
Generalized maps are widely used to model the topology of nD objects (such as 2D or 3D images) by means of incidence and adjacency relationships between cells (0D vertices, 1D edges, 2D faces, 3D volumes, ...). We have introduced in [1] a map edit distance. This distance compares maps by means of a minimum cost sequence of edit operations that should be performed to transform a map into another...
متن کاملSelf-organizing Graph Edit Distance
This paper addresses the issue of learning graph edit distance cost functions for numerically labeled graphs from a corpus of sample graphs. We propose a system of self-organizing maps representing attribute distance spaces that encode edit operation costs. The selforganizing maps are iteratively adapted to minimize the edit distance of those graphs that are required to be similar. To demonstra...
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2020
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-020-09488-3