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cs.CG2014★ 1 cited
The edit distance for Reeb graphs of surfaces
Barbara Di Fabio, Claudia Landi
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…
cs.CG2010
Stability of Reeb graphs under function perturbations: the case of closed curves
Barbara Di Fabio, Claudia Landi
Reeb graphs provide a method for studying the shape of a manifold by encoding the evolution and arrangement of level sets of a simple Morse function defined on the manifold. Since…