The Reeb Graph Edit Distance is Universal
Sign Up to like & getrecommendations! Published in 2021 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-020-09488-3
Abstract: 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.… read more here.
Keywords: distance; reeb; edit distance; reeb graphs ... See more keywords
Using Foliation Leaves To Extract Reeb Graphs On Surfaces
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Visualization and Computer Graphics"
DOI: 10.1109/tvcg.2022.3141764
Abstract: For Reeb graph extraction on surfaces, existing methods always use the isolines of a function defined on the surface to detect the surface components and the neighboring relationships between them. Since such detection is unstable,… read more here.
Keywords: using foliation; reeb; surface; reeb graphs ... See more keywords