24 citations · 143 across the 29 of their papers we have counts for
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cs.CG2019
The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Arseniy Akopyan, Herbert Edelsbrunner
Representing an atom by a solid sphere in -dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its moti…
cs.CG2019
The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram
Arseniy Akopyan, Herbert Edelsbrunner
The morphometric approach [HRC13,RHK06] writes the solvation free energy as a linear combination of weighted versions of the volume, area, mean curvature, and Gaussian curvature of…
cs.CG2016★ 1 cited
Counting Blanks in Polygonal Arrangements
Arseniy Akopyan, Erel Segal-Halevi
Inside a two dimensional region ("cake"), there are non-overlapping tiles of a certain kind ("toppings"). We want to expand the toppings while keeping them non-overlapping, and…