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12/06/2022
Persistent Homology of Chromatic Alpha Complexes
Motivated by applications in medical sciences, we study finite chromatic...
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12/06/2022
On the Size of Chromatic Delaunay Mosaics
Given a locally finite set A ⊆ℝ^d and a coloring χ A →{0,1,…,s}, we intr...
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04/03/2022
Brillouin Zones of Integer Lattices and Their Perturbations
The k-th Brillouin zone of a point in a locally finite set in ℝ^d is the...
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04/03/2022
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane
For a locally finite set in ℝ^2, the order-k Brillouin tessellations for...
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04/22/2021
The Density Fingerprint of a Periodic Point Set
Modeling a crystal as a periodic point set, we present a fingerprint con...
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03/19/2021
Tri-Partitions and Bases of an Ordered Complex
Generalizing the decomposition of a connected planar graph into a tree a...
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11/06/2020
A Simple Algorithm for Higher-order Delaunay Mosaics and Alpha Shapes
We present a simple algorithm for computing higher-order Delaunay mosaic...
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08/19/2019
The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Representing an atom by a solid sphere in 3-dimensional Euclidean space,...
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08/19/2019
The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram
The morphometric approach [HRC13,RHK06] writes the solvation free energy...
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03/20/2019
Topological Data Analysis in Information Space
Various kinds of data are routinely represented as discrete probability ...
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09/12/2017