36 citations · 177 across the 35 of their papers we have counts for
5 papers · 1 filter
Isometry invariant shape recognition of projectively perturbed point clouds by the mergegram extending 0D persistence
Yury Elkin, Vitaliy Kurlin
Rigid shapes should be naturally compared up to rigid motion or isometry, which preserves all inter-point distances. The same rigid shape can be often represented by noisy point cl…
A complete and continuous map of the Lattice Isometry Space for all 3-dimensional lattices
Matthew Bright, Andrew I Cooper, Vitaliy Kurlin
This paper extends the recently obtained complete and continuous map of the Lattice Isometry Space (LISP) to the practical case of dimension 3. A periodic 3-dimensional lattice is…
Fast predictions of lattice energies by continuous isometry invariants of crystal structures
Jakob Ropers, Marco M Mosca, Olga Anosova +2
Crystal Structure Prediction (CSP) aims to discover solid crystalline materials by optimizing periodic arrangements of atoms, ions or molecules. CSP takes weeks of supercomputer ti…
The Density Fingerprint of a Periodic Point Set
Herbert Edelsbrunner, Teresa Heiss, Vitaliy Kurlin +2
Modeling a crystal as a periodic point set, we present a fingerprint consisting of density functions that facilitates the efficient search for new materials and material properties…
Introduction to Periodic Geometry and Topology
Olga Anosova, Vitaliy Kurlin
This monograph introduces key concepts and problems in the new research area of Periodic Geometry and Topology for materials applications.Periodic structures such as solid crystall…