11 citations · 27 across the 8 of their papers we have counts for
4 papers · 1 filter
Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets
Jonathan McManus, Vitaliy Kurlin
The fundamental model of any periodic crystal is a periodic set of points at all atomic centres. Since crystal structures are determined in a rigid form, their strongest equivalenc…
Complete and bi-continuous invariant of protein backbones under rigid motion
Olga Anosova, Alexey Gorelov, William Jeffcott +2
Proteins are large biomolecules that regulate all living organisms and consist of one or several chains. The primary structure of a protein chain is a sequence of amino acid residu…
Density functions of periodic sequences
Olga Anosova, Vitaliy Kurlin
Periodic point sets model all solid crystalline materials whose structures are determined in a rigid form and should be studied up to rigid motion or isometry preserving inter-poin…
Paired compressed cover trees guarantee a near linear parametrized complexity for all -nearest neighbors search in an arbitrary metric space
Yury Elkin, Vitaliy Kurlin
This paper studies the important problem of finding all -nearest neighbors to points of a query set in another reference set within any metric space. Our previous work d…