---
res:
bibo_abstract:
- We consider packings of congruent circles on a square flat torus, i.e., periodic
(w.r.t. a square lattice) planar circle packings, with the maximal circle radius.
This problem is interesting due to a practical reason—the problem of “super resolution
of images.” We have found optimal arrangements for N=6, 7 and 8 circles. Surprisingly,
for the case N=7 there are three different optimal arrangements. Our proof is
based on a computer enumeration of toroidal irreducible contact graphs.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Oleg
foaf_name: Musin, Oleg
foaf_surname: Musin
- foaf_Person:
foaf_givenName: Anton
foaf_name: Nikitenko, Anton
foaf_surname: Nikitenko
foaf_workInfoHomepage: http://www.librecat.org/personId=3E4FF1BA-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1007/s00454-015-9742-6
bibo_issue: '1'
bibo_volume: 55
dct_date: 2016^xs_gYear
dct_language: eng
dct_publisher: Springer@
dct_title: Optimal packings of congruent circles on a square flat torus@
...