The discrete geometric bisectors flow of strictly convex polygons and its convergence questions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 641-648
Voir la notice de l'article provenant de la source Math-Net.Ru
The flow of planar polygons by vectors outward along their bisectors is studied. In case the initial planar polygon is strictly convex a convergence of vectors constructed by angles of polygons is proved.
Keywords:
discrete geometric flows, planar polygons.
@article{SEMR_2013_10_a34,
author = {E. I. Shamaev},
title = {The discrete geometric bisectors flow of strictly convex polygons and its convergence questions},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {641--648},
publisher = {mathdoc},
volume = {10},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a34/}
}
TY - JOUR AU - E. I. Shamaev TI - The discrete geometric bisectors flow of strictly convex polygons and its convergence questions JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2013 SP - 641 EP - 648 VL - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2013_10_a34/ LA - ru ID - SEMR_2013_10_a34 ER -
E. I. Shamaev. The discrete geometric bisectors flow of strictly convex polygons and its convergence questions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 641-648. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a34/