Geodesic
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. 
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     title = {The discrete geometric bisectors flow of strictly convex polygons and its convergence questions},
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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/

[1] E. I. Shamaev, “Skhodimost odnoi iteratsionnoi posledovatelnosti, voznikayuschei v diskretnykh analogakh potokov obratnoi srednei krivizny”, Matematicheskie zametki YaGU, 17:1 (2010), 149–153 | MR | Zbl

[2] A. M. Bruckstein, G. Sapiro, D. Shaked, “Evolutions of planar polygons”, International J. of Pattern Recognition and Artificial Intelligence, 9:6 (1995), 991–1014 | DOI

[3] A. Imiya, U. Eckhardt, “Discrete Mean Curvature Flow”, Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision, SCALE-SPACE'99, Springer-Verlag, London, 1999, 477–482 | DOI