CONVERGENCE OF A BISECTOR FLOW FOR POLYGONS
Abstract
We study a bisector flow for polygons on a plane and prove the convergence of the discrete geometric flow in the case of the strict convexity of the initial polygon.
About the Authors
D. A. Nogovitsyn
North-Eastern Federal University
Russian Federation
Russian Federation
D. A. Nogovitsyn
North-Eastern Federal University, Yakutsk, Russia
E. I. Shamaev
North-Eastern Federal University;
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
E. I. Shamaev
North-Eastern Federal University, Yakutsk, Russia
Sobolev Institute of Mathematics, Novosibirsk, Russia
References
1. Bruckstein A. M., Sapiro G., Shaked D. Evolutions of planar polygons // Int. J. Pattern Recognition Artificial Intelligence. 1995. V. 9, N 6. P. 991–1014.
2. Шамаев Э. И. Дискретный геометрический поток биссектрис для выпуклых многоугольников и вопросы его сходимости // Сиб. электрон. мат. изв 2013. Т. 10. С. 641–648.
Review
For citations:
Nogovitsyn D.A., Shamaev E.I. CONVERGENCE OF A BISECTOR FLOW FOR POLYGONS. Mathematical notes of NEFU. 2014;21(4):44-46. (In Russ.)
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