The behavior of solution polygons to generalized
crystalline curvature flow is discussed.
The conditions to guarantee that
the solution polygon keeps its admissibility
as long as enclosed area of solution polygon is positive
are clarified.
We also show that the solution polygon becomes ``almost convex''
before the extinction time.
Publié le : 2008-06-15
Classification:
motion by crystalline curvature,
non-convex polygon,
edge-disappearing,
convexity phenomena
@article{1215118764,
author = {Ishiwata, Tetsuya},
title = {Motion of Non-Convex Polygons by Crystalline Curvature and Almost Convexity Phenomena},
journal = {Japan J. Indust. Appl. Math.},
volume = {25},
number = {1},
year = {2008},
pages = { 233-253},
language = {en},
url = {http://dml.mathdoc.fr/item/1215118764}
}
Ishiwata, Tetsuya. Motion of Non-Convex Polygons by Crystalline Curvature and Almost Convexity Phenomena. Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, pp. 233-253. http://gdmltest.u-ga.fr/item/1215118764/