scholarly journals Level Set Method for Motion by Mean Curvature

2016 ◽  
Vol 63 (10) ◽  
pp. 1148-1153 ◽  
Author(s):  
Tobias Holck Colding ◽  
William P. Minicozzi
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Mean Curvature ◽  
Motion By Mean Curvature

scholarly journals On the horizontal mean curvature flow for axisymmetric surfaces in the Heisenberg group

2014 ◽  
Vol 16 (03) ◽  
pp. 1350027 ◽  
Author(s):  
Fausto Ferrari ◽  
Qing Liu ◽  
Juan J. Manfredi
Keyword(s):  
Heisenberg Group ◽  
Level Set Method ◽  
Level Set ◽  
Viscosity Solutions ◽  
Mean Curvature ◽  
Explicit Solution ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Existence And Stability ◽  
The Mean

We study the horizontal mean curvature flow in the Heisenberg group by using the level-set method. We prove the uniqueness, existence and stability of axisymmetric viscosity solutions of the level-set equation. An explicit solution is given for the motion starting from a subelliptic sphere. We also give several properties of the level-set method and the mean curvature flow in the Heisenberg group.

Level Set Method Optimized with the Euclidean Distance Transform

2019 ◽  
Author(s):  
Luis Fernando Segalla ◽  
Alexandre Zabot ◽  
Diogo Nardelli Siebert ◽  
Fabiano Wolf
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Euclidean Distance ◽  
Distance Transform ◽  
Euclidean Distance Transform
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