Results 271 to 280 of about 6,607,246 (296)

Riemannian Mean Curvature Flow

2005
In this paper we explicitly derive a level set formulation for mean curvature flow in a Riemannian metric space. This extends the traditional geodesic active contour framework which is based on conformal flows. Curve evolution for image segmentation can be posed as a Riemannian evolution process where the induced metric is related to the local ...
Raúl San José Estépar, Steven Haker, Carl-Fredrik Westin   +2 more
openaire   +2 more sources

Discrete Mean Curvature Flow

1999
In this paper, we introduce the linear scale-space theory for functions on finite graphs. This theory permits us to derive a discrete version of the mean curvature flow. This discrete version yields a deformation procedure for polyhedrons. The adjacent matrix and the degree matrix of a polyhedral graph describe the system equation of this polyhedral ...
Atsushi Imiya, Ulrich Eckhardt
openaire   +2 more sources

Parabolic Frequency for the Mean Curvature Flow

International Mathematics Research Notices, 2023
Abstract This paper defines a parabolic frequency for solutions of the heat equation along homothetically shrinking mean curvature flows (MCFs) and proves its monotonicity along such flows. As a corollary, frequency monotonicity provides a proof of backwards uniqueness.
Baldauf, Julius, Ho, Pak Tung, Lee, Tang-Kai   +2 more
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Nucleation and mean curvature flow

Communications in Partial Differential Equations, 1998
which is written in terms of the characteristic function of the evolving set. The argument is based on implicit time-discretization, derivation of uniform estimates, and passage to thIn this paper ...
openaire   +2 more sources

Mean Curvature Flow and Isoperimetric Inequalities

2010
The classical isoperimetric inequality in Euclidean space. Three different approaches.- The curve shortening flow and isoperimetric inequalities on surfaces.- $H^k$-flows and isoperimetric inequalities.- Estimates on the Willmore functional and isoperimetric inequalities.- Singularities in the volume-preserving mean curvature flow.- Bounds on the ...
Ritoré, M, SINESTRARI, CARLO
openaire   +2 more sources

Uniqueness of two-convex closed ancient solutions to the mean curvature flow

Annals of Mathematics, 2020
Sigurd Angenent, Nataša Sesum, Panagiota Daskalopoulos   +2 more
exaly  

A planarity estimate for pinched solutions of mean curvature flow

Duke Mathematical Journal, 2022
Keaton Naff
exaly  

A Singular Example for the Averaged Mean Curvature Flow

Experimental Mathematics, 2001
Uwe F Mayer
exaly  

Inverse anisotropic mean curvature flow and a Minkowski type inequality

Advances in Mathematics, 2017
Chao Xia
exaly  

Mean Curvature Flow

2020
openaire   +1 more source