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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   +2 more
openaire   +1 more source

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   +1 more source

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

Hermitian mean curvature flow

International Journal of Mathematics
A Hermitian curvature flow is proposed and some regularity results are obtained. The stationary solution to the flow, if exists, is a balanced metric which is also Hermitian Yang–Mills with respect to itself.
openaire   +1 more source

Volume preserving anisotropic mean curvature flow

Indiana University Mathematics Journal, 2001
In this nice paper, the author studies anisotropic analogues of the volume-preserving mean curvature flow. He proves that an evolving arbitrary convex hypersurface is smooth and remains convex for times \(t>0\), and converges to the ``Wulff shape'' determined by the anisotropy. This is a natural extension of classical mean curvature results.
openaire   +1 more source

Antibiotic resistance in the environment

Nature Reviews Microbiology, 2021
D G Joakim Larsson, Carl-Fredrik Flach
exaly  

Transforming heat transfer with thermal metamaterials and devices

Nature Reviews Materials, 2021
Ying Li, Wei Li, Tiancheng Han
exaly  

Toward Next Generation Lateral Flow Assays: Integration of Nanomaterials

Chemical Reviews, 2022
Ruslán Álvarez-Diduk   +2 more
exaly  

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