Results 351 to 360 of about 5,121,571 (362)

Bernstein filter: A new solver for mean curvature regularized models

IEEE International Conference on Acoustics, Speech, and Signal Processing, 2016
The mean curvature has been shown a proper regularization in various ill-posed inverse problems in signal processing. Traditional solvers are based on either gradient descent methods or Euler Lagrange Equation.
Yuanhao Gong
semanticscholar   +1 more source

Partitions with prescribed mean curvatures

manuscripta mathematica, 2002
We consider a certain variational problem on Caccioppoli partitions with countably many components, which models immiscible fluids as well as variational image segmentation, and generalizes the well-known problem with prescribed mean curvature. We prove existence and regularity results, and finally show some explicit examples of minimizers.
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Total Mean Curvature, Scalar Curvature, and a Variational Analog of Brown–York Mass

, 2016
We study the supremum of the total mean curvature on the boundary of compact, mean-convex 3-manifolds with nonnegative scalar curvature, and a prescribed boundary metric.
Christos Mantoulidis, P. Miao
semanticscholar   +1 more source

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 ...
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On an Inequality of Mean Curvature

Journal of the London Mathematical Society, 1972
where denotes the scalar product in E, cn the area of the unit rc-sphere, and dV the volume element of M. The equality sign of (1) holds when and only when M" is imbedded as a hypersphere in an («+ l)-dimensional subspace of E (Chen [3], [4]; see also Chen [1] and Willmore [6], [7]).
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Motion by mean curvature and nucleation

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997
Abstract A model is proposed to represent mean curvature flow (with forcing term), as well as nucleation and other discontinuities in set evolution. A weak formulation in the framework of BV -spaces is written in terms of the characteristic function of the evolving set. This problem has at least one solution.
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Interfaces of Prescribed Mean Curvature

1987
Several questions of mathematical and physical interest lead to the consideration of an “energy functional” of the following type: $$F[V] = \text{(weighted area of}\, S) + \int_{v}\, H dv,$$ (*) where S is the surface bounding the region V of n-space and H is a given summable function. In the following, we shall be concerned with a problem of
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Hypersurfaces of Constant Mean Curvature

1989
I want to discuss some aspects of the theory of hypersurfaces of constant mean curvature H. The subject is intimately related to the theory of minimal hypersurfaces which corresponds to the case H = 0. There are, however, some striking differences between the two cases, and this can already be made clear in the simplest situation of surfaces in the ...
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ON TOTAL MEAN CURVATURES

The Quarterly Journal of Mathematics, 1986
Wolfgang Kühnel, Ulrich Pinkall
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Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space

, 2016
Guowei Dai
semanticscholar   +1 more source