Results 261 to 270 of about 3,233,557 (302)

Membrane curvature enhances oxidation within lipid bilayers in a composition-dependent manner. [PDF]

Biophys J
Kim J, Bartholomew SN, Zeno WF.
europepmc   +1 more source

A risk assessment indicator system for common diseases in children and adolescents. [PDF]

PLoS One
Shao Y, Hu B, Lu Y, Yu S, Liang J.
europepmc   +1 more source

Mechanical coordination of counter-gradient growth maintains organ curvature in the apical hook

Robert S, Raggi S, Ratnakaram H, Heymans A, Devi L, Erguvan Ö, Doyle S, Jobert F, Atakhani A, Liu S, Petit M, Kleine-Vehn J, Wabnik K, Verger S.   +13 more
europepmc   +1 more source

Concentrated Curvature for Mean Curvature Estimation

, 2010
We present a mathematical result that allows computing the discrete mean curvature of a polygonal surface from the so-called concentrated curvature generally used for Gaussian curvature estimation. Our result adds important value to concentrated curvature as a geometric and metric tool to study accurately the morphology of a surface.
M. M. Mesmoudi, DE FLORIANI, LEILA, MAGILLO, PAOLA   +2 more
openaire   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

ON TOTAL MEAN CURVATURES

The Quarterly Journal of Mathematics, 1986
The ith mean curvature \(K_ i\) of a compact immersed submanifold of dimension n in \(E^ k\) is the normalized ith elementary symmetric function of the principal curvatures. The authors consider homothety- invariant integrals of functions of the \(K_ i\). They discuss lower bounds for these.
Kühnel, Wolfgang, Pinkall, Ulrich
openaire   +1 more source

II—mean curvature and weighted mean curvature

Acta Metallurgica et Materialia, 1992
Abstract Several different formulations are in use for mean curvature (appropriate for isotropic surface free energy) and weighted mean curvature (appropriate for anisotropic surface free energy). These formulations are collected and described in this paper.
openaire   +1 more source

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]).
openaire   +2 more sources

Linear approximation of mean curvature

2017 IEEE International Conference on Image Processing (ICIP), 2017
Mean curvature has been shown a good regularization for many image processing tasks. Computing mean curvature, however, usually requires the image at least twice differentiable, which is an issue for discrete images, especially at edges. In this paper, we present several linear schemes to approximate the mean curvature of discrete images, based on ...
Yuanhao Gong, Yuan Xie
openaire   +2 more sources

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

On Brakke’s mean curvature flow

Sugaku Expositions, 2022
The article represents an excellent exposition of a fascinating, resurgent field of research, by one of the main researchers in the domain. It starts from the basic physical intuition and motivation, proceeds through essential background material, such as the mean curvature flow, as well as crucial definitions and tools from geometric measure theory ...
openaire   +1 more source