Results 11 to 20 of about 3,233,557 (302)

Mean Curvature Skeletons [PDF]

open access: yesComputer Graphics Forum, 2012
AbstractInspired by recent developments in contraction‐based curve skeleton extraction, we formulate the skeletonization problem via mean curvature flow (MCF). While the classical application of MCF is surface fairing, we take advantage of its area‐minimizing characteristic to drive the curvature flow towards the extreme so as to collapse the input ...
Andrea Tagliasacchi   +3 more
openaire   +2 more sources

Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

open access: yesCubo, 2023
In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi   +3 more
doaj   +1 more source

The fractional mean curvature flow

open access: yesBruno Pini Mathematical Analysis Seminar, 2020
In this note, we present some recent results in the study of the fractional mean curvature flow, that is a geometric evolution of the boundary of a set whose speed is given by the fractional mean curvature.
Eleonora Cinti
doaj   +1 more source

GeoStamp: Detail Transfer Based on Mean Curvature Field

open access: yesMathematics, 2022
A shape detail transfer is the process of extracting the geometric details of a source region and transferring it onto a target region. In this paper, we present a simple and effective method, called GeoStamp, for transferring shape details using a ...
Jung-Ho Park   +3 more
doaj   +1 more source

Mean Curvature in the Light of Scalar Curvature [PDF]

open access: yesAnnales de l'Institut Fourier, 2020
We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these ...
openaire   +3 more sources

On Type I singularities in Ricci flow [PDF]

open access: yes, 2011
07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, P, Enders, J, Müller, R
core   +3 more sources

Constant Mean Curvature Surfaces Along a Spacelike Curve

open access: yesCumhuriyet Science Journal, 2022
We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
doaj   +1 more source

Special Curves in Engineering. Surfaces Generated by the Logarithmic Spiral

open access: yesModelling in Civil Environmental Engineering, 2022
The logarithmic spiral is one of the most known curves with applications in engineering. We consider product of the logarithmic spiral with a real line and tensor product of two logarithmic spirals and investigate their minimality or flatness.
Broscăţeanu Ștefan Cezar
doaj   +1 more source

Mean curvature flow with triple junctions in higher space dimensions [PDF]

open access: yes, 2012
We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald   +2 more
core   +1 more source

Stability of helicoidal surfaces with constant mean curvature

open access: yesInternational Journal of Mathematics for Industry, 2020
Motivated by an experimental result on the shape of liquid water supported by a small stainless helical wire, we find a class of stable helicoidal convex surfaces with constant mean curvature whose boundary consists of a single helix and two short arcs.
Yuta Hatakeyama, Miyuki Koiso
doaj   +1 more source

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