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Area preserving geodesic curvature driven flow of closed curves on a surface
We investigate a non-local geometric flow preserving surface area enclosed by a curve on a given surface evolved in the normal direction by the geodesic curvature and the external force. We show how such a flow...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On surface area and length preserving flows of closed curves on a given surface
In this paper we investigate two non-local geometric geodesic curvature driven flows of closed curves preserving either their enclosed surface area or their total preserving flows of surface curve...
Applied mathematics
- 2019 •
- D •
- Link
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D - Stať ve sborníku
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Geometrical Applications of Mean Curvature Flow
This contribution deals with the consrained mean curvature flow for closed planar curves and open planar curves with fixed endpoints. We particularly focus on the area preserving mean curvature flow
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
Computational studies of conserved mean-curvature flow
The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crystalline materials and describes the evolution of close...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Consistency of the Flat Flow Solution to the Volume Preserving Mean Curvature Flow
scheme, to the volume preserving mean curvature flow starting from C(1,)1-regular set. We prove the consistency principle, which states that (any) flat flow solution discretization. Our method can also be applied ...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Computational analysis of the conserved curvature driven flow for open curves in the plane
The paper studies the constrained curvature flow for open planar curves the evolution of closed embedded curves with constant enclosed area. We show that the area is preserved for open curves with fixed en...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Asympotic Behavior of Solutions to an Area-preserving Motion by Crystalline Curvature
Not available...
BB - Aplikovaná statistika, operační výzkum
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A variational method for multiphase volume-preserving interface motions
We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose volumes are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence?Merriman?...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
MINIMAL SURFACE GENERATING FLOW FOR SPACE CURVES OF NON-VANISHING TORSION
This article introduces new geometric flow for space curves with positive curvature and torsion. Curves evolving according to this motion law trace out a zero mean curvature surface. First, the geometry of surfaces defined ...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Multiphase volume-preserving interface motions via localized signed distance vector scheme
We develop a signed distance vector approach for approximating volume-preserving mean curvature motions of interfaces separating multiple phases -- a variant of the BMO (Bence-Merriman-Osher) thresholding dynamics. We adopt a variat...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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