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Forced anisotropic mean curvature flow of graphs in relative geometry
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsle...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Comparison study of image segmentation techniques by curvature-driven flow of graphs
In this paper, we deal with image segmentation by a curvature-driven flow of graphs. We focus on images, where the segmented objects can be represented by 1D graphs of functions. Compared to the usual direct approa...
Applied mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The CUDA implentation of the method of lines for the curvature dependent flows
We study use of GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in the image process...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Numerical solution for the anisotropic Willmore flow of graphs
The Willmore flow is well known problem from the differential geometry. It minimizes the Willmore functional defined as integral of the mean-curvature square over given manifold. For the graph formulation, we derive modific...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Numerical Simulation of Anisotropic Mean Curvature of Graphs in Relative Geometry
.: Diffuse-Interface Treatment of the Anisotropic Mean-Curvature Flow, ApplicationsThe aim of this paper is the numerical simulation of anisotropic mean curvature of graphs in the context of relative geometry, deve...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A topological description of 2D manifold objects
This paper dedicated to a proposition of a 3d feature extraction method for 2-manifolds on the basis of a topological and geometrical description. The Morse theory, curvatures, the Reeb graph are used and their combination gives a p...
JD - Využití počítačů, robotika a její aplikace
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Topics in mathematical modeling
The text is composed of chapters written by contributing coauthors and covers issues of the mean-curvature flow.
BA - Obecná matematika
- 2008 •
- B
Rok uplatnění
B - Odborná kniha
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
Výsledek na webu
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 in the ca...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Application of a Curvature Adjusted Method in Image Segmentation
This article deals with flow of plane curves driven by the curvature and external force. We make use of such a geometric flow for the purpose of image segmentation. A parametric model for evolving curves with uniform and
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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