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Mesh segmentation driven by Gaussian curvature

open access: yesThe Visual Computer, 2005
Mesh parameterization is a fundamental problem in computer graphics as it allows for texture mapping and facilitates many mesh processing tasks. Although there exists a variety of good parameterization methods for meshes that are topologically equivalent to a disk, the segmentation into nicely parameterizable charts of higher genus meshes has been ...
Yamauchi, H.   +3 more
openaire   +3 more sources

Minimizing Absolute Gaussian Curvature Locally [PDF]

open access: yes, 2009
One of the remaining challenges when reconstructing a surface from a finite sample is recovering non-smooth surface features like sharp edges. There is practical evidence showing that a two step approach could be an aid to this problem, namely, first computing a polyhedral reconstruction isotopic to the sampled surface, and secondly ...
Giesen, Joachim, Madhusudan, Manjunath
openaire   +5 more sources

The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram [PDF]

open access: yesComputational and Mathematical Biophysics, 2020
The morphometric approach [11, 14] writes the solvation free energy as a linear combination of weighted versions of the volume, area, mean curvature, and Gaussian curvature of the space-filling diagram.
Akopyan Arsenyi, Edelsbrunner Herbert
doaj   +2 more sources

Geodesic on surfaces of constant Gaussian curvature [PDF]

open access: yes, 2006
The goal of the thesis is to study geodesics on surfaces of constant Gaussian curvature. The first three sections of the thesis is dedicated to the definitions and theorems necessary to study surfaces of constant Gaussian curvature.
Chiek, Veasna
core   +8 more sources

The Variational Origin of Motion by Gaussian Curvature

open access: yes, 2007
A variational formulation of an image analysis problem has the nice feature that it is often easier to predict the effect of minimizing a certain energy functional than to interpret the corresponding Euler-Lagrange equations. For example, the equations of motion for an active contour usually contains a mean curvature term, which we know will ...
Niels Chr. Overgaard, Jan Erik Solem
openaire   +3 more sources

Primordial black holes in non-linear perturbation theory [PDF]

open access: yes, 2009
PhDThe thesis begins with a study of the origin of non-linear cosmological fluctuations. In particular, a class of models of multiple field inflation are considered, with specific reference to those cases in which the non-Gaussian correlation functions
Hidalgo-Cuellar, Juan Carlos
core   +4 more sources

Gaussian Curvature and Gyroscopes [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2017
We relate Gaussian curvature to the gyroscopic force, thus giving a mechanical interpretation of the former and a geometrical interpretation of the latter. We do so by considering the motion of a spinning disk constrained to be tangent to a curved surface.
Cox, Graham, Levi, Mark
openaire   +2 more sources

Transformation of Bianchi for Minding Top

open access: yesДифференциальная геометрия многообразий фигур, 2021
The work is devoted to the study of the Bianchi transform for surfac­es of revolution of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere ...
M.A. Cheshkova
doaj   +1 more source

Gaussian mean curvature flow [PDF]

open access: yesJournal of Evolution Equations, 2010
10 ...
Borisenko, Alexander A., Miquel, Vicente
openaire   +2 more sources

NORMALIZATION OF CLASSICAL HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2020
The family of the Hamiltonian systems with two degrees of freedom was investigated. The calculations of the Poincaré sections show that with arbitrary values of the parameters of the Hamilton function, the system is non-integrable and dynamic chaos is ...
I.N. Belyaeva   +4 more
doaj   +1 more source

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