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Mesh segmentation driven by Gaussian curvature
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
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Minimizing Absolute Gaussian Curvature Locally [PDF]
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
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The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram [PDF]
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
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Geodesic on surfaces of constant Gaussian curvature [PDF]
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
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The Variational Origin of Motion by Gaussian Curvature
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
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Primordial black holes in non-linear perturbation theory [PDF]
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
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Gaussian Curvature and Gyroscopes [PDF]
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
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Transformation of Bianchi for Minding Top
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
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Gaussian mean curvature flow [PDF]
10 ...
Borisenko, Alexander A., Miquel, Vicente
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NORMALIZATION OF CLASSICAL HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
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
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