Results 11 to 20 of about 28,609 (295)
The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram
Computational 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
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we construct a helicoidal surface of type I+ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space ℝ13${\Bbb R}_1^3$with a positive density function. We get a result for minimal case.
Yıldız Önder Gökmen +2 more
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Minimizing Absolute Gaussian Curvature Locally [PDF]
, 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
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International Journal of Metrology and Quality Engineering, 2023 The layout of measurement points is the key to the efficient inspection of free-form surfaces. Two algorithms are proposed for the layout of free-form surface measurement points: the free-form surface Gaussian curvature variation grid method and the ...
Zeng Linan, Chen Yueping
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Bianchi transformation of the pseudosphere
Дифференциальная геометрия многообразий фигур, 2023 The work is devoted to the study of the Bianchi transform for surfaces of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere (Beltrami surface).
M. A. Cheshkova
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On the geometry of Liouville foliations [PDF]
E3S Web of Conferences, 2023 The paper studies the geometry of Liouville foliation generated by integrable Hamiltonian system. It is shown that regular leaves are two-dimensional surface of zero Gaussian curvature and zero Gaussian torsion.
Narmanov Abdigappar, Ergashova Shohida
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Transformation of Bianchi for Minding Top
Дифференциальная 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
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Computational analysis of hygromorphic self-shaping wood gridshell structures [PDF]
Royal Society Open Science, 2020 Bi-layered composites capable of self-shaping are of increasing relevance to science and engineering. They can be made out of anisotropic materials that are responsive to changes in a state variable, e.g.
Philippe Grönquist +5 more
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Curvature-Mediated Forces on Elastic Inclusions in Fluid Interfaces
, 2022 Heterogeneous fluid interfaces often include two-dimensional solid domains that mechanically respond to changes in interfacial curvature. While this response is well-characterized for rigid inclusions, the influence of solid-like elasticity remains ...
Todd M. Squires +3 more
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Gaussian mean curvature flow [PDF]
Journal of Evolution Equations, 2010 10 ...
Borisenko, Alexander A., Miquel, Vicente
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