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Pocket-Surface Discrete Differential Geometry as a Leakage-Robust Feature Class for Protein-Ligand Binding Affinity Prediction. [PDF]
MoleculesBalcı MA +3 more
europepmc +1 more source
Discrete Gaussian Curvature Flow for Piecewise Constant Gaussian Curvature Surface [PDF]
CAD Computer Aided Design, 2021 Abstract A method is presented for generating a discrete piecewise constant Gaussian curvature (CGC) surface. An energy functional is first formulated so that its stationary point is the linear Weingarten (LW) surface, which has a property such that the weighted sum of mean and Gaussian curvatures is constant.
Kazuki Hayashi +2 more
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Discrete schemes for Gaussian curvature and their convergence [PDF]
Computers and Mathematics With Applications, 2009 In this paper, several discrete schemes for Gaussian curvature are surveyed. The convergence property of a modified discrete scheme for the Gaussian curvature is considered. Furthermore, a new discrete scheme for Gaussian curvature is resented. We prove that the new scheme converges at the regular vertex with valence not less than 5.
Zhiqiang Xu, Guoliang Xu
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Journal of Differential Equations, 2021
The authors study the Nirenberg problem on \(S^2\): Given a smooth function \(f:S^2\to\mathbb{R}\) which is positive somewhere, does there exist a metric \(g\) on \(S^2\) conformally equivalent to the standard metric \(g_0\) and having Gaussian curvature \(f\). The main theorem states that a solution exists under the following assumptions. (a) Critical
Xuezhang Chen +3 more
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The authors study the Nirenberg problem on \(S^2\): Given a smooth function \(f:S^2\to\mathbb{R}\) which is positive somewhere, does there exist a metric \(g\) on \(S^2\) conformally equivalent to the standard metric \(g_0\) and having Gaussian curvature \(f\). The main theorem states that a solution exists under the following assumptions. (a) Critical
Xuezhang Chen +3 more
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The Gaussian and mean curvature criteria for curvature continuity between surfaces
Computer Aided Geometric Design, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiuzi Ye
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Gaussian Curvature, Mirrors, and Maps
The American Mathematical Monthly, 2012We present a method to optically measure the Gaussian curvature K of a surface and show how it can be used to establish a link between surfaces with constant K and area preserving maps between a sp...
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Graph Regularisation Using Gaussian Curvature
2009This paper describes a new approach for regularising triangulated graphs. We commence by embedding the graph onto a manifold using the heat-kernel embedding. Under the embedding, each first-order cycle of the graph becomes a triangle. Our aim is to use curvature information associated with the edges of the graph to effect regularisation.
Hewayda ElGhawalby, Edwin R. Hancock
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