Results 241 to 250 of about 191,077 (277)

Gaussian curvature on singular surfaces

Journal of Geometric Analysis, 1993
We consider the problem of prescribing Gaussian curvature on surfaces with conical singularities in both critical and super critical cases. First we prove a variant of Kazdan-Warner type necessary conditions. Then we obtain sufficient conditions for a function to be the Gaussian curvature of some pointwise conformal singular metric.
Chen, Wenxiong, Li, Congming
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Graph Regularisation Using Gaussian Curvature

2009
This 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.
Elghawalby H., Hancock E.R.
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Gaussian curvature-based geometric invariance

2009 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2009
In this paper we derive a novel geometric invariance on surfaces that it is preserved under affine and weak perspective transformations, and it is local, intrinsic and computed from the differential geometry of the surface. Our 3D shape features are based on the Gaussian curvature and Mean curvature.
P. Tosranon, A. Sanpanich, C. Bunluechokchai, C. Pintavirooj   +3 more
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Hypothetical graphite structures with negative gaussian curvature

Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1993
We consider the geometries of hypothetical structures, derived from a graphite net by the inclusion of rings of seven or eight bonds, which may be periodic in three dimensions. Just as the positive curvature of fullerene sheets is produced by the presence of pentagons, so negative curvature appears with a mean ring size of more than six.
Mackay, A. L., Terrones, H.
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Surfaces of Gaussian Curvature Zero

2014
Classification of surfaces of Gaussian curvature zero (Gauss flat, two-dimensional Riemann manifolds) in a two-dimensional Euclidean space, ruled surfaces, developable surfaces.
Erik W. Grafarend, Rey-Jer You, Rainer Syffus   +2 more
openaire   +1 more source

Gaussian Curvature, Mirrors, and Maps

The American Mathematical Monthly, 2012
We 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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Gaussian, mean and principal curvatures

2010
In this chapter, we show how to extract geometric information from the second fundamental form of a surface or, equivalently, from its Weingarten map.
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Gaussian Process Regression for Materials and Molecules

Chemical Reviews, 2021
Volker L Deringer, Albert P Bartók, Noam Bernstein   +2 more
exaly  

Gaussian Curvature

2021
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Gaussian Curvature and Local Embedding

American Journal of Mathematics, 1951
Hartman, Philip, Wintner, Aurel
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