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Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral meshes
Gaussian Curvature Quadrilateral Mesh Convergence
2012/8/7
We propose a discrete approximation of the Gaussian curvature over quadrilateral
meshes using a linear combination of two angle de痗its. Suppose a surface mesh is
obtained from a sampling of a smooth...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
On the Local Isometric Embedding in R^3 of Surfaces with Gaussian Curvature of Mixed Sign
Local Isometric Embedding R^3 of Surfaces Gaussian Curvature of Mixed Sign
2010/12/15
We study the old problem of isometrically embedding a 2-dimensional Rie-mannian manifold into Euclidean 3-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set co...
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
2012/8/1
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...