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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...
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...
On the Characteristic Curvature Operator     the Characteristic Curvature Operator  math       font style='font-size:12px;'> 2010/11/11
We introduce the Characteristic Curvature as the curvature of the trajectories of the hamiltonian vector field with respect to the normal direction to the isoenergetic surfaces and by using the Secon...
In this paper a convergent series expansion is constructed to solve the prescribed mean curvature equation ±∇·(∇u/p1 ± |∇u|2) = nH for n-dimensional hypersurfaces in Rn+1 (+ sign) an...
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...

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