Results 131 to 140 of about 2,543 (168)
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2013
In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in $\mathbb R^{n+1}$ whose speed at a point on the hypersurface is proportional to $ $-power of positive part of Gauss Curvature. For $\frac{1}{n}
Kim, Lami, Lee, Ki-ahm
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In this paper, we study the deformation of the n-dimensional strictly convex hypersurface in $\mathbb R^{n+1}$ whose speed at a point on the hypersurface is proportional to $ $-power of positive part of Gauss Curvature. For $\frac{1}{n}
Kim, Lami, Lee, Ki-ahm
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Gauss curvature flow with an obstacle
Calculus of Variations and Partial Differential Equations, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Ki-Ahm, Lee, Taehun
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Hypersurfaces with Prescribed Affine Gauss–Kronecker Curvature
Geometriae Dedicata, 2000It is well known that on a nondegenerate hypersurface in \(\mathbb{R}^{n+1}\), it is possible to introduce a canonical transversal vector field, called the affine normal. Using this affine normal, it is then possible, similar as in the Euclidean case, to introduce a connection (the induced affine connection), a symmetric bilinear form \(h\) (the affine
Li, Anmin, Simon, Udo, Zhao, Guosong
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Noise removal with Gauss curvature-driven diffusion
IEEE Transactions on Image Processing, 2005In this paper, we propose the use of the Gauss curvature in a Gauss curvature-driven diffusion equation for noise removal. The proposed scheme uses the Gauss curvature as the conductance term and controls the amount of diffusion. The main advantage of the scheme is that it preserves important structures, such as straight edges, curvy edges, ramps ...
Suk-Ho, Lee, Jin Keun, Seo
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Mean Curvature Flow with Bounded Gauss Image
Results in Mathematics, 2011The author studies the mean curvature flow of a space-like submanifold \(M^{m}\) with codimension \(n\) in a pseudo-Riemannian manifold \(\mathbb{R}^{m+n}_{n}\), where \(\mathbb{R}^{m+n}_{n}\) denotes the Euclidean space \(\mathbb{R}^{m+n}\) together with the bilinear form given by \(\langle x,y \rangle = \sum_{i=1}^{m} x_{i} y_{i} - \sum_{\alpha=m+1}^{
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Gauss Inner Curvature of Surfaces
1997Gauss discovers a number of properties of two-dimensional submanifolds of ℝ3, which can be understood as M 2, that is, as two-dimensional differential manifolds ‘on their own’ i.e., without any reference to the question if they are isomorphically imbedded in ℝ3 or not.
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An inverse Gauss curvature flow to the L-Gauss Minkowski problem
Journal of Mathematical Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Bin, Shi, Wei, Wang, Weidong
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��-Gauss Curvature flows with flat sides
2011In this paper, we study the deformation of the 2 dimensional convex surfaces in $\R^{3}$ whose speed at a point on the surface is proportional to $ $-power of positive part of Gauss Curvature.
Kim, Lami, Lee, Ki-ahm, Rhee, Eunjai
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