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Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space. [PDF]
Bashir S, Ahmad D.
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Design and mechanical behavior of hyperbolic weaves with naturally curved ribbons. [PDF]
Song G, Sun B.
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Homology groups in CR-warped products of complex space forms. [PDF]
Li Y +4 more
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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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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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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}^{
Y L Xin, Xin Y L
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Nonhomogeneous Gauss Curvature Flows
Indiana University Mathematics Journal, 1998The authors study Gauss curvature flows of hypersurfaces with an arbitrary speed function, not necessarily homogeneous. Given a closed convex \(n\)-dimensional hypersurface \(M_0\) in \(\mathbb{R}^{n+1}\), the authors consider its expansion along its outward normal vector direction with speed equal to a given function \(F(1/K)\), where \(K\) is the ...
Chow, Bennett, Tsai, Dong-Ho
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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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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 $α$-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 $α$-power of positive part of Gauss Curvature. For $\frac{1}{n}
Kim, Lami, Lee, Ki-ahm
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