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Homology groups in CR-warped products of complex space forms. [PDF]

open access: yesHeliyon
Li Y   +4 more
europepmc   +1 more source

Noise removal with Gauss curvature-driven diffusion

IEEE Transactions on Image Processing, 2005
In 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
exaly   +3 more sources

An inverse Gauss curvature flow to the L-Gauss Minkowski problem

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Bin, Shi, Wei, Wang, Weidong
exaly   +2 more sources

Mean Curvature Flow with Bounded Gauss Image

Results in Mathematics, 2011
The 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
exaly   +3 more sources

Nonhomogeneous Gauss Curvature Flows

Indiana University Mathematics Journal, 1998
The 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
openaire   +2 more sources

Gauss curvature flow with an obstacle

Calculus of Variations and Partial Differential Equations, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Ki-Ahm, Lee, Taehun
openaire   +2 more sources

Hypersurfaces with Prescribed Affine Gauss–Kronecker Curvature

Geometriae Dedicata, 2000
It 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
openaire   +1 more source

$α$-Gauss Curvature flows

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
openaire   +1 more source

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