Results 11 to 20 of about 938,544 (352)

The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram [PDF]

Computational and Mathematical Biophysics, 2019
The morphometric approach [11, 14] writes the solvation free energy as a linear combination of weighted versions of the volume, area, mean curvature, and Gaussian curvature of the space-filling diagram.
A. Akopyan, H. Edelsbrunner
semanticscholar   +2 more sources

Gaussian mean curvature flow [PDF]

Journal of Evolution Equations, 2010
10 ...
Borisenko, Alexander A., Miquel, Vicente
openaire   +4 more sources

Computing Gaussian Curvature in Real-Time for 4K Video Processing

IEEE Access, 2019
Computing Gaussian curvature is a fundamental task in image and video processing. However, this task becomes more and more time consuming when the image resolution goes higher and higher. In this paper, we tackle this issue from two aspects.
Yuanhao Gong, Yong Chen
semanticscholar   +3 more sources

Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we construct a helicoidal surface of type I+ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space ℝ13 ${\Bbb R}_1^3$ with a positive density function. We get a result for minimal case.
Ö. G. Yıldız, S. Hizal, M. Akyiğit
semanticscholar   +2 more sources

Modular Gaussian curvature [PDF]

Advances in Noncommutative Geometry, 2018
This is a brief survey of the main developments that led to the emergence of the quantized analogue of Gaussian curvature for the noncommutative torus and to its current understanding.
M. Lesch, H. Moscovici
semanticscholar   +4 more sources

Prescribing Gaussian and Geodesic Curvature on Disks [PDF]

Advanced Nonlinear Studies, 2018
Abstract In this paper, we consider the problem of prescribing the Gaussian and geodesic curvature on a disk and its boundary, respectively, via a conformal change of the metric. This leads us to a Liouville-type equation with a non-linear Neumann boundary condition.
Cruz-Blázquez, Sergio, Ruiz, David
openaire   +3 more sources

Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature

, 2017
We consider the numerical approximation of surfaces of prescribed Gaussian curvature via the solution of a fully nonlinear partial differential equation of Monge-Ampere type.
B. F. Hamfeldt
semanticscholar   +3 more sources

Gaussian Curvature Directs Stress Fiber Orientation and Cell Migration. [PDF]

Biophys J, 2018
Nathan D Bade, Tina Xu, R. Kamien, R. Assoian, K. Stebe   +4 more
semanticscholar   +2 more sources

Affine Translation Surfaces with Constant Gaussian Curvature

Kyungpook mathematical journal, 2010
Summary: We study affine translation surfaces in \(\mathbb R^3\) and get a complete classification of such surfaces with constant Gauss-Kronecker curvature.
Fu, Yu, Hou, Zhong-Hua
openaire   +4 more sources

SARS-CoV-2 peptide fragments selectively dysregulate specific immune cell populations via Gaussian curvature targeting. [PDF]

Proc Natl Acad Sci U S A
Zhang Y, Silvestre-Roig C, Fu H, Alimohamadi H, Mandal T, Chen JW, Luo EW, Anda J, Linard Matos AL, Richter M, Mennella A, Lee H, Chan LC, Wang Y, Wang N, Wang H, Wang X, Lee CK, Ghosh S, Matsui T, Weiss TM, Guo T, Zhang M, Li D, Wolfgang MC, Hagan RS, Li MMH, Gunzer M, Sickmann A, Frasca L, Yeaman MR, Lande R, Cui Q, Soehnlein O, Wong GCL.   +34 more
europepmc   +2 more sources