Results 21 to 30 of about 191,077 (277)
Computing Gaussian Curvature in Real-Time for 4K Video Processing
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
doaj +1 more source
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.
Yıldız Önder Gökmen +2 more
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Geometrical estimators as a test of Gaussianity in the CMB [PDF]
We investigate the power of geometrical estimators on detecting non-Gaussianity in the cosmic microwave background. In particular the number, eccentricity and Gaussian curvature of excursion sets above (and below) a threshold are studied.
Barreiro, R. B. +2 more
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Some Characterizations of Generalized Null Scrolls
In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed.
Jinhua Qian +2 more
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Existence and non existence results for the singular Nirenberg problem [PDF]
In this paper we study the problem, posed by Troyanov (Trans AMS 324: 793–821, 1991), of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities.
DE MARCHIS, Francesca +1 more
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Gaussian curvature from flat elastica sheets [PDF]
We discuss methods of reversibly inducing non-developable surfaces from flat sheets of material at the micro-scale all the way to macroscopic objects. We analyse the elastic ground states of a nematic glass in the membrane approximation as a function of temperature for disclination defects of topological charge +1.
Modes, C. D. +2 more
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Light in curved two-dimensional space
The extrinsic and intrinsic curvature of a two-dimensional waveguide influences wave propagation therein. While this can already be apprehended from a geometric point of view in terms of geodesics generalizing straight lines as the shortest distance ...
Vincent H. Schultheiss +2 more
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The Weighted Mean Curvature Derivative of a Space-Filling Diagram
Representing an atom by a solid sphere in 3-dimensional Euclidean space, we get the space-filling diagram of a molecule by taking the union. Molecular dynamics simulates its motion subject to bonds and other forces, including the solvation free energy ...
Akopyan Arsenyi, Edelsbrunner Herbert
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Shape programming lines of concentrated Gaussian curvature [PDF]
Liquid crystal elastomers (LCEs) can undergo large reversible contractions along their nematic director upon heating or illumination. A spatially patterned director within a flat LCE sheet, thus, encodes a pattern of contraction on heating, which can morph the sheet into a curved shell, akin to how a pattern of growth sculpts a developing organism ...
Duffy, D +9 more
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Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary [PDF]
We investigate the zero temperature structure of a crystalline monolayer constrained to lie on a two-dimensional Riemannian manifold with variable Gaussian curvature and boundary.
D. P. Hardin +9 more
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