Results 21 to 30 of about 24,625 (256)
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
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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.
Yıldız Önder Gökmen +2 more
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Some Characterizations of Generalized Null Scrolls
Mathematics, 2019 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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Light in curved two-dimensional space
Advances in Physics: X, 2020 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
Computational and Mathematical Biophysics, 2020 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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The Relationship of the Gaussian Curvature with the Curvature of a Cowen-Douglas Operator
, 2023 It has been recently shown that if $K$ is a sesqui-analytic scalar valued non-negative definite kernel on a domain $Ω$ in $\mathbb C^m$, then the function $\big(K^2\partial_i\bar{\partial}_j\log K\big )_{i,j=1}^ m,$ is also a non-negative definite kernel on $Ω$. In this paper, we discuss two consequences of this result.
Ghara, Soumitra, Misra, Gadadhar
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The curvature effect in Gaussian random fields
Journal of Physics: Complexity, 2022 Abstract Random field models are mathematical structures used in the study of stochastic complex systems. In this paper, we compute the shape operator of Gaussian random field manifolds using the first and second fundamental forms (Fisher information matrices).
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‘Classical’ coherent state generated by curved surface
New Journal of Physics, 2022 Analogous coherent states are deduced from classical optical fields on curved surface in this paper. The Gaussian laser beam, as a fundamental mode, cannot be adequately simulated by coherent states due to their inherent diffraction in flat space. But it
Weifeng Ding, Zhaoying Wang
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Geometrical Aspect of Compressibility Critical Exponent
Frontiers in Physics, 2022 Critical exponent γ ⪰ 1.1 characterizes the behavior of the mechanical compressibility of a real fluid when the temperature approaches the critical one.
J. S. Yu, W. K. Du, Q. H. Liu
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A best constant and the Gaussian curvature [PDF]
Proceedings of the American Mathematical Society, 1986 For axisymmetric f ∈
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