Construction of Geodesics on Surfaces of Revolution of Constant Gaussian Curvature
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-021-05234-4
Abstract: Using the mathematical MAPLE package, we construct models of surfaces of revolution of constant Gaussian curvature and geodesic lines on such surfaces. read more here.
Keywords: revolution constant; constant gaussian; gaussian curvature; construction geodesics ... See more keywords
GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES
Sign Up to like & getrecommendations! Published in 2019 at "Nagoya Mathematical Journal"
DOI: 10.1017/nmj.2019.5
Abstract: In this article, we establish a new estimate for the Gaussian curvature of open Riemann surfaces in Euclidean three-space with a specified conformal metric regarding the uniqueness of the holomorphic maps of these surfaces. As… read more here.
Keywords: space; three space; maps various; gauss maps ... See more keywords
Conforming nanoparticle sheets to surfaces with Gaussian curvature.
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DOI: 10.1039/c8sm01640b
Abstract: Nanoparticle monolayer sheets are ultrathin inorganic-organic hybrid materials that combine highly controllable optical and electrical properties with mechanical flexibility and remarkable strength. Like other thin sheets, their low bending rigidity allows them to easily roll… read more here.
Keywords: gaussian curvature; conforming nanoparticle; surfaces gaussian; nanoparticle sheets ... See more keywords
Gaussian curvature–driven direction of cell fate toward osteogenesis with triply periodic minimal surface scaffolds
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2206684119
Abstract: Significance This article reports an exciting breakthrough in the translation of the biomimicking hyperboloidal structure into three-dimensional tissue-engineered bone grafts and reveals how the nature-derived hyperboloid structure affects osteogenesis and angiogenesis for expedited bone regeneration.… read more here.
Keywords: topography; curvature driven; driven direction; gaussian curvature ... See more keywords
Light in curved two-dimensional space
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Physics: X"
DOI: 10.1080/23746149.2020.1759451
Abstract: ABSTRACT 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… read more here.
Keywords: curved two; field; light curved; two dimensional ... See more keywords
Positive disclination in a thin elastic sheet with boundary.
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DOI: 10.1103/physreve.104.065002
Abstract: An isolated positive wedge disclination deforms an initially flat elastic sheet into a perfect cone when the sheet is of infinite extent and is elastically inextensible. The latter requires the elastic stretching strains to be… read more here.
Keywords: field; sheet; gaussian curvature; dirac singularity ... See more keywords
Computing Gaussian Curvature in Real-Time for 4K Video Processing
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DOI: 10.1109/access.2019.2936270
Abstract: 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… read more here.
Keywords: time; video processing; gaussian curvature; curvature ... See more keywords
A new Gaussian curvature of the image surface based variational model for haze or fog removal
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DOI: 10.1371/journal.pone.0282568
Abstract: Outdoor images are usually affected by haze which limits the visibility and reduces the contrast of the images. Removal of haze from real-world images is always a challenging task. Recently, many mathematical models have been… read more here.
Keywords: gaussian curvature; haze; model; image ... See more keywords
A flow approach to the prescribed Gaussian curvature problem in ℍ𝑛+1
Sign Up to like & getrecommendations! Published in 2023 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2022-0033
Abstract: Abstract In this paper, we study the following prescribed Gaussian curvature problem: K = f ~ ( θ ) ϕ ( ρ ) α − 2 ϕ ( ρ ) 2… read more here.
Keywords: problem; rho; gaussian curvature; curvature problem ... See more keywords
MG-deformations of a surface of positive Gaussian curvature under assignment of variation of any tensor along an edge
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DOI: 10.3103/s1066369x17120027
Abstract: We investigate the infinitesimal MG-deformations of a simply connected surface with positive Gaussian curvature. We choose any symmetric tensor on the surface, variation of the first and the second invariant of this tensor equals given… read more here.
Keywords: variation; tensor; surface positive; positive gaussian ... See more keywords