Results 21 to 30 of about 938,544 (352)
Total Gaussian Curvature [PDF]
AbstractIf we know a plane curve $$\gamma \colon [a,b]\to \mathbb {R}^2$$ γ : [ a , b ] → ℝ
Ulrich Pinkall, Oliver Gross
openaire +2 more sources
A Discrete Scheme for Computing Image’s Weighted Gaussian Curvature [PDF]
International Conference on Information Photonics, 2021 Weighted Gaussian curvature is an important smoothness measurement for images. However, its conventional computation scheme has low performance, low accuracy and requires that the input image must be second order differentiable.
Yuanhao Gong +4 more
semanticscholar +1 more source
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications in Surface Smoothing and Imaging [PDF]
SIAM Journal on Scientific Computing, 2021 Gaussian curvature is an important geometric property of surfaces, which has been used broadly in mathematical modeling. Due to the full nonlinearity of the Gaussian curvature, efficient numerical methods for models based on it are uncommon in literature.
Hao Liu, Xuecheng Tai, R. Glowinski
semanticscholar +1 more source
Offset Ruled Surface in Euclidean Space with Density
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj +1 more source
GPR Image Clutter Suppression Using Gaussian Curvature Decomposition in the PCA Domain
Remote Sensing, 2022 Ground penetrating radar (GPR) is one of the most generally used underground sensing equipment, but it is frequently contaminated by clutter and noise during data acquisition, which has a significant impact on the detection performance of buried targets.
Qibin Su +5 more
semanticscholar +1 more source
International Journal of Metrology and Quality Engineering, 2023 The layout of measurement points is the key to the efficient inspection of free-form surfaces. Two algorithms are proposed for the layout of free-form surface measurement points: the free-form surface Gaussian curvature variation grid method and the ...
Zeng Linan, Chen Yueping
doaj +1 more source
Gaussian Curvature and Gyroscopes [PDF]
Communications on Pure and Applied Mathematics, 2017 We relate Gaussian curvature to the gyroscopic force, thus giving a mechanical interpretation of the former and a geometrical interpretation of the latter. We do so by considering the motion of a spinning disk constrained to be tangent to a curved surface.
Cox, Graham, Levi, Mark
openaire +2 more sources
Bianchi transformation of the pseudosphere
Дифференциальная геометрия многообразий фигур, 2023 The work is devoted to the study of the Bianchi transform for surfaces of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere (Beltrami surface).
M. A. Cheshkova
doaj +1 more source
Evolving, complex topography from combining centers of Gaussian curvature. [PDF]
Physical Review E, 2020 Liquid crystal elastomers and glasses can have significant shape change determined by their director patterns. Cones deformed from circular director patterns have nontrivial Gaussian curvature localized at tips, curved interfaces, and intersections of ...
F. Feng, J. Biggins, M. Warner
semanticscholar +1 more source
On the geometry of Liouville foliations [PDF]
E3S Web of Conferences, 2023 The paper studies the geometry of Liouville foliation generated by integrable Hamiltonian system. It is shown that regular leaves are two-dimensional surface of zero Gaussian curvature and zero Gaussian torsion.
Narmanov Abdigappar, Ergashova Shohida
doaj +1 more source