Results 31 to 40 of about 13,504 (166)
Construction of Developable Surface with Geodesic or Line of Curvature Coordinates
Journal of New Theory, 2021 In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
doaj +1 more source
, 2004 Publication in the conference proceedings of EUSIPCO, Viena, Austria ...
Anthony Yezzi +1 more
openaire +3 more sources
Variations on the Theme “Definition of the Orthodrome”
ISPRS International Journal of Geo-InformationA geodesic or geodetic line on a sphere is called the orthodrome. Research has shown that the orthodrome can be defined in a large number of ways. This article provides an overview of various definitions of the orthodrome.
Miljenko Lapaine
doaj +1 more source
Brownian Motion in Minkowski Space
Entropy, 2015 We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. The first is to define a sequence of stopping times associated with the Brownian “kicks” or impulses.
Paul O'Hara, Lamberto Rondoni
doaj +1 more source
, 2021 We describe, in an intrinsic way and using the global chart provided by Ito's parallel transport, a generalisation of the notion of geodesic (as critical path of an energy functional) to diffusion processes on Riemannian manifolds. These stochastic processes are no longer smooth paths but they are still critical points of a regularised stochastic ...
Cruzeiro, Ana Bela +1 more
openaire +2 more sources
A Geodesic-Based Riemannian Gradient Approach to Averaging on the Lorentz Group
Entropy, 2017 In this paper, we propose an efficient algorithm to solve the averaging problem on the Lorentz group O ( n , k ) . Firstly, we introduce the geometric structures of O ( n , k ) endowed with a Riemannian metric where geodesic could be ...
Jing Wang, Huafei Sun, Didong Li
doaj +1 more source
A unified method for constructing developable surface pencils interpolating characteristic curves
Frontiers in Physics, 2022 Developable surface is a simple and common surface in surface modeling. Geodesic, line of curvature, asymptotic curve, and D-type curve are important characteristic curves on the surfaces.
Jun Wang, Miaochao Chen, Dongyin Wang
doaj +1 more source
Physica A: Statistical Mechanics and its Applications25 pages, 2 figures.
Barua, Arnab +2 more
openaire +3 more sources
Optimization over geodesics for exact principal geodesic analysis [PDF]
Advances in Computational Mathematics, 2013 Revised version to be published in Advances in Computational ...
Stefan Sommer +2 more
openaire +5 more sources
A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
doaj