Gaussian Curvature in Propagation Problems in Physics and Engineering

Gaussian Curvature in Propagation Problems in Physics and Engineering

The computation of the Gaussian curvature of a surface is a requirement in many propagation problems in physics and engineering. A formula is developed for the calculation of the Gaussian curvature by knowledge of two close geodesics on the surface, or alternatively from the projection (i.e., image)...

Full description

Bibliographic Details
Main Author: Ezzat G. Bakhoum
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/371890
id doaj-20cb5a0cc9394b1495b7837699b07675
record_format Article
spelling doaj-20cb5a0cc9394b1495b7837699b076752020-11-24T21:54:15ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/371890371890Gaussian Curvature in Propagation Problems in Physics and EngineeringEzzat G. Bakhoum0Department of Electrical and Computer Engineering, University of West Florida, 11000 University Parkway, Pensacola, FL 32514, USAThe computation of the Gaussian curvature of a surface is a requirement in many propagation problems in physics and engineering. A formula is developed for the calculation of the Gaussian curvature by knowledge of two close geodesics on the surface, or alternatively from the projection (i.e., image) of such geodesics. The formula will be very useful for problems in general relativity, civil engineering, and robotic navigation.http://dx.doi.org/10.1155/2012/371890
collection DOAJ
language English
format Article
sources DOAJ
author Ezzat G. Bakhoum
spellingShingle Ezzat G. Bakhoum
Gaussian Curvature in Propagation Problems in Physics and Engineering
Mathematical Problems in Engineering
author_facet Ezzat G. Bakhoum
author_sort Ezzat G. Bakhoum
title Gaussian Curvature in Propagation Problems in Physics and Engineering
title_short Gaussian Curvature in Propagation Problems in Physics and Engineering
title_full Gaussian Curvature in Propagation Problems in Physics and Engineering
title_fullStr Gaussian Curvature in Propagation Problems in Physics and Engineering
title_full_unstemmed Gaussian Curvature in Propagation Problems in Physics and Engineering
title_sort gaussian curvature in propagation problems in physics and engineering
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description The computation of the Gaussian curvature of a surface is a requirement in many propagation problems in physics and engineering. A formula is developed for the calculation of the Gaussian curvature by knowledge of two close geodesics on the surface, or alternatively from the projection (i.e., image) of such geodesics. The formula will be very useful for problems in general relativity, civil engineering, and robotic navigation.
url http://dx.doi.org/10.1155/2012/371890
work_keys_str_mv AT ezzatgbakhoum gaussiancurvatureinpropagationproblemsinphysicsandengineering
_version_ 1725868141210238976

Similar Items