Conformal Kerr-Schild ansatz for all static spherically symmetric spacetimes

Abstract

This work presents a new method to apply the Hough Transform to 2D and 3D cloud points using the conformal geometric algebra framework. The objective is to detect geometric entities, with the use of simple parametric equations and the properties of the geometric algebra. We show with real images and RGB-D data that this new method is very useful to detect lines and circles in 2D and planes and spheres in 3D. " Springer-Verlag 2013.",,,,,,"10.1007/978-3-642-41822-8_10",,,"http://hdl.handle.net/20.500.12104/40295","http://www.scopus.com/inward/record.url?eid=2-s2.0-84893165831&partnerID=40&md5=1cab1d260232942ed9c39f8494151604",,,,,,"PART 1",,"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",,"73

83",,"8258 LNCS",,"Scopus",,,,,,,,,,,,"Conformal hough transform for 2D and 3D cloud points",,"Conference Paper" "42075","123456789/35008",,"Mitskievich, N.V., Departamento de Física, Universidad de Guadalajara, Guadalajara, Jalisco, Mexico, Russian University of Peoples' Friendship, Moscow, Russian Federation, Apartado postal 1-2011, 44100 Guadalajara, Jalisco, Mexico; Horsk , J., Department of Theoretical Physics and Astrophysics, Masaryk University, Kotlarska 2, 61137 Brno, Czech Republic",,"Mitskievich, N.V.

Horsky, J.",,"1996",,"We show that all static spherically symmetric spacetimes admit a conformally Kerr-Schild metric representation. " 1996 IOP Publishing Ltd.