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Analysis of point clouds

Using conformal geometric algebra
 
: Hildenbrand, Dietmar; Hitzer, Eckhard

Braz, J. ; Institute for Systems and Technologies of Information, Control and Communication -INSTICC-, Setubal; University of Madeira:
GRAPP 2008, Third International Conference on Computer Graphics Theory and Applications. Proceedings : Funchal, Madeira, Portugal, January 22 -- 25, 2008
Porto: INSTICC Press, 2008
ISBN: 978-989-8111-20-3
pp.99-106
International Conference on Computer Graphics Theory and Applications (GRAPP) <3, 2008, Funchal>
English
Conference Paper
Fraunhofer IGD ()
geometric algebra; geometric computing; point cloud

Abstract
This paper presents some basics for the analysis of point clouds using the geometrically intuitive mathematical framework of conformal geometric algebra. In this framework it is easy to compute with osculating circles for the description of local curvature. Also methods for the fitting of spheres as well as bounding spheres are presented. In a nutshell, this paper provides a starting point for shape analysis based on this new, geometrically intuitive and promising technology.

: http://publica.fraunhofer.de/documents/N-69079.html