D. Hildenbrand, E.S.M.Hitzer
in Braz, J. (ed.), GRAPP 2008, 3rd Int. Conf. on Computer Graphics Theory and Applications. Proc.: Funchal, Madeira, Portugal, January 22-25, 2008, Porto: INSTICC Press, pp. 99-106 (2008).
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.
Keywords. geometric algebra, geometric computing, point clouds, osculating circle, ﬁtting of spheres, bounding spheres.
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