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Proceedings Paper

Space of circles: its applications in image processing
Author(s): Jean-Marie Becker; Stephane Grousson; Didier Guieu
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Paper Abstract

The 'space of circles' (Gamma) 2 is a representation space in which circles are considered as points. This paper first presents the main properties of this space, with special attention paid to its rich pseudo-euclidean structure, equivalent to duality with respect to a certain paraboloid. The interest of (Gamma) 2 for image processing is demonstrated by two applications regarding a finite set of points in the plane: its associated Voronoi tessellation, and a second one which deals with an efficient description of the circumscribed circle (minimal size surrounding circle) of the given set.

Paper Details

Date Published: 23 October 2000
PDF: 8 pages
Proc. SPIE 4117, Vision Geometry IX, (23 October 2000); doi: 10.1117/12.404826
Show Author Affiliations
Jean-Marie Becker, Ecole Superieure de Chimie Physique Electronique de Lyon (France)
Stephane Grousson, Ecole Superieure de Chimie Physique Electronique de Lyon (France)
Didier Guieu, Ecole Superieure de Chimie Physique Electronique de Lyon (France)


Published in SPIE Proceedings Vol. 4117:
Vision Geometry IX
Longin Jan Latecki; David M. Mount; Angela Y. Wu, Editor(s)

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