Space of circles: its applications in image processing

Jean-Marie Becker; Stephane Grousson; Didier Guieu

doi:10.1117/12.404826

23 October 2000 Space of circles: its applications in image processing

Jean-Marie Becker, Stephane Grousson, Didier Guieu

Proceedings Volume 4117, Vision Geometry IX; (2000) https://doi.org/10.1117/12.404826
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

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.

Citation Download Citation

Jean-Marie Becker, Stephane Grousson, and Didier Guieu "Space of circles: its applications in image processing", Proc. SPIE 4117, Vision Geometry IX, (23 October 2000); https://doi.org/10.1117/12.404826

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