Generalized perpendicular bisector and circumcenter

Authors:
Marc Rodríguez;Sere Abdoulaye;Gaëlle Largeteau-Skapin;Eric Andres
Affiliations:
Laboratory XLIM-SIC, University of Poitiers BP 30179, UMR CNRS 6712, Futuroscope Chasseneuil Cedex, France;University of Ouagadoudou 03 BP 7021, Burkina Faso;Laboratory XLIM-SIC, University of Poitiers BP 30179, UMR CNRS 6712, Futuroscope Chasseneuil Cedex, France;Laboratory XLIM-SIC, University of Poitiers BP 30179, UMR CNRS 6712, Futuroscope Chasseneuil Cedex, France
Venue:
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Year:
2010

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Abstract

This paper presents a theoretical generalization of the circumcenter as the intersection of generalized perpendicular bisectors. We define generalized bisectors between two regions as an area where each point is the center of at least one circle crossing each of the two regions. These new notions should allow the design of new circle recognition algorithms.