18 January 2006 Discrete circles: an arithmetical approach with non-constant thickness
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In the present paper, we introduce an arithmetical definition of discrete circles with a non-constant thickness and we exhibit different classes of them depending on the arithmetical discrete lines. On the one hand, it results in the characterization of regular discrete circles with integer parameters as well as J. Bresenham's circles. As far as we know, it is the first arithmetical definition of the latter one. On the other hand, we introduce new discrete circles, actually the thinnest ones for the usual discrete connectedness relations.
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C. Fiorio, C. Fiorio, D. Jamet, D. Jamet, J.-L. Toutant, J.-L. Toutant, } "Discrete circles: an arithmetical approach with non-constant thickness", Proc. SPIE 6066, Vision Geometry XIV, 60660C (18 January 2006); doi: 10.1117/12.642976; https://doi.org/10.1117/12.642976

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