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Conference Papers Year : 2006

Arithmetic Discrete Parabolas


In the present paper, we propose a new definition of discrete parabolas, the so-called arithmetic discrete parabolas. We base our approach on a non-constant thickness function and characterized the 0-connected and 1-connected parabolas in terms of thickness function. This results extend the well-known characterization of the κ-connectedness of arithmetic discrete lines, depending on the norm || ·||∞ and || ·||1 of their normal vector.

Dates and versions

inria-00173240 , version 1 (19-09-2007)



Isabelle Debled-Rennesson, Eric Domenjoud, Damien Jamet. Arithmetic Discrete Parabolas. Second International Symposium on Advances in Visual Computing - ISVC 2006, Nov 2006, Lake Tahoe, NV, USA, United States. pp.480-489, ⟨10.1007/11919629_49⟩. ⟨inria-00173240⟩
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