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Arithmetic Discrete Parabolas

Isabelle Debled-Rennesson 1 Eric Domenjoud 1 Damien Jamet 1
1 ADAGIO - Applying Discrete Algorithms to Genomics and Imagery
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : 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.
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Conference papers
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https://hal.inria.fr/inria-00173240
Contributor : Isabelle Debled-Rennesson <>
Submitted on : Wednesday, September 19, 2007 - 1:29:45 PM
Last modification on : Tuesday, April 24, 2018 - 1:36:02 PM

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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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