Generalized preimage of conics

Eric Andres 1 Gaëlle Largeteau-Skapin 1
1 SIC
XLIM - XLIM, Université de Poitiers
Abstract : This paper focuses on the preimage of conics in dimension n. We use a parameter space to determine the Euclidean straight lines which cross the given pixel set. Those lines are gathered in the generalized preimage of the pixel set. To adapt this method to the Pythagorean model, based on the Euclidean distance d2, we propose the preimage for circles, spheres and n-spheres. We provide a mupad algorithm to reconstruct 2D discrete segments using the Pythagorean model. We complete this with the preimage of axis-aligned ellipsoids and elliptical hyperboloids.
Type de document :
Communication dans un congrès
International Workshop on Combinatorial Image Analysis IWCIA'09, Nov 2009, Playa del Carmen, Mexico. Research Publishing Services, pp.48--62, 2009
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https://hal.archives-ouvertes.fr/hal-00488041
Contributeur : Gaëlle Largeteau-Skapin <>
Soumis le : mardi 1 juin 2010 - 08:26:20
Dernière modification le : lundi 13 octobre 2014 - 15:43:25

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  • HAL Id : hal-00488041, version 1

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Eric Andres, Gaëlle Largeteau-Skapin. Generalized preimage of conics. International Workshop on Combinatorial Image Analysis IWCIA'09, Nov 2009, Playa del Carmen, Mexico. Research Publishing Services, pp.48--62, 2009. 〈hal-00488041〉

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