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| HAL: hal-00488041, version 1 |
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| International Workshop on Combinatorial Image Analysis IWCIA'09, Playa del Carmen : Mexique (2009) |
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| Generalized preimage of conics |
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| Eric Andres 1Gaëlle Largeteau-Skapin 1 |
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| (2009) |
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| 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. |
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| 1: | XLIM (XLIM) |
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CNRS : UMR6172 – Université de Limoges |
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| Subject | : | Computer Science/Image Processing Computer Science/Discrete Mathematics |
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| discrete geometry – reconstruction – preimage – circle – sphere – n-sphere. |
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| hal-00488041, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00488041 | |
| oai:hal.archives-ouvertes.fr:hal-00488041 | |
| From: Gaëlle Largeteau-Skapin | |
| Submitted on: Tuesday, 1 June 2010 08:26:20 | |
| Updated on: Tuesday, 19 April 2011 10:29:05 | |
