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| HAL : hal-00354729, version 1 |
| DOI : 10.1016/S1524-0703(03)00004-3 |
| Fiche détaillée |  Récupérer au format |
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| Graphical Models 65, 1-3 (2003) 92 - 111 |
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| Discrete linear objects in dimension n: the standard model |
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| Eric Andres 1 |
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| (01/2003) |
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| A new analytical description model, called the standard model, for the discretization of Euclidean linear objects (point, m-flat, m-simplex) in dimension n is proposed. The objects are defined analytically by inequalities. This allows a global definition independent of the number of discrete points. A method is provided to compute the analytical description for a given linear object. A discrete standard model has many properties in common with the supercover model from which it derives. However, contrary to supercover objects, a standard object does not have bubbles. A standard object is (n-1)-connected, tunnel-free and bubble-free. The standard model is geometrically consistent. The standard model is well suited for modelling applications. |
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| 1 : | SIGNAL-IMAGE-COMMUNICATION (SIC) |
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CNRS : FRE2731 – Université de Poitiers |
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| Domaine | : | Informatique/Vision par ordinateur et reconnaissance de formes Informatique/Géométrie algorithmique Informatique/Modélisation et simulation Informatique/Synthèse d'image et réalité virtuelle |
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| digitization – dimension n – discrete geometry – m-flat – simplex |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00354729, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00354729/fr/ | |
| oai:hal.archives-ouvertes.fr:hal-00354729_v1 | |
| Contributeur : Eric Andres | |
| Soumis le : Mercredi 21 Janvier 2009, 13:51:29 | |
| Dernière modification le : Lundi 27 Juillet 2009, 12:33:03 | |
