| HAL : lirmm-00462513, version 1 |
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| Springer LNCS 6026 (2010) 47-59 |
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| Curvature Estimation for Discrete Curves based on Auto-adaptive Masks of Convolution |
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| Frédéric Rieux 1, 2Christophe Fiorio 1 |
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| (05/05/2010) |
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| We propose a method that we call auto-adaptive convolution which extends the classical notion of convolution in pictures analysis to function analysis on a discrete set. We define an averaging kernel which takes into account the local geometry of a discrete shape and adapts itself to the curvature. Its defining property is to be local and to follow a normal law on discrete lines of any slope. We used it together with classical differentiation masks to estimate first and second derivatives and give a curvature estimator of discrete functions. |
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| 1 : | Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM) |
| CNRS : UMR5506 – Université Montpellier II - Sciences et Techniques du Languedoc | |
| 2 : | Institut de Mathématiques et de Modélisation de Montpellier (I3M) |
| CNRS : UMR5149 – Université Montpellier II - Sciences et Techniques du Languedoc | |
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| [INFO/ARITH : ARITHmétique Informatique] |
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| Domaine | : | Informatique/Mathématique discrète |
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| Liste des fichiers attachés à ce document : | |||||
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| lirmm-00462513, version 1 | |
| http://hal-lirmm.ccsd.cnrs.fr/lirmm-00462513 | |
| oai:hal-lirmm.ccsd.cnrs.fr:lirmm-00462513 | |
| Contributeur : Frédéric Rieux | |
| Soumis le : Mercredi 10 Mars 2010, 08:59:14 | |
| Dernière modification le : Mardi 31 Mai 2011, 09:35:16 | |