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| HAL : hal-00372869, version 1 |
| DOI : 10.1109/ISBI.2008.4541114 |
| Fiche détaillée |  Récupérer au format |
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| Biomedical Imaging: From Nano to Macro, 2008. ISBI 2008. 5th IEEE International Symposium on, Paris : France (2008) |
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| A landmark-based nonlinear elasticity model for mouse atlas registration |
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| T. LinE.F. Lee |
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| (2008) |
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| This paper is devoted to the registration of gene expression data to a neuroanatomical mouse atlas in two dimensions. We use a nonlinear elasticity regularization allowing large deformations, guided by an intensity-based data fidelity term and by landmarks. We overcome the difficulty of minimizing the nonlinear elasticity functional by introducing an additional variable v sime nablau, where u is the displacement. Thus, in the obtained Euler-Lagrange equation, the nonlinearity is no longer in the derivatives of the unknown, u. Experimental results show gene expression data mapped to a mouse atlas for a standard L2 data fidelity term in the presence of landmarks. We also present comparisons with biharmonic regularization. An advantage of the proposed nonlinear elasticity model is that usually no regridding is necessary, while keeping the data term, regularization term and landmark term in a unified minimization approach. |
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| 1 : | Laboratoire de Mathématiques de l'INSA Rouen |
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Aucune |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 3 : | Institut National des Sciences Appliquées de Rennes (INSA Rennes) |
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Institut National des Sciences Appliquées (INSA) - Rennes |
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| Domaine | : | Mathématiques/Analyse numérique |
| hal-00372869, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00372869 | |
| oai:hal.archives-ouvertes.fr:hal-00372869 | |
| Contributeur : Maryse Collin | |
| Soumis le : Jeudi 2 Avril 2009, 16:09:28 | |
| Dernière modification le : Mardi 16 Mars 2010, 14:28:31 | |
