Riemannian Median and Its Applications for Orientation Distribution Function Computing

Jian Cheng 1, 2, * Aurobrata Ghosh 1 Tianzi Jiang 2 Rachid Deriche 1
* Auteur correspondant
1 ATHENA - Computational Imaging of the Central Nervous System
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The geometric median is a classic robust estimator of centrality for data in Euclidean spaces, and it has been generalized in analytical manifold in [1]. Recently, an intrinsic Riemannian framework for Orientation Distribution Function (ODF) was proposed for the calculation in ODF field [2]. In this work, we prove the unique existence of the Riemannian median in ODF space. Then we explore its two potential applications, median filtering and atlas estimation.
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Communication dans un congrès
18th Scientific Meeting and Exhibition of the (ISMRM), 2010, Stockholm, Sweden. 2010
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https://hal.inria.fr/inria-00497246
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Soumis le : vendredi 2 juillet 2010 - 19:02:20
Dernière modification le : jeudi 11 octobre 2018 - 01:18:35
Document(s) archivé(s) le : lundi 4 octobre 2010 - 12:14:37

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Jian Cheng, Aurobrata Ghosh, Tianzi Jiang, Rachid Deriche. Riemannian Median and Its Applications for Orientation Distribution Function Computing. 18th Scientific Meeting and Exhibition of the (ISMRM), 2010, Stockholm, Sweden. 2010. 〈inria-00497246〉

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