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Riemannian Median and Its Applications for Orientation Distribution Function Computing

Jian Cheng 1, 2, * Aurobrata Ghosh 1 Tianzi Jiang 2 Rachid Deriche 1
* Corresponding author
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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https://hal.inria.fr/inria-00497246
Contributor : Jian Cheng <>
Submitted on : Friday, July 2, 2010 - 7:02:20 PM
Last modification on : Wednesday, June 3, 2020 - 9:57:49 PM
Long-term archiving on: : Monday, October 4, 2010 - 12:14:37 PM

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  • HAL Id : inria-00497246, version 1
  • PRODINRA : 247460

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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. ⟨inria-00497246⟩

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