Communication Dans Un Congrès Année : 2010

Riemannian Median and Its Applications for Orientation Distribution Function Computing

Résumé

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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inria-00497246 , version 1 (02-07-2010)

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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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