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Conference Papers Year : 2010

Riemannian Median and Its Applications for Orientation Distribution Function Computing

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.

Domains

Medical Imaging
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Dates and versions

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

Identifiers

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

Cite

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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