WIAS Preprint No. 519, (1999)

Vector adaptive weights smoothing with applications to MRI


  • Polzehl, Jörg
    ORCID: 0000-0001-7471-2658
  • Spokoiny, Vladimir
    ORCID: 0000-0002-2040-3427

2010 Mathematics Subject Classification

  • 62G07 62P15 92C55


  • adaptive smoothing, spatial adaptation, functional MRI, signal detection, dynamic MRI




We consider the problem of adaptive spatial smoothing for a time series of images. This type of data typically occurs in functional and dynamic Magnet Resonance Imaging (MRI). We propose a new method based on spatial smoothing with adaptively chosen weights. We show how this procedure can be used for efficient image estimation and classification in functional and dynamic MRI experiments. The performance of the procedure is illustrated by applications to simulated and real data.

Appeared in

  • J. Roy. Statist. Soc. Ser C, 50, no. 4 (2001), pp. 485 - 501 under the title: Functional and dynamic magnetic resonance imaging using vector adaptive weights smoothing.

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