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The rician distribution of noisy mri data

✍ Scribed by HáKon Gudbjartsson; Samuel Patz

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
418 KB
Volume
34
Category
Article
ISSN
0740-3194

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✦ Synopsis

Abstract

The image intensity in magnetic resonance magnitude images in the presence of noise is shown to be governed by a Rician distribution. Low signal intensities (SNR < 2) are therefore biased due to the noise. it is shown how the underlying noise can be estimated from the images and a simple correction scheme is provided to reduce the bias. the noise characteristics in phase images are also studied and shown to be very different from those of the magnitude images. Common to both, however, is that the noise distributions are nearly Gaussian for SNR larger than two.

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We study the complexity of second-order indefinite elliptic problems -div(a∇u) + bu = f (with homogeneous Dirichlet boundary conditions) over a d-dimensional domain , the error being measured in the H 1 ( )-norm. The problem elements f belong to the unit ball of W r, p ( ), where p ∈ [2, ∞] and r >