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A CURE for noisy magnetic resonance images: chi-square unbiased risk estimation

A CURE for noisy magnetic resonance images: chi-square unbiased risk estimation

IEEE Transactions on Image Processing 21(8): 3454-3466

n this article we derive an unbiased expression for the expected mean-squared error associated with continuously differentiable estimators of the noncentrality parameter of a chisquare random variable. We then consider the task of denoising squared-magnitude magnetic resonance image data, which are well modeled as independent noncentral chi-square random variables on two degrees of freedom. We consider two broad classes of linearly parameterized shrinkage estimators that can be optimized using our risk estimate, one in the general context of undecimated filterbank transforms, and another in the specific case of the unnormalized Haar wavelet transform. The resultant algorithms are computationally tractable and improve upon most state-of-the-art methods for both simulated and actual magnetic resonance image data.

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Accession: 051059764

Download citation: RISBibTeXText

PMID: 22491082

DOI: 10.1109/TIP.2012.2191565

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