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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

In this article we derive an unbiased expression for the expected mean-squared error associated with continuously differentiable estimators of the noncentrality parameter of a chi-square 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 …