Abstract #3527

# Minimum-variance weighted image reconstruction and the application to MRI

Jyh-Miin Lin1 and Philippe Ciuciu2

1Department of Radiology, University of Cambridge, Cambridge, United Kingdom, 2Neurospin, CEA Saclay, Paris, France

Non-stationary MRI noise occurs in sparse and non-uniform k-space. Weighted least squares regression has been used to handle data with non-stationary noise. A minimum-variance weighting function may reduce the variance (image noise) of the image, and it may also relax the regularization needed for MRI reconstruction. To obtain the optimal weighting in non-uniform MRI reconstruction, this study uses the Monte Carlo method to determine the minimum-variance weighting function in Shepp-Logan phantom and breast MRI. The parameter $$\alpha=-0.5$$\$ provides a weighting function with the minimum-variance in the reconstructed images.

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