Nonlocal linear minimum mean square error methods for denoising MRI
We introduced four filters based on LMMSE estimation for denoising MR images produced with single coil MRI. The self-similarity and natural redundancy of the magnitude MR image are considered to achieve high denoising performance. Finding best samples for LMMSE estimation in DCT domain will improve the denoising performance. Nonlocal PCA domain shrinkage is used as a refinement stage to further remove the uncorrelated noise.
linear minimum mean square error denoising discrete cosine transform magnetic resonance image principal component analysis rician distribution