Non-local incoherent artifact reduction in MRI using compressed sensing

Magnetic resonance imaging is a technique that produces high quality images of soft tissues and internal vital body organs. Images obtained from magnetic resonance are highly redundant in nature and the complete image can be reconstructed with small amount of data. Compressive Sampling technique in Magnetic Resonance Imaging depends on sparsity of coefficients in transform domain. Incoherent artifacts are non-local artifacts which are present all over in images. These artifacts may appear as noise in the image, though they are not actual noise. Non-local incoherent artifacts are generated by zero filled with density compensation reconstruction. Effect of non local incoherent artifact reduction is observed on brain data and Shepp Logan phantom image and the results are quantified in terms of Root mean square error (RMSE) and Peak Signal to Noise ratio (PSNR) with different acceleration factors.