Potential MSE of color image local filtering in component-wise and vector cases

In this paper, we investigate the derivation of Cramer-Rao lower bounds on component-wise and vector filtering performance. For two state-of-the-art local (DCT) and non-local (BM3D) filters in both component-wise and vector realizations, filtering output MSEs are compared with their respectively derived CRLBs. The comparative analysis shows good correspondence for images with different content and different noise levels.