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BM3D frames based formulation provides new perspectives for the use of BM3D modeling in the circular shift-invariant reconstruction, but cannot be applied in the non-variant reconstruction. In order to solve this problem, a ra- dial blur physical model was established, in this paper rectangular block replaced sector block in rectangular coordinate image, the matching area and restoration coefficient regulation were established to improve the BM3D frames and to complete the radial image restoration. The results show that the sector block was matching in neighbor area, the radial blur image can be effectively recovered, and the effect is obviously better than RL-NL and RL-TV methods or other resto- ration methods.

Noisy Radial-blurred Images Restoration Using the BM3D Frames