Abstract
In this paper, a new convex variational model for restoring images degraded by blur and Rician noise is proposed. The new method is inspired by previous works in which the non-convex variational model obtained by maximum a posteriori estimation has been presented. Based on the statistical property of Rician noise, we put forward to adding an additional data-fidelity term into the non-convex model, which leads to a new strictly convex model under mild condition. Due to the convexity, the solution of the new model is unique and independent of the initialization of the algorithm. We utilize a primal–dual algorithm to solve the model. Numerical results are presented in the end to demonstrate that with respect to image restoration capability and CPU-time consumption, our model outperforms some of the state-of-the-art models in both medical and natural images.
Original language | English |
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Pages (from-to) | 92-111 |
Number of pages | 20 |
Journal | Journal of Mathematical Imaging and Vision |
Volume | 53 |
Issue number | 1 |
DOIs | |
Publication status | Published - 3 Sept 2015 |
User-Defined Keywords
- Convexity
- Deblurring
- Primal–dual method
- Rician noise
- Total variation