원문정보
초록
영어
In this paper, we firstly propose a new image restoration model including non-smooth l1-norm data-fidelity term and non-smooth l1-norm regularization term based on the bilateral total variation regularization. Secondly, we prove the existence of minimal solutions of our proposed energy functional model. Thirdly, we consider the convergence of the discrete numerical algorithm, and obtain that the limit point of the solution sequence is the minimal point of our proposed energy functional. Finally, we give some experimental simulation results in the case of the single noisy image without blurring, multiple different noisy images without blurring, single noisy image with blurring, and multiple different noisy images with different blurring, respectively. The restoration results show our model works effectively.
목차
1. Introduction
2. Bilateral Total Variation-Based Image Restoration Model
3. Existence of Minimal Solutions of Energy Functional (2.3)
4. Convergence of Discrete Numerical Algorithm
4.1 Minimal Solution of Relaxation Energy Functional (3.1)
4.2 Minimal Solution of the Energy Functional (2.3)
5. Numerical Experimental and Simulation Results
6. Discussion and Conclusion
Acknowledgments
References