Wavelet Frame-Based Image Restoration via $\ell _2$-Relaxed Truncated $\ell _0$ Regularization and Nonlocal Estimation
Liangtian He, Yilun Wang, Jin-Jin Mei, Jun Liu, Chao Wang · IEEE Signal Processing Letters · 2021
Wavelet tight frames have been actively investigated for various image restoration problems. In this paper, we introduce an analysis-sparsity model via$\ell _2$-relaxed truncated$\ell _0$regularization and nonlocal estimation, and the resulted nonconvex minimization problem is tackled by a proximal alternating minimization strategy. Numerical experiments demonstrate that the proposed algorithm is superior to many popular methods in both objective and perceptual quality.