An efficient multi-grid method for TV minimization problems
Zhenwei Zhang, Xue Li, Yuping Duan, Ke Yin, Xue‐Cheng Tai · Inverse Problems and Imaging · 2021
We propose an efficient multi-grid domain decomposition method for solving the total variation (TV) minimization problems. Our multi-grid scheme is developed based on the piecewise constant function spanned subspace correction rather than the piecewise linear one in [ 17 ], which ensures the calculation of the TV term only occurs on the boundaries of the support sets. Besides, the domain decomposition method is implemented on each layer to enable parallel computation. Comprehensive comparison results are presented to demonstrate the improvement in CPU time and image quality of the proposed method on medium and large-scale image denoising and reconstruction problems.