A cascadic tensor multigrid method and an economic cascadic tensor multigrid method is presented for solving the image restoration models. The methods use quadratic interpolation as prolongation operator to provide more accurate initial values for the next fine grid level, and constructs a preserving-edge-denoising operator to obtain better edges and remove noise. The experimental results show that the new methods not only improves computational efficiency but also achieve better restoration quality.

翻译：本文提出了一种级联张量多重网格方法及其经济型变体，用于求解图像复原模型。该方法采用二次插值作为延拓算子，为下一层细网格提供更精确的初始值，并构造了保边去噪算子以更好地保留边缘并去除噪声。实验结果表明，新方法不仅提高了计算效率，还实现了更优的复原质量。