Accelerated Additive Operator Splitting Schemes for Nonlinear Diffusion Filtering

Based on the renowned additive operator splitting (AOS) schemes that ensure equal treatment of all coordinate axes, accelerated AOS schemes for solving regularized Perona-Malik (P-M) equation are presented. These ameliorated AOS schemes are stable unconditionally, consistent with nonlinear parabolic equations under certain circumstance and demonstrate a remarkably economical CPU time. The paper is intended to discuss the properties of the modified AOS schemes in several aspects. Finally, experiments show that as well as the edges and detailed information of images are preserved, the proposed AOS schemes are at least three times more efficient than the conventional AOS schemes.