New fast algorithms for a modified TV-Stokes model
Zhigang Jia, Qianshun Chang · Scientia Sinica Mathematica · 2014
Based on some previous work of Tai et al., the modified TV-Stokes models for image denoising are considered. In this paper, we present some new fast algorithms for the modified TV-Stokes models. In the first step, we use the dual formulation of denoising and multigrid method to get a fast algorithm. Another new imcompressibility-preserved algorithm is proposed for the tangent field smoothing. In the second step, completely new algorithms are presented by us. A function g fitting the smoothing normal field is computed by the Poisson equation. Then, restored image is obtained efficiently by using the algorithm of Jia and Zhao. This new method is very fast such that the CPU time in the reconstruction step is less than 0.1 s. Numerical results demonstrate that our new algorithms are efficient and robust. The restored images are better than the general denoising methods.