Numericals for total variation-based reconstruction of motion blurred images

In this paper image with horizontal motion blur, vertical motion blur and angled motion blur are considered. We construct several difference schemes to the highly nonlinear term ? · $ (\frac{{\nabla u}} {{\sqrt {|\nabla u|^2 + \beta } }}) $ (\frac{{\nabla u}} {{\sqrt {|\nabla u|^2 + \beta } }}) of the total variation-based image motion deblurring problem. The large nonlinear system is linearized by fixed point iteration method. An algebraic multigrid method with Krylov subspace acceleration is used to solve the corresponding linear equations as in 7]. The algorithms can restore the image very well. We give some numerical experiments to demonstrate that our difference schemes are efficient and robust.