The main purpose of this paper is to improve the algorithm of image decomposition introduced by L.Vese and S.Osher, which makes the best of new-generated information in the iteration and the semi-implicit finite differences scheme. By the new algorithm we can reach our goal much faster.Then, we will use the improved algorithm to make experiments and show its advantage. Finally we will introduce the application of image decomposition method in image inpainting and image denoise. |