These last few years, image decomposition algorithms have been proposed to split an image into two parts: the structures and the textures. These algorithms are not adapted to the case of noisy images because the textures are corrupted by noise. In this paper, we propose a new model which decomposes an image into three parts (structures, textures and noise) based on a local regularization scheme. We compare our results with the recent work of Aujol and Chambolle. We finish by giving another model which combines the advantages of the two previous ones.

翻译：近年来，图像分解算法被提出用于将图像分割为结构与纹理两部分。这些算法不适用于噪声图像的情况，因为纹理会被噪声破坏。本文提出一种基于局部正则化方案的新模型，可将图像分解为三个部分（结构、纹理与噪声）。我们将所得结果与Aujol和Chambolle的最新研究进行比较。最后提出另一种融合前两种模型优势的改进模型。