In order to extend range of fractional differential order and to improve brightness when fractional differential methods are applied to image enhancement, a local fractional differential algorithm for image enhancement is proposed. First, according to theory of local fractional differential, a local fractional differential algorithm for image enhancement is deduced. Then, on basis of a new constructed fractional differential template for image enhancement, a new template joined a set of brightness control functions for texture, edge and brightness enhancement is gotten. Experiments and results show that the proposed method can extend the range of fractional differential order, and it not only can enhance edges, textures and other details of the image, but also can significantly improve the contrast and lightness of the image; experiments also show that the visual effect of enhanced images is better than that of traditional fractional differential-based methods.
