Demosaicking is the process of reconstructing a full resolution color image from the sampled data acquired by
a digital camera that apply a color filter array to a single sensor. In this paper, we propose a regularization
approach to demosaicking, making use of some prior knowledge about natural color images, such as smoothness of
each single color component and correlation between the different color channels. Initially, a quadratic strategy is
considered and a general approach is reported. Then, an adaptive technique is analyzed, in order to improve the
reconstruction near the edges and the discontinuities of the image. This is performed using a novel strategy that
avoids computational demanding iterations. The proposed approach provides good performances and candidates
itself for many applications.