A method for processing a sequence of a plurality of projection images of an object of interest is provided. The method, being recursive, comprises defining, a priori, a sparse image and a series of models for breaking down the object as a sum of a sparse component and of a complementary non-sparse component; initializing a sparse image depending on the sparse image defined a priori and initializing the series of models for breaking down the object; reconstructing an image of the sparse component of the decomposition model of the object from acquired projection images and from the initialized sparse image; and updating the sparse image so that, during the iterations, the reconstruction of the image of the sparse component gradually reintroduces the complementary component into the sparse image, in order to obtain a complete image of the non-sparse object.