To improve the rendering of a printing, a halftone rendering method is applied. This method optimally comprises a step for the adaptive tiling of the image. This tiling is based on a subdivision of the image by self-similar structures. These subdivisions are locally limited by the local intensity of the image. These local limitations make the tiling adaptive. The result of this tiling is a cloud of sampling structures, each of these structures being associated with a pixel of the image and a label produced during the tiling. The intensity of the pixel, and the label, enable the reading, in a table of correction vectors, of a correction vector corresponding to a shift to be applied to the pixel before it is printed. The table of the correction vectors is pre-computed in using a relaxation algorithm.