The process comprising splitting of an image into blocks, intra coding of a current block using spatial prediction based on a matching pursuit algorithm selecting, from a dictionary of atoms, the atom the most correlated with a causal neighborhood of the current block, is characterized in that it performs the following steps: — determination of the two dimensional shift between the causal neighborhood and the selected atom, — generation of at least, a new phased atom taking into account the values of the two dimensional spatial shift, — use of this new atom for intra prediction, according to the matching pursuit algorithm, if better correlated than the selected one. Application to video data compression.