A method for processing at least one input hologram (H E ) associated with at least one input plane (P E ) in a World reference frame (RM), in order to obtain an output hologram (H S ) displayable on a holographic screen (SLM) placed in a so-called output plane (P S ) of a reproduction system (SRH) and viewable by an observer (Ob) from a viewing plane (PV) of said system, said system comprising at least one optical element (L C ) arranged between the viewing plane (PV) and the output plane (P S ), characterised in that the method comprises the following steps: - obtaining (E1) the input hologram and a pose of the associated input plane in the World reference frame; - obtaining (E4) at least one first ray transfer matrix, called extrinsic matrix (M EX ), depending on the position and the direction of the observer and representative of a propagation in free space between the input plane (P E ) and the viewing plane (P V ) of the reproduction system; - obtaining (E5) at least one second ray transfer matrix, called intrinsic matrix (M IN ), representative of a propagation between the viewing plane and the output plane of the reproduction system through said at least one optical element; - calculating (E6) at least one overall ray transfer matrix (M G ) of a light field emitted by the input hologram between the input plane and the output plane of the reproduction system, by a product of at least two of said extrinsic and intrinsic matrices; and - transforming (E7) a light field of the input hologram into a light field of the output hologram by application of at least one linear integral operator determined from the at least one calculated overall matrix, as a function of input sizes (Sx E , Sy E ) and input resolutions (Nx E , Ny E ) of the input hologram (H E ) and of output sizes (Sx S , Sy S ) and output resolutions (Nx S ,Ny S ) of the holographic screen. - obtaining (E1) the input hologram and a pose of the associated input plane in the World reference frame; - obtaining (E4) at least one first ray transfer matrix, called extrinsic matrix (M EX ), depending on the position and the direction of the observer and representative of a propagation in free space between the input plane (P E ) and the viewing plane (P V ) of the reproduction system; - obtaining (E5) at least one second ray transfer matrix, called intrinsic matrix (M IN ), representative of a propagation between the viewing plane and the output plane of the reproduction system through said at least one optical element; - calculating (E6) at least one overall ray transfer matrix (M G ) of a light field emitted by the input hologram between the input plane and the output plane of the reproduction system, by a product of at least two of said extrinsic and intrinsic matrices; and - transforming (E7) a light field of the input hologram into a light field of the output hologram by application of at least one linear integral operator determined from the at least one calculated overall matrix, as a function of input sizes (Sx E , Sy E ) and input resolutions (Nx E , Ny E ) of the input hologram (H E ) and of output sizes (Sx S , Sy S ) and output resolutions (Nx S ,Ny S ) of the holographic screen. <EOS>