Method for processing a hologram, and associated device, holographic display system and computer program

A method for processing at least one input hologram associated with at least one input plane in a World reference frame, in order to obtain an output hologram that is capable of being displayed on a holographic screen placed in a so-called output plane of a reproduction system and viewable by an observer from a viewing plane of said system, said system comprising at least one optical element arranged between the viewing plane and the output plane, wherein the method comprises the following steps:

• obtaining the input hologram and a pose of the associated input plane in the World reference frame;
• obtaining at least one first ray transfer matrix, called extrinsic matrix, depending on the position and the direction of the observer and representative of a propagation in free space between the input plane and the viewing plane of the reproduction system;
• obtaining at least one second ray transfer matrix, called intrinsic matrix, representative of a propagation between the viewing plane and the output plane of the reproduction system through said at least one optical element;
• calculating at least one overall ray transfer matrix 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 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 ray transfer matrix, as a function of input sizes and input resolutions of the input hologram and of output sizes and output resolutions of the holographic screen.