An apparatus for generating a hologram that may generate a three-dimensional (3D) hologram pattern at a high speed may include a pattern setting unit to set points for which hologram patterns are to be generated with respect to a one-eighth area of an entire area for which a hologram pattern is to be generated, a calculation unit to calculate pattern values for a plurality of reference points selected with respect to the one-eighth area of the entire area, and to generate a pattern for the one-eighth area using recurrent interpolation, and a pattern duplicating unit to complete a pattern for the entire area by duplicating the generated pattern for the one-eighth area.

Method for computing the code for the reconstruction of three-dimensional scenes which include objects which partly absorb light or sound. The method can be implemented in a computing unit. In order to reconstruct a three-dimensional scene as realistic as possible, the diffraction patterns are computed separately at their point of origin considering the instances of absorption in the scene. The method can be used for the representation of three-dimensional scenes in a holographic display or volumetric display. Further, it can be carried out to achieve a reconstruction of sound fields in an array of sound sources.

Systems and method disclosed herein include, among other features, receiving an image for display within a display area of a display system, determining a first image component of the image, calculating a hologram of the image, displaying the hologram on a display device and spatially modulating light in accordance with the displayed hologram, and propagating the spatially modulated light through a pupil expander arranged to provide a plurality of different light propagation paths for the spatially modulated light from the display device to the viewing area, wherein each light propagation path corresponds to a respective continuous region of the image owing to the angular distribution of light from the hologram.

Methods, apparatus, devices, and systems for three-dimensional (3D) displaying objects are provided. In one aspect, a method includes obtaining data including respective primitive data for primitives corresponding to an object, determining an electromagnetic (EM) field contribution to each element of a display for each of the primitives by calculating an EM field propagation from the primitive to the element, generating a sum of the EM field contributions from the primitives for each of the elements, transmitting to each of the elements a respective control signal for modulating at least one property of the element based on the sum of the EM field contributions, and transmitting a timing control signal to an illuminator to activate the illuminator to illuminate light on the display, such that the light is caused by the modulated elements of the display to form a volumetric light field corresponding to the object.