Computer-generated image holograms are particularly useful for 3D-display applications. We discuss the properties of the reconstructions obtained with this hologram type. Conditions are given which must be fulfilled to ensure a disturbance free reconstruction. A new el~cient algorithm is presented which implements the hidden surface effect for synthetic image holograms.
The familiar optically recorded rainbow hologram is frequently used to produce color holograms. It is simple to compute the corresponding synthetic hologram structures, which would require no recording process and would be capable of displaying virtual three-dimensional objects. It is difficult, however, to materialize the computed structures because of the high space-bandwidth product required. To find a way around this problem we used a set of three computer-generated holograms as master holograms for an optical recording process in which each master hologram contains information about a different color. This reduces the space-bandwidth product requirements for the synthetic structures to convenient values.
Computer-generated near-field holograms are well suited to display numerical data in three-dimensional pictorial form. The available computer capacity and recording facility frequently limit the attainable space-bandwidth product. An optical technique that can improve it and provide comfortable viewing conditions is presented.
Synthetic near-field holograms with large apertures are suitable for three-dimensional display applications. For the computation of near-field hologram structures, algorithms that involve large Fourier transforms are time consuming. A simple method is presented that shortens the generation process.
A method is presented to calculate computer-generated holograms which permit reconstructions of three-dimensional objects located in and around the hologram plane. An angular spectrum technique based on scalar diffraction theory is used.
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