Abstract
Problems of digital synthesis of holograms of 3D objects are discussed. The problem of using fast Fourier transform (FFT) in the synthesis of a remote object is numerically shown. A method for implementing a direct numerical Fresnel transformation based on the use of spatial symmetries of the Fresnel transformation kernel as the main element of calculations is offered. Its promising possibilities are discussed. An example of calculating a hologram of a 3D image and its restoration is given. At the moment, a program for the synthesis of holograms by direct integral transformation without the use of FFT has been developed, with the help of which the time for the synthesis of holograms is reduced more than four times. The prospects of this method are shown, which make it possible to reduce the time of direct synthesis of holograms of 3D objects by an order of magnitude or more.
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