The usability of discrete representation of holograms

Abstract
In this paper, we analyze the existing methods of digital representation of images and fields, based on calculating digital holograms of various objects. We studied discrete Fourier, cosine and Fresnel transform are compared, advantages and disadvantages of each. Cases of the use of each transformationare suggested. We estimated the quality of reconstructed images using objective metrics such as signal-to-noise ratio and root-mean-square error. The computational complexity of the considered discrete transformations is analyzed.