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Vander Lugt (Ref. 1) introduced the use of holograms as frequency plane masks in spatial filtering applications. The technique produces the convolution of an input spatial scene s(x) with a convolving function a(x) by placing a hologram in the Fourier transform plane of a coherent optical processor. The hologram is a photograph of a reference beam and the Fourier trans form- H(f) of a spatial mask function h(x). The filtered scene is realized as an off-axis spatial signal. See Figure 1.
R. Gonsalves,R. Dumais, andP. Considine
"On Optimal Holographic Filters", Proc. SPIE 0045, Coherent Optics in Mapping, (1 October 1974); https://doi.org/10.1117/12.953975
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R. Gonsalves, R. Dumais, P. Considine, "On Optimal Holographic Filters," Proc. SPIE 0045, Coherent Optics in Mapping, (1 October 1974); https://doi.org/10.1117/12.953975