Figure 3.

Hologram rendering algorithm. The conversion path of a single pixel from a digital image into a rendered hologram is showcased. “1” Design of a hologram, representing different pitches and orientations in layers of grey scale images; “2” Setup of an observation scene ($\vec{r}$ – position vector in spherical coordinates (R, φ, θ), D – aperture diameter); “3” Conversion of input data into pitches (Λ) and orientations (Ψ) of holo-pixels; “4” Application of the conical diffraction formalism³⁸ (notations are explained in the supplementary material online); “5” Construction of the diffraction spectra visible through the defined aperture (taking into account the reflectance (R) of the material and diffraction efficiency (DE) of the grating); “6” Spectrum conversion into tristimulus values in the 1931 CIE XYZ colour space (colour matching functions were taken from tables in³⁹); “7” Conversion of the colour of a holo-pixel into RGB scale; “8” Preview of a rendered hologram image.