In this paper, we present a new hybrid optical/digital processor that computes the geometric moments using the recently introduced Hartley transform (HT). This transform has the attractive property of being real when the signal is real. We prove an important result that all geometric moments of an image can be computed recursively from the various partial derivatives (near origin) of the HT intensity.
B. V.K. Vijaya Kumar,
"Geometric Moments From Hartley Transform Intensities", Proc. SPIE 0639, Optical Information Processing II, (24 September 1986); doi: 10.1117/12.964350; https://doi.org/10.1117/12.964350