Fast computation of Chebyshev moments

Chebyshev moments were recently proposed to address problems of moments of continuous orthogonal basis. They are moments of a discrete basis and are orthogonal in the domain of the image coordinate space, a feature which presents a number of advantages over moments of continuous orthogonal basis. No effort has been devoted yet to the efficiency of their calculation. In this paper, we present a hardware architecture which enables real-time processing of binary and grayscale images of up to 4 Mpixels. This architecture is realized in a field-programmable gate array of typical clock frequency of 100 MHz. Index Terms--Chebyshev moments, field-programmable gate arrays (FPGAs), real-time image analysis.