Shape representation using Fourier coefficients of the sinusoidal transform

This paper investigates the use of the sinusoidal transform to represent co nvex regions of the plane. Formulae are derived for the determination of va rious geometrical features and relations in terms of sinusoidal transforms and their Fourier descriptors. Necessary and sufficient conditions for a pe riodic function to be the sinusoidal transform of a convex region are deriv ed. Sinusoidal Fourier descriptors are shown to compare favourably with oth er shape-representation schemes based on Fourier descriptors.