Non-Fourier Motion in The Fourier Spectrum

Typically, image motion analysis in the frequency domain is performed according to the Motion From Fourier Coeecients, or MFFC principle. However , this principle excludes a class of motion that does not generate power spectra containing the origin of the frequency domain, which is usually referred to as Non-Fourier motion. This type of motion includes phenomena relevant to motion analysis such as translucency, sinusoidal beats, occlusion, Theta motion, and lacks a deenitive theoretical framework. We address this problem by deriving exact mathematical expressions for Non-Fourier motion, thus providing a basis for computational models for velocity extraction in the frequency domain. Numerical experiments demonstrating the validity of the approach are also presented.