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A differential equation approach to the computation of the Fourier transform of the images of translating objects

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2 Author(s)
Cortelazzo, G. ; Dipartimento di Elettronica e Inf., Padova Univ., Italy ; Nalesso, G.

The frequency domain analysis of constant velocity motion has proven useful in a number of different contexts ranging from television signal processing to computer vision. This work considers the frequency domain analysis of a generalization of such simple dynamics, which includes the effect of acceleration and its time derivatives (of any order). In the frequency domain the contribution due to the object's shape and the contribution due to translation terms are clearly separated. Motion information in the frequency domain is given by functions characterized by a family of differential equations. Such differential equations are introduced in the work and their solutions are exemplified in order to compute the frequency domain motion contributions. For simplicity; the results are presented for the case of translations, but they apply equally well to rotations

Published in:

Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 6 )

Date of Publication:

Nov 1994

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