Abstract
A theorem is proven which serves as the mathematical basis for the proposed global shift-vector extraction. This theorem states the identity of the difference vector between the centers of gravity (centroids) of two arbitrary nD density functions, with the centroid vector of their cross-correlation function. Consequently, the centroid of the cross-correlation function of consecutive manifestations of an arbitrarily transforming density function indicates its incremental shift vector. Advantages of this approach for implementations in massively parallel computing structures as well as applications, such as visual velocity estimation of nonrigid objects, are discussed.
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© 1991 Springer-Verlag Berlin Heidelberg
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Glünder, H. (1991). Global Shift Analysis of Dynamic Density Functions by Structured ∑Π-Networks. In: Radig, B. (eds) Mustererkennung 1991. Informatik-Fachberichte, vol 290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08896-8_25
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DOI: https://doi.org/10.1007/978-3-662-08896-8_25
Publisher Name: Springer, Berlin, Heidelberg
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