Study of the multi-scale optic flow constraint equation using different orders of Taylor expansion

A. Becciu, P.A.G. Dorst, van, H.C. Assen, van, L.M.J. Florack, B.M. Haar Romenij, ter

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Abstract

Cardiac motion estimation is a significant problem in medical image analysis, which may be solved by optical flow methods. In this paper we propose an approach based on the original optic flow formulation, the velocity estimation is carried out in a multi-scale framework and the optic flow field has been studied at different orders of approximation using a polynomial expansion. Mathematica is a powerful tool in the sense that it allows to compute and visualize symbolically the complex expressions involved in this scheme, while at the same time performing the numerical calculation. In this paper the symbolic expression of the zeroth, first, and second order of the multi-scale developed optic flow constraint equation will be explored, and the application on image sequences and a comparison of the performance will be discussed.
Original languageEnglish
Title of host publicationProceedings 9th International Mathematica Symposium (IMS 2008, Maastricht, The Netherlands, June 20-24, 2008)
Pages1-15
Publication statusPublished - 2008

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