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National Repository of Grey Literature

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High-Quality Vector Field and Direct Vorticity Estimation Uusing the Affine Correlation Method Gronát, Petr We present a correlation method for direct vorticity computation of the fluid velocity field. The correlation method allows the affine transformation of a correlation window. It is shown that Lagrangian field of displacements is locally affine considering linear terms only. Using the Normalized-Cross-Correlation (NCC) combined with affine transformation and Newton-Raphson iterative method, six parameters defining this transformation are estimated. Subsequently, using these parameters, both displacement and vorticity can be computed, hence, these properties are being obtained for every single pixel directly during the correlation procedure. Detailed record

Affine Correlation Method for Direct Vorticity, Skew and Displacement Estimation Gronát, Petr In this paper, a correlation method for direct vorticity computation of the fluid velocity field is introduced. The correlation method considering the affine transformation of a correlation window is presented. It is shown, that Lagrangian field of displacements, con- sidering the linear terms only, satis- fyes the requirements for affine transfor- mation. Using the Normalized–Cross– Correlation together with affine trans- formation and Newton-Raphson itera- tive method, six parameters defining the transformation can be estimated. Subse- quently, both displacement and vorticity can be computed using the above men- tioned parameters, hence, the vorticty is being obtained for every single point di- rectly during the correlation procedure. Detailed record

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