High-quality vector field and direct vorticity estimation using the affine correlation method

Abstract eng:
In this paper, a correlation method for direct vorticity computation of the fluid velocity field is introduced. The correlation method allows an affine transformation of a correlation window. It is shown that Lagrangian field of displacements, considering the linear terms only, satisfies the requirements for affine transformation and using the Normalized-Cross-Correlation (NCC) together with affine transformation and Newton-Raphson iterative method, six parameters defining this transformation can be estimated. Subsequently, using these parameters, both displacement and vorticity can be computed, hence, the vorticty is being obtained for every single point directly during the correlation procedure.

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