Affine Correlation Method for Direct Vorticity, Skew and Displacement Estimation

0351501 - ÚT 2011 RIV CZ eng C - Conference Paper (international conference)
Gronát, Petr
Affine Correlation Method for Direct Vorticity, Skew and Displacement Estimation.
Topical Problems of Fluid Mechanics 2010. Praha: Ústav termomechaniky, AV ČR, v. v. i., 2010 - (Příhoda, J.; Kozel, K.), s. 59-62. ISBN 978-80-87012-25-3.
[Topical Problems of Fluid Mechanics 2010. Praha (CZ), 10.02.2010-11.02.2010]
R&D Projects: GA ČR GA101/08/1112
Institutional research plan: CEZ:AV0Z20760514
Keywords : normalized cross correlation * affine correlation
Subject RIV: BK - Fluid Dynamics

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.
Permanent Link: http://hdl.handle.net/11104/0191240