High-Quality Vector Field and Direct Jacobian Estimation

0352083 - ÚT 2011 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Gronát, Petr
High-Quality Vector Field and Direct Jacobian Estimation.
24th Symposium on Anemometry. Praha: Institute of Hydrodynamics ASCR, v. v. i., 2010 - (Chára, Z.; Klaboch, L.), s. 27-29. ISBN 978-80-87117-07-1.
[Symposium on Anemometry /24./. Holany – Litice (CZ), 01.06.2010-02.06.2010]
Grant CEP: GA ČR GA101/08/1112; GA ČR GAP101/10/1230
Výzkumný záměr: CEZ:AV0Z20760514
Klíčová slova: PIV * normalized cross correlation * affine transformation
Kód oboru RIV: BK - Mechanika tekutin

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. Using these parameters, both displacement and vorticity can be computed directly without differentiation of the vector field.
Trvalý link: http://hdl.handle.net/11104/0006186