Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/11291
Title: Variational second order flow estimation for PIV sequences
Authors: Alvarez, L. 
Castaño Moraga, Carlos Alberto
García, Miguel
Krissian, Karl
Mazorra, L. 
Salgado de la Nuez, Agustín Javier
Sánchez, J. 
UNESCO Clasification: 220990 Tratamiento digital. Imágenes
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
120326 Simulación
Keywords: Image sequences
PIV
Issue Date: 2008
Journal: Experiments in Fluids 
Abstract: We present in this paper a variational approach to accurately estimate simultaneously the velocity field and its derivatives directly from PIV image sequences. Our method differs from other techniques that have been presented in the literature in the fact that the energy minimization used to estimate the particles motion depends on a second order Taylor development of the flow. In this way, we are not only able to compute the motion vector field, but we also obtain an accurate estimation of their derivatives. Hence, we avoid the use of numerical schemes to compute the derivatives from the estimated flow that usually yield to numerical amplification of the inherent uncertainty on the estimated flow. The performance of our approach is illustrated with the estimation of the motion vector field and the vorticity on both synthetic and real PIV datasets.
URI: http://hdl.handle.net/10553/11291
ISSN: 0723-4864
DOI: 10.1007/s00348-007-0402-3
Source: Experiments in Fluids[ISSN 0723-4864],v. 44, p. 291-304
Rights: by-nc-nd
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