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Optical Stokes Flow Estimation: An Imaging‐Based Control Approach
Author(s) -
Ruhnau Paul,
Schnörr Christoph
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610411
Subject(s) - optical flow , particle image velocimetry , flow (mathematics) , stokes flow , interpretation (philosophy) , image (mathematics) , vector field , mathematics , distribution (mathematics) , mathematical analysis , physics , computer science , statistical physics , mechanics , artificial intelligence , turbulence , programming language
Abstract We present an approach to particle image velocimetry based on optical flow estimation subject to physical constraints. Admissible flow fields are restricted to vector fields satifying the Stokes equation. The latter equation includes control variables that allow to control the optical flow so as to fit to the apparent velocities of particles in a given image pair. We show that when the real unknown flow observed through image measurements conforms to the physical assumption underlying the Stokes equation, the control variables allow for a physical interpretation in terms of pressure distribution and forces acting on the fluid. Although this physical interpretation is lost if the assumptions do not hold, our approach still allows for reliably estimating more general and highly non‐rigid flows from image pairs and is able to outperform cross‐correlation based techniques. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)