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Wavelets and Optical Flow Motion Estimation

Published online by Cambridge University Press:  28 May 2015

P. Dérian ,
P. Héas ,
C. Herzet  and
E. Mémin
P. Dérian*
Affiliation:
Departments of Physics and Geosciences, California State University Chico, Chico, CA 95929-0555, USA
P. Héas*
Affiliation:
INRIA Rennes-Bretagne Atlantique, Campus de Beaulieu, 35042 Rennes CEDEX, France
C. Herzet*
Affiliation:
INRIA Rennes-Bretagne Atlantique, Campus de Beaulieu, 35042 Rennes CEDEX, France
E. Mémin*
Affiliation:
INRIA Rennes-Bretagne Atlantique, Campus de Beaulieu, 35042 Rennes CEDEX, France
*
Corresponding author.Email address:pderian@csuchico.edu
Corresponding author.Email address:Patrick.Heas@inria.fr
Corresponding author.Email address:Cedric.Herzet@inria.fr
Corresponding author.Email address:Etienne.Memin@inria.fr
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Abstract

This article describes the implementation of a simple wavelet-based optical-flow motion estimator dedicated to continuous motions such as fluid flows. The wavelet representation of the unknown velocity field is considered. This scale-space representation, associated to a simple gradient-based optimization algorithm, sets up a well-defined multiresolution framework for the optical flow estimation. Moreover, a very simple closure mechanism, approaching locally the solution by high-order polynomials is provided by truncating the wavelet basis at fine scales. Accuracy and efficiency of the proposed method is evaluated on image sequences of turbulent fluid flows.

Keywords

68T4565T6076F99Waveletsoptical flowmotion estimationlarge displacementsfluid flows

Information

Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 6 , Issue 1 , February 2013 , pp. 116 - 137
Copyright
Copyright © Global Science Press Limited 2013

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