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Volume 6, Issue 1
Wavelets and Optical Flow Motion Estimation

P. Dérian, P. Héas, C. Herzet & E. Mémin

DOI: 10.4208/nmtma.2013.mssvm07

Numer. Math. Theor. Meth. Appl., 6 (2013), pp. 116-137.

Published online: 2013-06

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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 are evaluated on image sequences of turbulent fluid flows.

  • Keywords

Wavelets, optical flow, motion estimation, large displacements, fluid flows.

  • AMS Subject Headings

68T45, 65T60, 76F99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-6-116, author = {P. Dérian, P. Héas, C. Herzet and E. Mémin}, title = {Wavelets and Optical Flow Motion Estimation}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2013}, volume = {6}, number = {1}, pages = {116--137}, 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 are evaluated on image sequences of turbulent fluid flows.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2013.mssvm07}, url = {http://global-sci.org/intro/article_detail/nmtma/5897.html} }
TY - JOUR T1 - Wavelets and Optical Flow Motion Estimation AU - P. Dérian, P. Héas, C. Herzet & E. Mémin JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 116 EP - 137 PY - 2013 DA - 2013/06 SN - 6 DO - http://doi.org/10.4208/nmtma.2013.mssvm07 UR - https://global-sci.org/intro/article_detail/nmtma/5897.html KW - Wavelets, optical flow, motion estimation, large displacements, fluid flows. AB -

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 are evaluated on image sequences of turbulent fluid flows.

P. Dérian, P. Héas, C. Herzet and E. Mémin. (2013). Wavelets and Optical Flow Motion Estimation. Numerical Mathematics: Theory, Methods and Applications. 6 (1). 116-137. doi:10.4208/nmtma.2013.mssvm07
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