Scientific article

A Robust Multiscale B-spline Function Decomposition Process to Motion Transparency Estimation

Published inIEEE transactions on image processing, vol. 12, no. 11, p. 1416-1426
Publication date2003

Motion transparency phenomena in image sequences are frequent, but classical methods of motion estimation are unable to deal with them. This paper describes a method for estimating optical flow by a generalization of the brightness constancy assumption to additive transparencies. The brightness constancy assumption is obtained by setting constant velocity fields during three images of a sequence. Thus, by a Taylor development to its second order, we reach an extension of the optical flow constraint equation. Since the equation is nonlinear, the Levenberg-Marquardt algorithm is used. In order to suppress the unavoidable aperture problem, a global model based on B-spline basis functions is applied with the aim of constraining optical flows. This description of motion allows us to work on a coarse to fine estimation of artificial image sequences that shows good convergence properties. It is also applied to natural image sequences.

  • convergence of numerical methods
  • image sequences
  • motion estimation
  • nonlinear equations
  • splines (mathematics)
Citation (ISO format)
PINGAULT, M., BRUNO, Eric, PELLERIN, D. A Robust Multiscale B-spline Function Decomposition Process to Motion Transparency Estimation. In: IEEE transactions on image processing, 2003, vol. 12, n° 11, p. 1416–1426. doi: 10.1109/TIP.2003.818357
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Article (Published version)
ISSN of the journal1057-7149

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