Variational Multi-Valued Velocity Field Estimation for Transparent Sequences

  • Authors:
  • Alonso Ramírez-Manzanares;Mariano Rivera;Pierre Kornprobst;François Lauze

  • Affiliations:
  • Department of Mathematics, University of Guanajuato, Guanajuato, Mexico C.P. 36000;Centro de Investigacion en Matematicas A.C., Guanajuato, Mexico 36000;INRIA, Odyssée Lab., Sophia Antipolis, France 06902;Institute of Computer Science, University of Copenhagen, Kbh Ø, Denmark 2100

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2011

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Abstract

Motion estimation in sequences with transparencies is an important problem in robotics and medical imaging applications. In this work we propose a variational approach for estimating multi-valued velocity fields in transparent sequences. Starting from existing local motion estimators, we derive a variational model for integrating in space and time such a local information in order to obtain a robust estimation of the multi-valued velocity field. With this approach, we can indeed estimate multi-valued velocity fields which are not necessarily piecewise constant on a layer--each layer can evolve according to a non-parametric optical flow. We show how our approach outperforms existing methods; and we illustrate its capabilities on challenging experiments on both synthetic and real sequences.