Dense Disparity Map Estimation Respecting Image Discontinuities : A PDE and Scale-Space Based Approach

Abstract : We present an energy based approach to estimate a dense disparity map between two images while preserving its discontinuities resulting from image boundaries. We first derive a simplified expression for the disparity that allows us to easily estimate it from a stereo pair of images using an energy minimization approach. We assume that the epipolar geometry is known, and we include this information in the energy model. Discontinuities are preserved by means of a regularization term based on the Nagel--Enkelmann operator. We investigate the associated Euler--Lagrange equation of the energy functional, and we approach the solution of the underlying partial differential equation (PDE) using a gradient descent method. In order to reduce the risk to be trapped within some irrelevant local minima during the iterations, we use a focusing strategy based on a linear scale-space. We prove the existence and uniqueness of the underlying parabolic partial differential equation. Experimental results on both synthetic and real images are presented to illustrate the capabilities of this PDE and scale-spac- e based method.
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Rapport
[Research Report] RR-3874, INRIA. 2000, pp.31
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https://hal.inria.fr/inria-00072780
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Soumis le : mercredi 24 mai 2006 - 10:52:25
Dernière modification le : jeudi 11 janvier 2018 - 16:23:57
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:22:04

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Luis Alvarez, Rachid Deriche, Javier Sánchez, Joachim Weickert. Dense Disparity Map Estimation Respecting Image Discontinuities : A PDE and Scale-Space Based Approach. [Research Report] RR-3874, INRIA. 2000, pp.31. 〈inria-00072780〉

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