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inria-00369620, version 1

Sparse Super-Resolution with Space Matching Pursuits

Guoshen Yu () 1, Stéphane Mallat () 2

SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations (2009)

Résumé : Super-resolution image zooming is possible when the image has some geometric regularity. Directional interpolation algorithms are used in industry, with ad-hoc regularity measurements. Sparse signal decompositions in dictionaries of curvelets or bandlets find indirectly the directions of regularity by optimizing the sparsity. However, super-resolution interpolations in such dictionaries do not outperform cubic spline interpolations. It is necessary to further constraint the sparse representation, which is done through projections over structured vector spaces. A space matching pursuit algorithm is introduced to compute image decompositions over spaces of bandlets, from which a super-resolution image zooming is derived. Numerical experiments illustrate the efficiency of this super-resolution procedure compared to cubic spline interpolations.

  • 1 :  Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP)
  • Polytechnique - X – CNRS : UMR7641
  • 2 :  Centre de Mathématiques Appliquées (CMAP)
  • CNRS : UMR7641 – Université de Versailles Saint-Quentin-en-Yvelines – Polytechnique - X
  • Domaine : Informatique/Traitement du signal et de l'image
    Sciences de l'ingénieur/Traitement du signal et de l'image
 
  • inria-00369620, version 1
  • oai:hal.inria.fr:inria-00369620
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  • Soumis le : Vendredi 20 Mars 2009, 15:04:18
  • Dernière modification le : Vendredi 20 Mars 2009, 15:24:29