A robust multi-frame super resolution based on curvature registration and second order variational regularization

A Laghrib (1) , A Hakim (2) , S Raghay (2) , M El Rhabi (3)

1 LMA - Laboratoire de Mathématiques Appliquées, Faculté des Sciences et Techniques, Université Sultan Moulay Slimane
2 UCA - Université Cadi Ayyad [Marrakech]
3 IMI - Département Ingénierie Mathématique et Informatique, École des Ponts ParisTech

Multiframe image super-resolution is a technique to obtain a high-resolution image by fusing a sequence of low-resolution ones. This paper deals with a new approach to robust super resolution based on regularization framework. Since registration is an important step that ensures the success of super resolution algorithms, must choose the most suitable method. We suggest a new algorithm specified at low resolution images with small deformations using fourth-order partial differential equations (PDE) regularization in the last step of super resolution. The deformations are not parametric and differs from one image to another. We use a curvature registration specially because image are slightly deformed. Experimental results show the robustness of the proposed method compared to classical super resolution methods.

Mots clés: robust; super resolution; curvature registration; PDE; MAP estimator; image; restoration; regularization

Domaines: Mathématiques [math]; Mathématiques [math]; Analyse numérique [math.NA]; Informatique [cs]; Traitement des images [eess.IV]

A Laghrib, A Hakim, S Raghay, M El Rhabi. A robust multi-frame super resolution based on curvature registration and second order variational regularization . International Journal of Tomography and Simulation, 2015. ⟨hal-01811729⟩