Numerical study of an optimization problem for mosaic active imaging

Nicolas Lermé (1) , François Malgouyres (2) , Emmanuelle Thouin (3) , Dominique Hamoir (3)

1 TSI - Département Traitement du Signal et des Images
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 ONERA - The French Aerospace Lab [Châtillon]

In this paper, we focus on the restoration of an image in mosaic active imaging. This emerging imaging technique consists in acquiring a mosaic of images (laser shots) by focusing a laser beam on a small portion of the target object and subsequently moving it to scan the whole field of view. To restore the whole image from such a mosaic, a prior work proposed a simplified forward model describing the acquisition process. It also provides a prior on the acquisition parameters. Together with a prior on the distribution of images, this leads to a MAP estimate alternating between the estimation of the restored image and the estimation of these parameters. The novelty of the current paper is twofold: (i) We provide a numerical study and argue that faster convergence can be achieved for estimating the acquisition parameters; (ii) we show that the results from this earlier work are improved when the laser shots are acquired according to a more compact pattern.

Mots clés: laser imaging; image reconstruction; active imaging; differentiable optimization; graph cuts

Domaines: Traitement des images [eess.IV]

Nicolas Lermé, François Malgouyres, Emmanuelle Thouin, Dominique Hamoir. Numerical study of an optimization problem for mosaic active imaging. 2014 IEEE International Conference on Image Processing (ICIP), Oct 2014, Paris, France. pp.1723-1727, ⟨10.1109/ICIP.2014.7025345⟩. ⟨hal-00935725v3⟩