Helou, Elias S.
Ferreira, Paulo Jorge S. G.
Mascarenhas, Nelson D. A.
Total Authors: 4
 Univ Sao Paulo, ICMC, BR-13566590 Sao Carlos, SP - Brazil
 Univ Aveiro, DETI IEETA, P-3810913 Aveiro - Portugal
 Fac Campo Limpo Paulista FAC CAMP, BR-13231230 Campo Limpo Paulista, SP - Brazil
Total Affiliations: 3
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING;
Web of Science Citations:
Images obtained with optical microscopes are often blurred and corrupted by noise. Specially in wide-field microscopy, there is a strong out-of-focus blur in focal plane direction, caused mainly by a frequency loss in the acquisition process. In order to restore these images it is important to use non-linear methods and relevant prior knowledge as constraints. In this paper, we propose a projection onto convex sets framework using a sequence of prototype images inspired by the Richardson-Lucy iterative algorithm. Within this framework it is possible to use constraints while restoring the image, during the iterations. We prove that the iterative method can be implemented as a gradient iteration, followed by a sequence of projections onto constraint sets. Moreover, we performed experiments using the techniques in order to improve restoration. The results showed a better restoration of frequencies, an improved focal plane restoration and a better contrast when compared with the regular iterative restoration algorithm. (AU)