Image Restoration Using Gradient Iteration and Constraints for Band Extrapolation

Autor(es)

Ponti, Moacir ^[1] ; Helou, Elias S. ^[1] ; Ferreira, Paulo Jorge S. G. ^[2] ; Mascarenhas, Nelson D. A. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, ICMC, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Aveiro, DETI IEETA, P-3810913 Aveiro - Portugal

^[3] Fac Campo Limpo Paulista FAC CAMP, BR-13231230 Campo Limpo Paulista, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING; v. 10, n. 1, p. 71-80, FEB 2016.
• Citações Web of Science: 4

Resumo

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)

• Processo FAPESP: 13/16508-3 - Cálculo rápido do operador generalizado de retroprojeção com aplicações em reconstrução tomográfica de imagens
• Beneficiário: Elias Salomão Helou Neto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 11/22749-8 - Desafios em visualização exploratória de dados multidimensionais: novos paradigmas, escalabilidade e aplicações
• Beneficiário: Luis Gustavo Nonato
• Modalidade de apoio: Auxílio à Pesquisa - Temático