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Master's Dissertation
DOI
10.11606/D.45.2016.tde-21102016-161416
Document
Author
Full name
Anderson Conceição de Almeida
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2015
Supervisor
Committee
Birgin, Ernesto Julian Goldberg (President)
Gomes Neto, Francisco de Assis Magalhães
Haeser, Gabriel
Title in Portuguese
O método do gradiente espectral projetado aplicado ao problema de reconstrução digital de imagens usando regularização l1
Keywords in Portuguese
Gradiente espectral projetado
Otimização matemática
Reconstrução digital de imagens
Regularização l1
Abstract in Portuguese
O problema de reconstrucão digital de imagens (Image Inpainting) possui diversas abordagens para sua resolução. Uma possibilidade consiste na sua modelagem como um problema de otimizacão contínua (lasso). Na presente dissertacão aplica-se o método do gradiente espectral projetado a esse problema. Desenvolve-se inteiramente a modelagem do problema assim como a implementacão computacional do método de otimização que o resolve. Resultados computacionais demonstram a qualidade do método para um conjunto de imagens digitais
Title in English
The spectral gradient method applied to the Image Inpainting problem using l1-Regularization
Keywords in English
Image inpainting
l1 regularization
Mathematical optimization
Spectral projected gradient
Abstract in English
The image inpainting problem has several resolution approaches. One possibility consists in its modeling as a continuous optimization problem. In the present dissertation we apply the spectral projected gradient method to this problem. We develop the whole modeling of the problem as well as the computational implementation of the optimization method to solve it. Computational results show the quality of the method for a set of digital images
 
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dissertacao.pdf (4.12 Mbytes)
Publishing Date
2016-10-24
 
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