Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28669
Title: On nonmonotone chambolle gradient projection algorithms for total variation image restoration
Authors: Yu, G
Qi, L 
Dai, Y
Keywords: Constrained optimization
Gradient projection
Image restoration
Total variation
Issue Date: 2009
Source: Journal of mathematical imaging and vision, 2009, v. 35, no. 2, p. 143-154 How to cite?
Journal: Journal of Mathematical Imaging and Vision 
Abstract: The main aim of this paper is to accelerate the Chambolle gradient projection method for total variation image restoration. In the proposed minimization method model, we use the well known Barzilai-Borwein stepsize instead of the constant time stepsize in Chambolle's method. Further, we adopt the adaptive nonmonotone line search scheme proposed by Dai and Fletcher to guarantee the global convergence of the proposed method. Numerical results illustrate the efficiency of this method and indicate that such a nonmonotone method is more suitable to solve some large-scale inverse problems.
URI: http://hdl.handle.net/10397/28669
ISSN: 0924-9907
DOI: 10.1007/s10851-009-0160-3
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