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On the application of the spectral projected gradient method in image segmentation

Laura Antonelli (laura.antonelli***at***na.icar.cnr.it)
Valentina De Simone (valentina.desimone***at***unina2.it)
Daniela di Serafino (daniela.diserafino***at***unina2.it)

Abstract: We investigate the application of the nonmonotone spectral projected gradient (SPG) method to a region-based variational model for image segmentation. We consider a "discretize-then-optimize" approach and solve the resulting nonlinear optimization problem by an alternating minimization procedure that exploits the SPG2 algorithm by Birgin, Martě­nez and Raydan (SIAM J. Optim., 10(4), 2000). We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.

Keywords: image segmentation, region-based variational model, spectral projected gradient

Category 1: Nonlinear Optimization (Bound-constrained Optimization )

Category 2: Applications -- Science and Engineering (Other )

Citation:

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Entry Submitted: 02/17/2015
Entry Accepted: 02/17/2015
Entry Last Modified: 07/06/2015

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