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 et al. (SIAM J Optim 10(4):1196–1211, 2000). We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.
On the application of the spectral projected gradient method in image segmentation / Antonelli, Laura; DE SIMONE, Valentina; DI SERAFINO, Daniela. - In: JOURNAL OF MATHEMATICAL IMAGING AND VISION. - ISSN 0924-9907. - 54:1(2016), pp. 106-116. [10.1007/s10851-015-0591-y]
On the application of the spectral projected gradient method in image segmentation
DE SIMONE Valentina;DI SERAFINO Daniela
2016
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 et al. (SIAM J Optim 10(4):1196–1211, 2000). We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
