Laura Antonelli

Spatially Adaptive Regularization in Image Segmentation

  • Laura Antonelli
  • Valentina De Simone
  • Daniela di Serafino
    • Categories Applications - Science and Engineering, Convex and Nonsmooth Optimization

    We modify the total-variation-regularized image segmentation model proposed by Chan, Esedoglu and Nikolova [SIAM Journal on Applied Mathematics 66, 2006] by introducing local regularization that takes into account spatial image information. We propose some techniques for defining local regularization parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, … Read more

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

  • Laura Antonelli
  • Valentina De Simone
  • Daniela di Serafino
    • Categories Applications - Science and Engineering, Bound-constrained Optimization Tags , ,

    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, Martì­nez and Raydan (SIAM J. Optim., 10(4), 2000). We provide a … Read more