image reconstruction

A First-Order Framework for Inverse Imaging Problems

  • Christopher Anand
    • Categories Applications - Science and Engineering, Biomedical Applications Tags , ,

    We argue that some inverse problems arising in imaging can be efficiently treated using only single-precision (or other reduced-precision) arithmetic, using a combination of old ideas (first-order methods, polynomial preconditioners), and new ones (bilateral filtering, total variation). Using single precision, and having structures which parallelize in the ways needed to take advantage of low-cost/high-performance multi-core/SIMD … Read more

    Regularization Using a Parameterized Trust Region Subproblem

  • Oleg Grodzevich
  • Henry Wolkowicz
    • Categories Applications - Science and Engineering, Biomedical Applications, Nonlinear Systems and Least-Squares Tags , , , ,

    We present a new method for regularization of ill-conditioned problems, such as those that arise in image restoration or mathematical processing of medical data. The method extends the traditional {\em trust-region subproblem}, \TRS, approach that makes use of the {\em L-curve} maximum curvature criterion, a strategy recently proposed to find a good regularization parameter. We … Read more