poisson noise

ACQUIRE: an inexact iteratively reweighted norm approach for TV-based Poisson image restoration

  • Daniela di Serafino
  • Germana Landi
  • Marco Viola
    • Categories Applications - Science and Engineering, Convex and Nonsmooth Optimization Tags , , , ,

    We propose a method, called ACQUIRE, for the solution of constrained optimization problems modeling the restoration of images corrupted by Poisson noise. The objective function is the sum of a generalized Kullback-Leibler divergence term and a TV regularizer, subject to nonnegativity and possibly other constraints, such as flux conservation. ACQUIRE is a line-search method that … Read more

    A quasi-Newton projection method for nonnegatively constrained image deblurring

  • Germana Landi
  • Elena Loli Piccolomini
    • Categories Basic Sciences Applications, Bound-constrained Optimization Tags , , , ,

    In this paper we present a quasi-Newton projection method for image deblurring. The mathematical problem is a constrained minimization problem, where the objective function is a regularization function and the constraint is the positivity of the solution. The regularization function is a sum of the Kullback-Leibler divergence, used to minimize the error in the presence … Read more