Affine scaling methods for image deblurring problems

Raymond H. CHAN, Benedetta MORINI, Margherita PORCELLI

Research output: Journal PublicationsJournal Article (refereed)peer-review

3 Citations (Scopus)


Blur in images can be removed by solving a series of box-constrained linear least-squares problems. In this paper, we compare two recent approaches for solving these problems using affine-scaling methods. Both approaches aim at solving a nonlinear system arising from the Karush-Kuhn-Tucker condition. One approach is to identify the active set and update the inactive components of the iterates by using a Newton-like method. The other is to iteratively solve the nonlinear system entry-wise by a Quasi-Newton method.

Original languageEnglish
Pages (from-to)1043-1046
Number of pages4
JournalAIP Conference Proceedings
Issue number1
Publication statusPublished - 30 Sept 2010
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece
Duration: 19 Sept 201025 Sept 2010


  • Affine Scaling
  • Barzilai-Borwein methods
  • Image Restoration
  • Newton methods


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