Negative Results for Multilevel Preconditioners in Image Deblurring

  • Authors:
  • C. R. Vogel

  • Affiliations:
  • -

  • Venue:
  • SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
  • Year:
  • 1999

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Abstract

A one-dimensional deconvolution problem is discretized and certain multilevel preconditioned iterative methods are applied to solve the resulting linear system. The numerical results suggest that multilevel multiplicative preconditioners may have no advantage over two-level multiplicative preconditioners. In fact, in the numerical experiments they perform worse than comparable two-level preconditioners.