Abstract
Image restoration, i.e., the recovery of images that have been degraded by blur and noise, is a challenging inverse problem. A unified variational approach to edge-preserving image deconvolution and impulsive noise removal has recently been suggested by the authors and shown to be effective. It leads to a minimization problem that is iteratively solved by alternate minimization for both the recovered image and the discontinuity set. The variational formulation yields a nonlinear integro-differential equation. This equation was linearized by fixed point iteration. In this paper, we analyze and prove the convergence of the iterative method.
Original language | English |
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Pages (from-to) | 983-994 |
Number of pages | 12 |
Journal | Multiscale Modeling and Simulation |
Volume | 6 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2007 |
Keywords
- Convergence analysis
- Variational image deconvolution