Deblurring Methods Using Antireflective Boundary Conditions

@article{Christiansen2008DeblurringMU,
  title={Deblurring Methods Using Antireflective Boundary Conditions},
  author={Martin Christiansen and Martin Hanke},
  journal={SIAM J. Scientific Computing},
  year={2008},
  volume={30},
  pages={855-872}
}
Abstract. In this note we consider the numerical solution of selfadjoint deblurring problems on bounded intervals. For these problems it has recently been shown that appropriate modelling of the solution near the boundary of the interval may significantly improve the numerical reconstructions. Among the alternatives the so-called antireflective boundary condition appears to be the best known choice. Here we develop an appropriate, i.e., stable and efficient implementation of this model in two… CONTINUE READING
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References

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SHOWING 1-10 OF 11 REFERENCES

Anti-reflective boundary conditions and re-blurring

  • M. Donatelli, S. Serra-Capizzano
  • Inverse Problems,
  • 2005
Highly Influential
12 Excerpts

A note on antireflective boundary conditions and fast deblurring methods

  • S. Serra-Capizzano
  • SIAM J. Sci. Comput.,
  • 2003
Highly Influential
11 Excerpts

Pitfalls in the numerical solution of linear ill-posed problems

  • J. M. Varah
  • SIAM J. Sci. Statist. Comput.,
  • 1983
Highly Influential
2 Excerpts

Spectral and computational properties of band symmetric Toeplitz matrices

  • D. Bini, M. Capovani
  • Linear Algebra Appl.,
  • 1983
Highly Influential
2 Excerpts

Die Behandlung antireflektiver Randbedingungen bei der numerischen Lösung von Faltungsgleichungen

  • M. Christiansen
  • Diploma thesis, Johannes Gutenberg-Universität…
  • 2006
2 Excerpts

Iterative Methods for Toeplitz Systems

  • M. K. Ng
  • 2004

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