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Kronecker product approximations for image restoration with new mean boundary conditions

  • Xi Le Zhao
  • , Ting Zhu Huang
  • , Xiao Guang Lv
  • , Zong Ben Xu
  • , Jie Huang
  • University of Electronic Science and Technology of China

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

As an alternative to classic boundary conditions, new mean boundary conditions for image restoration problem have been recently introduced by Shi and Chang [Y. Shi, Q. Chang, Acceleration methods for image restoration problem with different boundary conditions, Applied Numerical Mathematics 58 (2008) 602-614]. In this paper, we propose an efficient scheme for computing the Kronecker product approximations of blurring matrices with the new mean boundary conditions. Our scheme does not require the symmetry condition of point spread functions. Detailed experiments in image restoration are given to demonstrate the efficiency of our scheme.

Original languageEnglish
Pages (from-to)225-237
Number of pages13
JournalApplied Mathematical Modelling
Volume36
Issue number1
DOIs
StatePublished - Jan 2012

Keywords

  • Image restoration
  • Kronecker product approximation
  • New mean boundary conditions
  • Truncated singular value decomposition

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