High-Resolution Color Image Reconstruction with Neumann Boundary Conditions

Michael K. Ng*, Wilson C. Kwan

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

3 Citations (Scopus)

Abstract

This paper studies the application of preconditioned conjugate gradient methods in high-resolution color image reconstruction problems. The high-resolution color images are reconstructed from multiple undersampled, shifted, degraded color frames with subpixel displacements. The resulting degradation matrices are spatially variant. To capture the changes of reflectivity across color channels, the weighted H1 regularization functional is used in the Tikhonov regularization. The Neumann boundary condition is also employed to reduce the boundary artifacts. The preconditioners are derived by taking the cosine transform approximation of the degradation matrices. Numerical examples are given to illustrate the fast convergence of the preconditioned conjugate gradient method.

Original languageEnglish
Pages (from-to)99-113
Number of pages15
JournalAnnals of Operations Research
Volume103
DOIs
Publication statusPublished - Mar 2001

Scopus Subject Areas

  • General Decision Sciences
  • Management Science and Operations Research

User-Defined Keywords

  • image reconstruction
  • Toeplitz matrix
  • cosine transform
  • preconditioners
  • color

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