A fast algorithm for high-resolution color image reconstruction with multisensors

Michael K. Ng, Wilson C. Kwan, Raymond H. Chan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 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
Title of host publicationNumerical Analysis and Its Applications - 2nd International Conference, NAA 2000, Revised Papers
EditorsLubin Vulkov, Plamen Yalamov, Jerzy Waniewski
PublisherSpringer Verlag
Pages615-627
Number of pages13
ISBN (Print)9783540418146
DOIs
Publication statusPublished - 2001
Event2nd International Conference on Numerical Analysis and Its Applications, NAA 2000 - Rousse, Bulgaria
Duration: 11 Jun 200015 Jun 2000

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1988
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd International Conference on Numerical Analysis and Its Applications, NAA 2000
Country/TerritoryBulgaria
CityRousse
Period11/06/0015/06/00

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