skip to main content
10.1145/1599301.1599335acmconferencesArticle/Chapter ViewAbstractPublication PagessiggraphConference Proceedingsconference-collections
research-article

Deblurring with rank-structured inverse approximations

Published: 03 August 2009 Publication History

Abstract

In this presentation, the restoration of images blurred by atmospheric turbulence is examined. The proposal uses a new class of approximations to blurring operators representing Gaussian blur. The Toeplitz matrix representing the blur is transformed into a Cauchy-like (CL) matrix using the FFT. In addition to the CL structure, the transformed matrix has a rank structure. In particular, the off-diagonal blocks have low rank. This class of matrices can be approximated quickly, and the structure can be exploited for fast image restoration.

References

[1]
Chandrasekaran, S., Gu, M., Sun, X., Xia, J., and Zhu, J. 2007. A superfast algorithm for toeplitz systems of linear equations. SIAM Journal on Matrix Analysis and Applications 29, 4, 1247--1266.
[2]
Hansen, P. C., and Jensen, T. K. 2008. Noise propagation in regularizing iterations for image deblurring. Electronic Transactions on Numerical Analysis 31, 204--220.
[3]
Nagy, J. G., Plemmons, R. J., and Torgersen, T. C. 1996. Iterative image restoration using approximate inverse preconditioning. IEEE Transactions on Image Processing 5, 7 (July), 1151--1162.

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
SIGGRAPH '09: SIGGRAPH '09: Posters
August 2009
103 pages
ISBN:9781450379281
DOI:10.1145/1599301
Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 03 August 2009

Check for updates

Author Tags

  1. deblurring
  2. rank-structured matrices
  3. structured matrices
  4. superfast algorithm
  5. toeplitz matrices

Qualifiers

  • Research-article

Conference

SIGGRAPH09
Sponsor:

Acceptance Rates

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • 0
    Total Citations
  • 157
    Total Downloads
  • Downloads (Last 12 months)1
  • Downloads (Last 6 weeks)0
Reflects downloads up to 20 Feb 2025

Other Metrics

Citations

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media