Winkler, J.R. (2015) The Sylvester Resultant Matrix and Image Deblurring. In: Boissonnat, J.D., Lyche, T., Cohen, A., Mazure, M.L., Gibaru, O., Schumaker, L.L. and Gout, C., (eds.) Curves and Surfaces. 8th International Conference on Curves and Surfaces, June 12 - 18, 2014, Paris, France. Lecture Notes in Computer Science (9213). Springer , 461 - 490 . ISBN 978-3-319-22804-4
Abstract
This paper describes the application of the Sylvester resultant matrix to image deblurring. In particular, an image is represented as a bivariate polynomial and it is shown that operations on polynomials, specifically greatest common divisor (GCD) computations and polynomial divisions, enable the point spread function to be calculated and an image to be deblurred. The GCD computations are performed using the Sylvester resultant matrix, which is a structured matrix, and thus a structure-preserving matrix method is used to obtain a deblurred image. Examples of blurred and deblurred images are presented, and the results are compared with the deblurred images obtained from other methods.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2015 Springer. This is an author produced version of a paper subsequently published in Lecture Notes in Computer Science. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Computer Science (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 Oct 2015 08:38 |
Last Modified: | 24 Oct 2016 23:52 |
Published Version: | http://link.springer.com/chapter/10.1007/978-3-319... |
Status: | Published |
Publisher: | Springer |
Series Name: | Lecture Notes in Computer Science |
Refereed: | Yes |
Identification Number: | 10.1007/978-3-319-22804-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90558 |