Please use this identifier to cite or link to this item: https://doi.org/10.1002/ima.20012
Title: High-resolution image reconstruction with displacement errors: A framelet approach
Authors: Chan, R.H.
Riemenschneider, S.D.
Shen, L.
Shen, Z. 
Keywords: Frame-lets
High-Resolution image reconstruction
Wavelets
Issue Date: 2004
Citation: Chan, R.H., Riemenschneider, S.D., Shen, L., Shen, Z. (2004). High-resolution image reconstruction with displacement errors: A framelet approach. International Journal of Imaging Systems and Technology 14 (3) : 91-104. ScholarBank@NUS Repository. https://doi.org/10.1002/ima.20012
Abstract: High-resolution image reconstruction arises in many applications, such as remote sensing, surveillance, and medical imaging. The Bose and Boo (1998) model can be viewed as the passage of the high-resolution image through a blurring kernel built from the tensor product of a univariate low-pass filter of the form [1/2 + ε, 1,..., 1, 1/2 - ε], where e is the displacement error. When the number L of low-resolution sensors is even, tight-frame symmetric framlet filters were constructed (Chan et al., 2004b) from this low-pass filter using Ron and Shen's (1997) unitary extension principle. The framelet filters do not depend on e, and hence the resulting algorithm reduces to that of the case where ε = 0. Furthermore, the framelet method works for symmetric boundary conditions. This greatly simplifies the algorithm. However, both the design of the tight framelets and extension to symmetric boundary are only for even L and cannot, be applied to the case when L is odd. In this article, we design tight framelets and derive a tight-framelet algorithm with symmetric boundary conditions that work for both odd and even L An analysis of the convergence of the algorithms is also given. The details of the implementations of the algorithm are also given. © 2004 Wiley Periodicals, Inc.
Source Title: International Journal of Imaging Systems and Technology
URI: http://scholarbank.nus.edu.sg/handle/10635/103375
ISSN: 08999457
DOI: 10.1002/ima.20012
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

19
checked on Dec 12, 2018

WEB OF SCIENCETM
Citations

12
checked on Dec 4, 2018

Page view(s)

41
checked on Nov 23, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.