NDLI: Wavelet-based adaptive image deconvolution

Content Provider	IEEE Xplore Digital Library
Author	Figueiredo, Mario A. T. Nowak, Robert D.
Copyright Year	2002
Description	Author affiliation: Dept. of Electrical and Computer Eng., Rice University, Houston, TX 77005, U.S.A. (Nowak, Robert D.) \|\| Institute of Telecommunications, Instituto Superior Técnico, 1049-001 Lisboa, Portugal (Figueiredo, Mario A. T.)
Abstract	This paper introduces an adaptive expectation-maximization (EM) algorithm for image restoration (deconvolution) formulated in the wavelet domain. The observed image is assumed to be a convolved and noisy version of the original image to be estimated. The restoration process is supported on prior knowledge about the original image, expressed in the wavelet coefficients, taking advantage of the sparsity of wavelet representations. Although similar formulations have been considered before, the resulting optimization problems have been computationally demanding and require offline tuning. The EM algorithm herein proposed combines the efficient image/signal representation offered by the discrete wavelet transform (OWT) with the diagonalization of the convolution operator provided by the discrete Fourier transform (OFT). The result is a very efficient iterative algorithm that requires D (N log N) operations per iteration. Moreover, by using a recently proposed parameter-free wavelet-domain prior, and by including the estimation of the noise variance in the EM steps, the resulting algorithm is fully data-adaptive.
File Size	953004
File Format	PDF
ISBN	0780374029
ISSN	15206149
DOI	10.1109/ICASSP.2002.5744944
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-05-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet transforms Algorithm design and analysis Signal to noise ratio Estimation Art Approximation methods
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in