NDLI: New formula for image reconstruction from projections by the 2-D paired transformation

Content Provider	IEEE Xplore Digital Library
Author	Grigoryan, A.M. Nan Du
Copyright Year	2009
Description	Author affiliation: The University of Texas at San Antonio, Department of Electrical and Computer Engineering, One UTSA Circle, San Antonio, TX 78249-0669 (Grigoryan, A.M.; Nan Du)
Abstract	To solve the problem of image reconstruction from projections, we describe an effective representation of the image by the paired transform which is a frequency and time representation of the image. We present a new effective formula for the inverse 2-D paired transform, which can be used for solving the algebraic system of equations with measurement data for image reconstruction without calculating the Fourier transforms. The image is reconstructed directly from the paired image-signals which can be calculated from projection data. A new concept of direction images is introduced, that define the decomposition of the image by directions. The proposed method of image reconstruction has been implemented and applied for modeled images of sizes up to 256 × 256.
Starting Page	153
Ending Page	156
File Size	369490
Page Count	4
File Format	PDF
ISBN	9781424427932
ISSN	1062922X
DOI	10.1109/ICSMC.2009.5346578
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-10-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image reconstruction Fourier transforms Equations Biomedical imaging Lattices Numerical analysis Cybernetics USA Councils Frequency Tensile stress tensor and paired transforms Fourier transform reconstruction from projections
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