NDLI: CT image reconstruction using hexagonal grids

Content Provider	IEEE Xplore Digital Library
Author	Knaup, M. Steckmann, S. Bockenbach, O. Kachelriess, M.
Copyright Year	2007
Description	Author affiliation: Univ. of Erlangen-Nurnberg, Erlangen (Knaup, M.; Steckmann, S.)
Abstract	In the transversal plane CT exhibits a nearly rotational symmetric point spread function. Pixel sampling is typically done on Cartesian grids which are not ideal from a signal processing point of view. It is advantageous to use a hexagonal grid which can capture the same signal components with 13% fewer sampling points. In 3D one can even save 29%. We developed an efficient scheme to allow for arbitrarily shaped field of views and a hierarchical memory layout. The latter divides the images into small hexagonal subimages, similar to honeycombs, whose size is small enough to avoid cache misses on CPU-based algorithms or to be used on dedicated signal processing hardware such as GPUs (graphics processing units) or CBEs (cell broadband engines) that may be memory limited. As the final step a resampling algorithm converts from the hex domain to the Cartesian domain before storing images. We implemented a hyperfast CBE-based Feldkamp algorithm for the hexagonal lattice and compared its performance and its image quality to reconstructions using the standard Feldkamp algorithm. Both algorithms were run on the Dual Cell Based System (DCBS, Mercury Computer Systems, Berlin, Germany) on two CBEs with 3.2 GHz each. A $512^{3}$ volume was reconstructed from 720 projections of $512^{2}$ detector pixels. Image quality of the hexagonal approach was identical to the direct approach using the Cartesian lattice: the maximum relative difference between the MTFs was 1% and image noise differed by not more than 3%. The improvement in reconstruction speed was approximately 12% for the hexagonal grid which is slightly lower than the expectation. The complete reconstruction finished in about 10 s. With identical image quality reconstruction on the hexagonal grid is a simple and effective approach to significantly reduce memory consumption and reconstruction time. Existing reconstruction algorithms can be easily modified to operate in the hexagonal domain.
Starting Page	3074
Ending Page	3076
File Size	625708
Page Count	3
File Format	PDF
ISBN	9781424409228
ISSN	10957863
DOI	10.1109/NSSMIC.2007.4436779
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computed tomography Image reconstruction Signal processing algorithms Image quality Image sampling Signal sampling Lattices Signal processing Layout Hardware
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

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