An explicit closed-form solution to the limited-angle discrete tomography problem for finite-support objects
dc.contributor.author | Yagle, Andrew E. | en_US |
dc.date.accessioned | 2006-04-19T14:07:25Z | |
dc.date.available | 2006-04-19T14:07:25Z | |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Yagle, Andrew E. (1998)."An explicit closed-form solution to the limited-angle discrete tomography problem for finite-support objects." International Journal of Imaging Systems and Technology 9(2–3): 174-180. <http://hdl.handle.net/2027.42/35065> | en_US |
dc.identifier.issn | 0899-9457 | en_US |
dc.identifier.issn | 1098-1098 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/35065 | |
dc.description.abstract | An explicit formula is presented for reconstructing a finite-support object defined on a lattice of points and taking on integer values from a finite number of its discrete projections over a limited range of angles. Extensive use is made of the discrete Fourier transform in doing so. The approach in this article computes the object sample values directly as a linear combination of the projections sample values. The well-known ill-posedness of the limited angle tomography problem manifests itself in some very large coefficients in these linear combinations; these coefficients (which are computed off-line) provide a direct sensitivity measure of the reconstruction samples to the projections samples. The discrete nature of the problem implies that the projections must also take on integer values; this means noise can be rejected. This makes the formula practical. © 1998 John Wiley & Sons, Inc. Int J Imaging Syst Technol, 9, 174–180, 1998 | en_US |
dc.format.extent | 105731 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | John Wiley & Sons, Inc. | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Electronic, Electrical & Telecommunications Engineering | en_US |
dc.title | An explicit closed-form solution to the limited-angle discrete tomography problem for finite-support objects | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Electrical Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-2122 ; Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-2122 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/35065/1/14_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/(SICI)1098-1098(1998)9:2/3<174::AID-IMA14>3.0.CO;2-X | en_US |
dc.identifier.source | International Journal of Imaging Systems and Technology | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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