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EFFICIENT INVERSION OF THE CONE BEAM TRANSFORM FOR A GENERAL CLASS OF CURVES
| Title: | EFFICIENT INVERSION OF THE CONE BEAM TRANSFORM FOR A GENERAL CLASS OF CURVES. |
 19 views 11 downloads |
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| Name(s): |
Kapralov, Mikhail, Author Katsevich, Alexander, Committee Chair University of Central Florida, Degree Grantor |
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| Type of Resource: | text | |
| Date Issued: | 2007 | |
| Publisher: | University of Central Florida | |
| Language(s): | English | |
| Abstract/Description: | We extend an efficient cone beam transform inversion formula, proposed earlier for helices, to a general class of curves. The conditions that describe the class are very natural. Curves C are smooth, without self-intersections, have positive curvature and torsion, do not bend too much in a certain sense, and do not admit lines which are tangent to C at one point and intersect C at another point. A domain U is found where reconstruction is possible with a filtered backprojection type algorithm. Results of numerical experiments demonstrate very good image quality. The algorithm developed is useful for image reconstruction in computerized tomography. | |
| Identifier: | CFE0001579 (IID), ucf:47120 (fedora) | |
| Note(s): |
2007-05-01 M.S. Sciences, Department of Mathematics Masters This record was generated from author submitted information. |
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| Subject(s): |
cone-beam efficient inversion exact inversion |
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| Persistent Link to This Record: | http://purl.flvc.org/ucf/fd/CFE0001579 | |
| Restrictions on Access: | public | |
| Host Institution: | UCF |
