| Minimum detection windows, PI-line existence and uniqueness for helical cone-beam scanning of variable pitch. | |
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MedLine Citation:
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PMID: 15070255 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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The goal of this paper is to study Cone-beam CT scanning along a helix of variable pitch. First the rationale and applications in medical imaging of variable pitch CT reconstruction are explained. Then formulas for the minimum detection window are derived. The main part of the paper proves a necessary and sufficient condition for the existence and uniqueness of PI-lines inside this variable pitch helix. These results are necessary steps toward an exact reconstruction algorithm for helix scanning of variable pitch, generalizing Katsevich's formula on constant pitch exact reconstruction. It is shown through an example that, when the derivative of the pitch function is not convex, or when the pitch function passes a inflection point and begins to slow down, PI-lines may be not unique near the rim of the helix cylinder. The conclusion is that the restriction on the pitch function is weaker, if the object is placed well within the helix cylinder and far from its rim, in order to preserve the uniqueness of PI-lines. If the object is near the rim, the restriction condition on the allowable pitch functions becomes stronger. |
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Authors:
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Yangbo Ye; Jiehua Zhu; Ge Wang |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, P.H.S. |
Journal Detail:
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Title: Medical physics Volume: 31 ISSN: 0094-2405 ISO Abbreviation: Med Phys Publication Date: 2004 Mar |
Date Detail:
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Created Date: 2004-04-08 Completed Date: 2004-10-18 Revised Date: 2007-11-14 |
Medline Journal Info:
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Nlm Unique ID: 0425746 Medline TA: Med Phys Country: United States |
Other Details:
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Languages: eng Pagination: 566-72 Citation Subset: IM |
Affiliation:
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Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USA. yangbo-ye@uiowa.edu |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Angiography
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methods* Image Processing, Computer-Assisted / methods* Models, Statistical Models, Theoretical Phantoms, Imaging Tomography Scanners, X-Ray Computed Tomography, X-Ray Computed / instrumentation, methods* |
| Grant Support | |
ID/Acronym/Agency:
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EB002667/EB/NIBIB NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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