Current Search: Cone beam inversion (x)
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Title
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EFFICIENT INVERSION OF THE CONE BEAM TRANSFORM FOR A GENERAL CLASS OF CURVES.
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Creator
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Kapralov, Mikhail, Katsevich, Alexander, University of Central Florida
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Abstract / Description
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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...
Show moreWe 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.
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Date Issued
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2007
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Identifier
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CFE0001579, ucf:47120
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Format
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Document (PDF)
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PURL
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http://purl.flvc.org/ucf/fd/CFE0001579
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Title
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EFFICIENT CONE BEAM RECONSTRUCTION FOR THE DISTORTED CIRCLE AND LINE TRAJECTORY.
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Creator
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Konate, Souleymane, Katsevich, Alexander, University of Central Florida
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Abstract / Description
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We propose an exact filtered backprojection algorithm for inversion of the cone beam data in the case when the trajectory is composed of a distorted circle and a line segment. The length of the scan is determined by the region of interest , and it is independent of the size of the object. With few geometric restrictions on the curve, we show that we have an exact reconstruction. Numerical experiments demonstrate good image quality.
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Date Issued
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2009
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Identifier
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CFE0002530, ucf:47669
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Format
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Document (PDF)
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PURL
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http://purl.flvc.org/ucf/fd/CFE0002530
