2000
DOI: 10.1109/42.870247
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Exact Radon rebinning algorithm for the long object problem in helical cone-beam CT

Abstract: This paper addresses the long object problem in helical cone-beam computed tomography. We present the PHI-method, a new algorithm for the exact reconstruction of a region-of-interest (ROI) of a long object from axially truncated data extending only slightly beyond the ROI. The PHI-method is an extension of the Radon-method, published by Kudo, Noo, and Defrise in issue 43 of journal Physics in Medicine and Biology. The key novelty of the PHI-method is the introduction of a virtual object fpsi(x) for each value … Show more

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Cited by 77 publications
(46 citation statements)
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“…The combined rotational motion of the gantry and the patient axial translation result in a helical trajectory of the collimator focal point around the brain. Similar to helical SPECT proposed for long-object cone-beam imaging (4)(5)(6), pinhole imaging (7), and CT scans (8)(9)(10), helical triple-HCB scans demonstrated markedly improved axial sampling and showed no signs of axial artifacts in simulation and experiments (2,3).…”
mentioning
confidence: 73%
“…The combined rotational motion of the gantry and the patient axial translation result in a helical trajectory of the collimator focal point around the brain. Similar to helical SPECT proposed for long-object cone-beam imaging (4)(5)(6), pinhole imaging (7), and CT scans (8)(9)(10), helical triple-HCB scans demonstrated markedly improved axial sampling and showed no signs of axial artifacts in simulation and experiments (2,3).…”
mentioning
confidence: 73%
“…In 2000 Schaller, etc also proposed an exact solution (PHI-method) (Schaller et al, 2000c) to solve long-object problem. The main novelty of the PHI-method is the introduction of a virtual object f φ (x) for each value of the azimuthal angle φ in the image space, with each virtual object having the property of being equal to the real object f(x) in some ROI(Ωm).…”
Section: Phi-methods (2000)mentioning
confidence: 99%
“…With the advent of multi-row detectors in CT scanners, these theories have been extensively exploited to yield exact multi slice reconstruction using helical trajectories [7,8,9,10]. With C-arms however (such a trajectory being unnatural) there have been other suggestions like a circle and a line [11], two orthogonal circles [6], etc.…”
Section: Introductionmentioning
confidence: 98%
“…Zeng et al [11] employed Smith's method for a circle and orthogonal line geometry that was suitable for SPECT imaging. Various methods have also been proposed in helical CT that solve the long object problem and deal with axial truncation [7,8,9,13]. Unfortunately, the application of exact reconstruction theory in C-arm reconstructions has been relatively unpopular.…”
Section: Introductionmentioning
confidence: 99%