Abstract：
:This paper discusses image reconstruction with a tilted gantry in multislice computed tomography (CT) with helical (spiral) data acquisition. The reconstruction problem with gantry tilt is shown to be transformable into the problem of reconstructing a virtual object from multislice CT data with no gantry tilt, for which various algorithms exist in the literature. The virtual object is related to the real object by a simple affine transformation that transforms the tilted helical trajectory of the X-ray source into a nontilted helix, and the real object can be computed from the virtual object using one-dimensional interpolation. However, the interpolation may be skipped since the reconstruction of the virtual object on a Cartesian grid provides directly nondistorted images of the real object on slices parallel to the tilted plane of the gantry. The theory is first presented without any specification of the detector geometry, then applied to the curved detector geometry of third-generation CT scanners with the use of Katsevich's formula for example. Results from computer-simulated data of the FORBILD thorax phantom are given in support of the theory.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Noo F,Defrise M,Kudo Hdoi
10.1109/TMI.2004.829337subject
Has Abstractpub_date
2004-09-01 00:00:00pages
1109-16issue
9eissn
0278-0062issn
1558-254Xjournal_volume
23pub_type
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