General reconstruction theory for multislice X-ray computed tomography with a gantry tilt

IEEE Transactions on Medical Imaging
Frédéric NooH Kudo

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.

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Citations

Jun 21, 2012·Physics in Medicine and Biology·Zhicong YuJoachim Hornegger
Mar 15, 2006·Medical Physics·Katsuyuki TaguchiIlmar A Hein
Aug 11, 2006·Medical Physics·Marc KachelriessWilli A Kalender
Jan 1, 2006·International Journal of Biomedical Imaging·Ming YanHongzhu Liang
Nov 9, 2006·Medical Physics·Nianming ZuoXiao-Chuan Pan
Nov 25, 2005·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Yu ZouEmil Y Sidky
Mar 4, 2008·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Hongzhu LiangMing Yan
Jul 25, 2006·Physics in Medicine and Biology·Haiquan YangHiroyuki Kudo
May 7, 2005·Physics in Medicine and Biology·Alexander Katsevich
Oct 5, 2006·Physics in Medicine and Biology·Jiang Hsieh, Xiangyang Tang
Apr 28, 2020·Medical Physics·Chumin ZhaoWojciech Zbijewski
Nov 11, 2008·Physics in Medicine and Biology·Alexander A ZamyatinBeshan S Chiang

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