@inproceedings{f747c4819a2a4c4184b92e93bad5cb44,
title = "A simple motion tracking backprojection for a class of affine transformation",
abstract = "Image reconstruction of dynamically deforming objects from projections and known time-dependent motion field is of interest for x-ray computed tomography. Recently, three analytical exact methods have been developed based on DFBP or DBPF algorithms which compensates for time-dependent standard affine or relaxed affine transformation [1-3]. In contrast, an empirical algorithm has been proposed by Schafer, et ah, which merely {"}trace{"} the motion of each voxel during the backprojection process [4, 5]. The method is known to be an approximation; however, it has not been discussed how good or bad the level of approximation is. In this paper, we present that a slightly modified Schafer's method (FBPx) is exact if the motion of the object can be described by a class of time-dependent affine transformation-isotropic scaling (contraction and expansion), rotation, and translation. We show mathematically and experimentally that Schafer's method is a good approximation.",
keywords = "Computed tomography, Deforming object, Motion compensation",
author = "Katsuyuki Taguchi and Hiroyuki Kudo",
year = "2008",
doi = "10.1117/12.769560",
language = "English (US)",
isbn = "9780819470973",
series = "Progress in Biomedical Optics and Imaging - Proceedings of SPIE",
booktitle = "Medical Imaging 2008 - Physics of Medical Imaging",
note = "Medical Imaging 2008 - Physics of Medical Imaging ; Conference date: 18-02-2008 Through 21-02-2008",
}