A simple motion tracking backprojection for a class of affine transformation

Katsuyuki Taguchi, Hiroyuki Kudo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2008 - Physics of Medical Imaging
DOIs
StatePublished - May 14 2008
EventMedical Imaging 2008 - Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 18 2008Feb 21 2008

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume6913
ISSN (Print)1605-7422

Other

OtherMedical Imaging 2008 - Physics of Medical Imaging
CountryUnited States
CitySan Diego, CA
Period2/18/082/21/08

Keywords

  • Computed tomography
  • Deforming object
  • Motion compensation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging

Fingerprint Dive into the research topics of 'A simple motion tracking backprojection for a class of affine transformation'. Together they form a unique fingerprint.

  • Cite this

    Taguchi, K., & Kudo, H. (2008). A simple motion tracking backprojection for a class of affine transformation. In Medical Imaging 2008 - Physics of Medical Imaging [69131V] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 6913). https://doi.org/10.1117/12.769560