A fully four-dimensional iterative motion estimation and compensation method for cardiac CT

Qiulin Tang, Jochen Cammin, Somesh Srivastava, Katsuyuki Taguchi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


A new class of fully 4-dimensional image reconstruction algorithm for cardiac CT was developed. The proposed method is an iterative algorithm that alternates two methods, motion estimation (ME) method and motion compensated reconstruction (MCR) method. The ME method estimates the cardiac MVF using elastic image registration between the reference phase and other phases. The motion of heart was modeled by the linear combination of cubic B-spline basis function. The sum of squared difference and spatial and temporal regularization terms were chosen as the cost function, which is minimized by a nested conjugate gradient method. The MCR method (Schafer's method) reconstructs cardiac images using the MVF estimated by the ME method. The reconstructed images will be fed to ME in the next iteration. The ME and MCR were performed alternately till convergence was achieved. Accuracy of the proposed method was evaluated using 3 patient data acquired by a 64-slice CT scanner. The heart rates of the patients ranged between 52 and 88 beats-per-minute. The motion artifacts were significantly decreased by the proposed method, and the degree of improvement increased as the iteration progressed.

Original languageEnglish
Title of host publicationMedical Imaging 2012
Subtitle of host publicationPhysics of Medical Imaging
StatePublished - 2012
EventMedical Imaging 2012: Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 5 2012Feb 8 2012

Publication series

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


ConferenceMedical Imaging 2012: Physics of Medical Imaging
Country/TerritoryUnited States
CitySan Diego, CA


  • CG
  • motion compensation
  • motion estimation


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