Motion-compensated iterative cone-beam CT image reconstruction with adapted blobs as basis functions

Alfonso Isola, A Ziegler, T Koehler, Wiro Niessen, M Grass

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54 Citations (Scopus)


This paper presents a three-dimensional method to reconstruct moving objects from cone-beam X-ray projections using an iterative reconstruction algorithm and a given motion vector field. For the image representation, adapted blobs are used, which can be implemented efficiently as basis functions. Iterative reconstruction requires the calculation of line integrals (forward projections) through the image volume, which are compared with the actual measurements to update the image volume. In the existence of a divergent motion vector field, a change in the volumes of the blobs has to be taken into account in the forward and backprojections. An efficient method to calculate the line integral through the adapted blobs is proposed. It solves the problem, how to compensate for the divergence in the motion vector field on a grid of basis functions. The method is evaluated on two phantoms, which are subject to three different known motions. Moreover, a motion-compensated filtered back-projection reconstruction method is used, and the reconstructed images are compared. Using the correct motion vector field with the iterative motion-compensated reconstruction, sharp images are obtained, with a quality that is significantly better than gated reconstructions.
Original languageUndefined/Unknown
Pages (from-to)6777-6797
Number of pages21
JournalPhysics in Medicine and Biology
Issue number23
Publication statusPublished - 2008

Research programs

  • EMC NIHES-03-30-03

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