Compensation of Some Time Dependent Deformations in Tomography

This work concerns 2D+t dynamic tomography. We show that a much larger class of deformations than the affine transforms can be compensated analytically within filtered back projection algorithms in 2D parallel beam and fan beam dynamic tomography. We present numerical experiments on the Shepp and Lo...

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Veröffentlicht in:	IEEE transactions on medical imaging 2007-02, Vol.26 (2), p.261-269
Hauptverfasser:	Desbat, L., Roux, S., Grangeat, P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithm design and analysis Algorithms Analytic reconstruction Attenuation Bioengineering Computed tomography deformation compensation dynamic tomography Geometry Heart Image reconstruction Image sampling Imaging phantoms Imaging, Three-Dimensional Imaging, Three-Dimensional - methods Life Sciences Motion Motion compensation Projection algorithms Radiographic Image Enhancement Radiographic Image Enhancement - methods Radiographic Image Interpretation, Computer-Assisted Radiographic Image Interpretation, Computer-Assisted - methods Reproducibility of Results Sensitivity and Specificity Time Factors Tomography, X-Ray Computed Tomography, X-Ray Computed - methods
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Beschreibung
Zusammenfassung:	This work concerns 2D+t dynamic tomography. We show that a much larger class of deformations than the affine transforms can be compensated analytically within filtered back projection algorithms in 2D parallel beam and fan beam dynamic tomography. We present numerical experiments on the Shepp and Logan phantom showing that nonaffine deformations can be compensated. A generalization to 3D cone beam tomography is proposed
ISSN:	0278-0062 1558-254X
DOI:	10.1109/TMI.2006.889743