title: Compensation of some time dependent deformations in tomography.
abstract: 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.
authors.affiliation: TIMC-IMAG, UMR UJF-CNRS 5525, Joseph Fourier Grenoble University Faculté de Médecine, 38706 La Tronche, France. laurent.desbat@imag.fr
authors.forename: Laurent
authors.initials: L
authors.lastname: Desbat
authors.forename: Sébastien
authors.initials: S
authors.lastname: Roux
authors.forename: Pierre
authors.initials: P
authors.lastname: Grangeat
mesh_terms: D000465:Algorithms; D016477:Artifacts; D021621:Imaging, Three-Dimensional / Q000379:methods*; D009038:Motion; D011856:Radiographic Image Enhancement / Q000379:methods*; D011857:Radiographic Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013997:Time Factors; D014057:Tomography, X-Ray Computed / Q000379:methods*