2004
DOI: 10.1088/0031-9155/49/11/004
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Exact reconstruction in 2D dynamic CT: compensation of time-dependent affine deformations

Abstract: This work is dedicated to the reduction of reconstruction artefacts due to motion occurring during the acquisition of computerized tomographic projections. This problem has to be solved when imaging moving organs such as the lungs or the heart. The proposed method belongs to the class of motion compensation algorithms, where the model of motion is included in the reconstruction formula. We address two fundamental questions. First what conditions on the deformation are required for the reconstruction of the obj… Show more

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Cited by 56 publications
(55 citation statements)
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“…In dynamic tomography, the attenuation f to be reconstructed is also a function of t. In our approach, we consider a time dependent deformation of the space as in [9], [10]. We introduce a time dependent deformation model Γ t and we assume that, for t ∈ T , Γ t are known bijective appropriately smooth functions on R 3 whose inverse are smooth too.…”
Section: B Deformation Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…In dynamic tomography, the attenuation f to be reconstructed is also a function of t. In our approach, we consider a time dependent deformation of the space as in [9], [10]. We introduce a time dependent deformation model Γ t and we assume that, for t ∈ T , Γ t are known bijective appropriately smooth functions on R 3 whose inverse are smooth too.…”
Section: B Deformation Modelmentioning
confidence: 99%
“…In particular, if the patient motion is globally rigid, this amounts to using virtual source and detector positions and applying the reconstruction algorithm as in the static case [11], [12], [13] or to deform data prior to reconstruction [14], [15]. These approaches can be generalized to deformations transforming the set of acquisition lines of each cone beam projection into other sets of concurent lines [9], [10], [16]. Thus, analytic approaches essentially allow for the compensation of deformations in subclasses of those presented in section I-B.…”
Section: Dynamic Reconstruction Approachesmentioning
confidence: 99%
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“…CT scanner rotation speed and sampling parameter adjustment to the heart period were also suggested in order to improve the reconstructed images [7]. This paper shares the same approach as Crawford et al [8] and Roux et al [9]. The idea is to introduce a time (denoted by t) dependent motion or a deformation model Γ t within the reconstruction.…”
Section: Introductionmentioning
confidence: 99%
“…In [9] the deformation compensation is incorporated within analytical reconstruction algorithms for time dependent ane deformations Γ t in 2D parallel 1 and fan beam tomography (a generalization to 3D is given in [10]). The 2D fan beam method is based on the recent reconstruction framework proposed by Noo et al [11].…”
Section: Introductionmentioning
confidence: 99%