Reconstruction of dynamic objects with affine deformations in computerized tomography
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Bernadette Hahn
Abstract.
The data acquisition in computerized tomography takes a certain amount of time since the x-ray source has to be rotated around the specimen. An object that changes during the scanning causes inconsistent data sets. To avoid the motion artefacts in reconstructions, the algorithm has to take the dynamic behavior of the specimen into account. In this context, some a priori information about the movement is required. A reconstruction method is proposed that compensates for the motion with a special focus on affine deformations. It also permits the combination of reconstruction and image analysis tools to extract features of the object without motion artefacts. The algorithm is validated with a numerical example from medical imaging.
© 2014 by Walter de Gruyter Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Bayesian posterior contraction rates for linear severely ill-posed inverse problems
- Reconstruction of dynamic objects with affine deformations in computerized tomography
- Identification of a constant coefficient in a quasi-linear elliptic equation
- A parameter identification problem for spontaneous potential logging in heterogeneous formation
- On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: Regularization and error estimates
- Acceleration of the EM-like reconstruction method for diffuse optical tomography with ordered-subsets method
- A nonlinear multigrid method for inversion of two-dimensional acoustic wave equation
Artikel in diesem Heft
- Frontmatter
- Bayesian posterior contraction rates for linear severely ill-posed inverse problems
- Reconstruction of dynamic objects with affine deformations in computerized tomography
- Identification of a constant coefficient in a quasi-linear elliptic equation
- A parameter identification problem for spontaneous potential logging in heterogeneous formation
- On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: Regularization and error estimates
- Acceleration of the EM-like reconstruction method for diffuse optical tomography with ordered-subsets method
- A nonlinear multigrid method for inversion of two-dimensional acoustic wave equation
