Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates
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Yumeng Guo
,
Jiaxi Wang
Abstract
The exterior cone-beam computed tomography (CBCT) appears when the x-rays can only pass through the exterior region of an object due to the restriction of the size of the detector, the energy of x-rays and many other factors. The exterior CBCT is an ill-posed inverse problem due to the missing projection data. The distribution of artifacts in exterior CBCT is highly related to the direction of missing projection data. In order to reduce artifacts and reconstruct high quality image, an image reconstruction method based on weighted directional total variation in cylindrical coordinates (cWDTV)is presented in this paper. The directional total variation is calculated according to the direction of missing projection data. The weights are set to reduce artifacts and preserve edges. The convexity of cWDTV and the relationship between cWDTV and classical TV are also illustrated to explain the advantages of our method. Simulated experiments show that our method can improve the performance on artifact reduction and edge preserving.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 61771003
Funding source: Ministry of Education of China
Award Identifier / Grant number: 2013YQ030629
Funding statement: This work is supported by the National Natural Science Foundation of China (Grant No. 61771003), Special project for the development of major national scientific instruments and equipment of China (Grant No. 2013YQ030629).
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates
- Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in ℝn
- Lipschitz stability for a semi-linear inverse stochastic transport problem
- Inverse problem for elastic body with thin elastic inclusion
- Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source
- Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions
- A time delay dynamical model for outbreak of 2019-nCoV and the parameter identification
- A linear regularization method for a parameter identification problem in heat equation
- A study of frozen iteratively regularized Gauss–Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition
- Numerics of acoustical 2D tomography based on the conservation laws
- Identification of the diffusion coefficient in a time fractional diffusion equation
- Linear least squares method in nonlinear parametric inverse problems
Artikel in diesem Heft
- Frontmatter
- Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates
- Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in ℝn
- Lipschitz stability for a semi-linear inverse stochastic transport problem
- Inverse problem for elastic body with thin elastic inclusion
- Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source
- Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions
- A time delay dynamical model for outbreak of 2019-nCoV and the parameter identification
- A linear regularization method for a parameter identification problem in heat equation
- A study of frozen iteratively regularized Gauss–Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition
- Numerics of acoustical 2D tomography based on the conservation laws
- Identification of the diffusion coefficient in a time fractional diffusion equation
- Linear least squares method in nonlinear parametric inverse problems
