Abstract
Restricted by the practical applications and radiation exposure of computed tomography (CT), the obtained projection data is usually incomplete, which may lead to a limited-angle reconstruction problem. Whereas reconstructing an object from limited-angle projection views is a challenging and ill-posed inverse problem. Fortunately, the regularization methods offer an effective way to deal with that. Recently, several researchers are absorbed in
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 61271313
Award Identifier / Grant number: 61471070
Funding statement: This work is supported by the National Natural Science Foundation of China (Grants 61271313, 61471070) and National Instrumentation Program of China (2013YQ030629).
Acknowledgements
We thank the engineering research center of industrial computed tomography nondestructive testing of Chongqing university for providing us with the actual gear data. Furthermore, we thank the reviewers for the valuable comments and suggestions.
References
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- TGV-based multiplicative noise removal approach: Models and algorithms
- Design criteria for geometrical calibration phantoms in fan and cone beam CT systems
- Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from Positron Emission Tomography
- An adaptive iteration reconstruction method for limited-angle CT image reconstruction
- Accuracy estimates of regularization methods and conditional well-posedness of nonlinear optimization problems
- A non-smooth and non-convex regularization method for limited-angle CT image reconstruction
- Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation
- A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation
- A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level
Artikel in diesem Heft
- Frontmatter
- TGV-based multiplicative noise removal approach: Models and algorithms
- Design criteria for geometrical calibration phantoms in fan and cone beam CT systems
- Under-relaxed quasi-Newton acceleration for an inverse fixed-point problem coming from Positron Emission Tomography
- An adaptive iteration reconstruction method for limited-angle CT image reconstruction
- Accuracy estimates of regularization methods and conditional well-posedness of nonlinear optimization problems
- A non-smooth and non-convex regularization method for limited-angle CT image reconstruction
- Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation
- A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation
- A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level