Abstract
The limited-angle computed tomography (CT) reconstruction problem is an ill-posed inverse problem, and the parameter selection for limited-angle CT iteration reconstruction is a difficult issue in practical application. In this paper, to alleviate the instability of limited-angle CT reconstruction problem and automatize the reconstruction process, we propose an adaptive iteration reconstruction method that the regularization parameter is chosen adaptively via the plot of the normalized wavelet coefficients fitting residual versus that the
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 61701174
Award Identifier / Grant number: 61771003
Funding statement: This work is supported by the National Natural Science Foundation of China (No.61771003 and No.61701174), the National Instrumentation Program of China (No. 2013YQ030629), the Hubei Provincial Natural Science Foundation of China (No. 2017CFB168), the Education Department of Hubei Province Science and Technology Research Project (No. Q20172803), and the PhD Start-up Fund of HBUST (No. BK1527).
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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