Comparative analysis of radon transform regularization methods in computerized tomography

Authors:
K. V. Malakhov
Affiliations:
Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
Venue:
Computational Mathematics and Modeling
Year:
2013

Citing 3
Cited 0

A local regularization method for linear operator equations of the first kind and its applications

USSR Computational Mathematics and Mathematical Physics
The mathematics of computerized tomography

The mathematics of computerized tomography
Fundamentals of Computerized Tomography: Image Reconstruction from Projections

Fundamentals of Computerized Tomography: Image Reconstruction from Projections

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Abstract

The article examines the Radon transform for computerized tomography problems with regularization. Analytical formulas are considered for the inverse problem and inverse problem with regularization. To ensure better and more accurate results, an algorithm has been developed that generates the initial values without interpolation. All the algorithms considered in the present article have been implemented in a software package using CUDA parallel programming technology. This approach has increased the computing speed by an order of magnitude. A comparative analysis of global and local regularization is carried out for various types of noise. A numerical experiment using real data is described.