RADON TRANSFORMATION IN THE TOMOGRAPHIC IMAGE RECONSTRUCTION
DOI:
https://doi.org/10.24867/05JV01VeleckovicKeywords:
Tomography, Radon transformation, Computer tomographyAbstract
This paper analyzes the properties of Radon transformation and its application in tomographic image reconstruction. In the experimental part, the results of the reconstruction realized in the Matlab program package were presented and analyzed.
References
[1] G. T. Herman, A. Kuba, “Discrete Tomography”, Springer Science, USA, 1999
[2] E. Barcucci, A. D. Lungo, M. Nivat, R. Pinzani, “Reconstructing convex polyominoes from their horizontal and vertical projections”, Theoretical Computer Science, pp. 321-347, 1996
[3] H. Gabor, “Fundamentals of computerized tomograohy: image reconstruction from projections”, Springer Science, USA, 2009
[4] J. Radon, “On the determination of functions from their integral values along certain manifolds”, IEEE Transactions on Medical Imaging, 1986.
[5] S.Webber, Discrete Tomography by Covex - Concave Regularization using Linear and Quadratic Optimization, Doctor thesis, University of Heidelberg, 2009.
[2] E. Barcucci, A. D. Lungo, M. Nivat, R. Pinzani, “Reconstructing convex polyominoes from their horizontal and vertical projections”, Theoretical Computer Science, pp. 321-347, 1996
[3] H. Gabor, “Fundamentals of computerized tomograohy: image reconstruction from projections”, Springer Science, USA, 2009
[4] J. Radon, “On the determination of functions from their integral values along certain manifolds”, IEEE Transactions on Medical Imaging, 1986.
[5] S.Webber, Discrete Tomography by Covex - Concave Regularization using Linear and Quadratic Optimization, Doctor thesis, University of Heidelberg, 2009.
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Published
2019-11-28
Issue
Section
Mathematics in Engineering
