Abstract
In this paper we address the parallel beam 2D computer tomography reconstruction. The proposed method belongs to the field of analytic reconstruction methods and is compared to several methods known in the field, among other the two-step Hilbert-transform method. In contrast to the latter, the derivative data is multiplied with an orientation vector and the Hilbert transform is replaced with the Riesz transform. Experimental results show that the new method is superior to established ones concerning aliasing, noise, and DC errors.
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References
Radon J. On the determination of functions from their integral values along certain manifolds. IEEE Trans Med Imaging. 1986;5:170–6.
Noo F, Clackdoyle R, Pack JD. A two-step Hilbert transform method for 2D image reconstruction. Phys Med Biol. 2004;49:3903–23.
Solmon DC. Asymptotic formulas for the dual Radon transform and applications. Math Z. 1987;195:321–43.
Zeng GL. Image reconstruction via the finite Hilbert transform of the derivative of the backprojection. Med Phys. 2007;34:2837–43.
Bracewell RN. Two-Dimensional Imaging. Prentice Hall Signal Processing Series. Prentice Hall, Englewood Cliffs; 1995.
Stein EM, Weiss G. Introduction to Fourier Analysis on Euclidean Spaces. Princeton University Press, New Jersey; 1971.
Felsberg M, Sommer G. The monogenic signal. IEEE Trans Signal Process. 2001;49:3136–44.
Felsberg M, Duits R, Florack L. The monogenic scale space on a rectangular domain and its features. Int J Comput Vis. 2005;64.
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© 2008 Springer-Verlag Berlin Heidelberg
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Felsberg, M. (2008). A Novel Two-Step Method for CT Reconstruction. In: Tolxdorff, T., Braun, J., Deserno, T.M., Horsch, A., Handels, H., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2008. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78640-5_61
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DOI: https://doi.org/10.1007/978-3-540-78640-5_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78639-9
Online ISBN: 978-3-540-78640-5
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