Chitkara Open Access Journals - Blog

Study of CT Images Processing with the Implementation of MLEM Algorithm using CUDA on NVIDIA’S GPU Framework


T. A. Valencia-Pérez, J. M. Hernández-López, E. Moreno-Barbosa and B. de Celis-Alonso, Faculty of Physical Sciences Mathematics Benemérita Universidad Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, Building FM2-203, Ciudad Universitaria, C.P. 72570, Puebla, Mexico


Computed tomography, Algorithms, GPU, Reconstruction, Image quality


In medicine, the acquisition process in Computed Tomography Images (CT) is obtained by a reconstruction algorithm. The classical method for image reconstruction is the Filtered Back Projection (FBP). This method is fast and simple but does not use any statistical information about the measurements. The appearance of artifacts and its low spatial resolution in reconstructed images must be considered. Furthermore, the FBP requires of optimal conditions of the projections and complete sets of data. In this paper a methodology to accelerate acquisition process for CT based on the Maximum Likelihood Estimation Method (MLEM) algorithm is presented.



S. C. Bushong, Manual de radiología para técnicos: Física, biología y protección radiológica. Elsevier, 2010.

Health at a Glance 2017. OECD Publishing, 2017.

T. M. Buzug, Computed Tomography: From Photon Statistics to Modern Cone-Beam CT. Springer, Berlin, Heidelberg, 2008.

K. Peace et al., J. Neurosci. Nurs. 42, 109, 2010.

L. A. Feldkamp, L. C. Davis and J. W. Kress, J. Opt. Soc. Am. 1, 612 (1984).

A. C. Kak, M. Slaney, G. Wang, Med. Phys. 29, 107 (2002).

S. R. Deans, The Radon Transform and Some of Its Applications. John Wiley & Sons, Inc., 1983.

J. Radon, Akad. Wiss. 69, 262 (1917).

F. Natterer, The Mathematics of Computerized Tomography. Society for Industrial and Applied Mathematics, 2001.

B. F. Hutton, J. Nuyts, Y. H. Zaidi, “Iterative Reconstruction Methods”, en Quantitative Analysis in Nuclear Medicine Imaging, H. Zaidi, Ed. Boston, MA: Springer US, 2006, pp. 107–14.

G. L. Zeng, Medical Image Reconstruction. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010.