Abstract
In this paper an analytical iterative approach to the problem of image reconstruction from parallel projections is presented. The reconstruction process is performed using Expectation Minimization algorithm. Experimental results show that the appropriately designed reconstruction procedure is able to reconstruct an image with better quality than obtained using the traditional convolution/ back-projection algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cierniak, R.: Tomografia komputerowa. Akademicka Oficyna Wydawnicza EXIT, Warsaw (2005)
Cierniak, R.: X-ray computed tomography in biomedical engineering. Springer, London (2011)
Thibault, J.-B., Sauer, K.D., Bouman, C.A., Hsieh, J.: A three-dimensional statistical approach to improved image quality for multislice helical CT. Medical Physics 34, 4526–4544 (2007)
Cierniak, R.: A new approach to image reconstruction from projections problem using a recurrent neural network. Applied Mathematics and Computer Science 18, 147–157 (2008)
Cierniak, R.: A new approach to tomographic image reconstruction using a Hopfield-type neural network. International Journal Artificial Intelligence in Medicine 43, 113–125 (2008)
Cierniak, R.: A Novel Approach to Image Reconstruction Problem from Fan-Beam Projections Using Recurrent Neural Network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS (LNAI), vol. 5097, pp. 752–761. Springer, Heidelberg (2008)
Cierniak, R.: New neural network algorithm for image reconstruction from fan-beam projections. Elsevier Science: Neurocomputing 72, 3238–3244 (2009)
Snyder, D.L., Schulz, T.J., O’Sullivan, J.A.: Deblurring subject to nonnegativity constraints. IEEE Trans. on Signal Processing 40, 1143–1150 (1992)
Jain, A.K.: Fundamentals of Digital Image Processing. Prentice Hall, New Jersey (1989)
Kak, A.C., Slanley, M.: Principles of Computerized Tomographic Imaging. IEEE Press, New York (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dobosz, P. (2012). An Analytical Approach to the Image Reconstruction Problem Using EM Algorithm. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2012. Lecture Notes in Computer Science(), vol 7267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29347-4_57
Download citation
DOI: https://doi.org/10.1007/978-3-642-29347-4_57
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29346-7
Online ISBN: 978-3-642-29347-4
eBook Packages: Computer ScienceComputer Science (R0)