Abstract
Tomography is traditionally associated with medical ‘CT’ scanners that have been in use for over 30 years now. This mathematical concept is now applied widely by scientists and engineers in a variety of measurements involving solids, fluid, gases and plasmas. Instrumentation based on X-rays, gammarays, lasers and acoustics have been used successfully in these applications. Inherent error in such measurements can be also be estimated thus making tomographic imaging a very powerful non-invasive technique for field measurements.
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G N Hounsfield, Computerized transverse axial scanning (tomography). 1. Description of system, Br. J. Radiol., Vol.46, pp.1016–1022, 1973.
G N Ramachandran and A V Lakhshminarayanan, Three-dimensional reconstruction from radiographs and electron micrographs: Application of convolution instead of Fourier transforms, Proc. Natl. Sci. Acad. USA, Vol.68, pp.2236–2240, 1971.
P Munshi (ed.), Computerized Tomography for Scientists and Engineers, CRC Press, New York 2007.
F Natterer, The Mathematics of Computerized Tomography, John Wiley & Sons, New York, Equation 4.6, p.139, 1986.
P Munshi, R K S Rathore, K S Ram and M S Kalra, Error Estimates for Tomographic Inversion, Inverse Problems, Vol.7, pp.399–408, 1991.
P Munshi, Error analysis of tomographic filters I: Theory, NDT & E International, Vol.25, pp.191–194, 1992.
P Munshi, R K S Rathore, K S Ram and M S Kalra, Error analysis of Tomographic filters II: Results, NDT & E International, Vol.26, pp.235–240, 1993.
P Wells and P Munshi, An analysis of theoretical error in tomographic images, Nuclear Instruments and Methods in Physics Research, Vol.B93, pp.87–92, 1994.
P Munshi, M Maisl, H Reiter, Experimental aspects of the approximate error formula for computerized tomography, Materials Evaluation, Vol.55, pp.188–191, 1997.
G Davis, P Munshi, J C Elliott, Analysis of hard biological tissues using the tomographic error formula, Journal of X-ray Science and Technology, Vol.6, pp.63–76, 1996.
P Munshi, Picking the right solution from a set of correct solutions, Measurement Science and Technology, Vol.13, pp.647–653, 2002.
Mayuri Razdan, Amit Kumar and P Munshi, Second Level KT-1 Signature of CT Scanned Medical Images, Int. J. Tomography and Statistics, Vol.4, pp.20–32, 2006.
G T Herman, Image reconstruction from projections: The Fundamentals of Computerized Tomography, Academic Press, New York, 1980.
A C Kak and Malcolm Slaney, Principles of Computerized Tomographic Imaging, IEEE Press, 1988. Free electronic copy available for download at http://www.slaney.org/pct/pct-toc.html
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Prabhat Munshi is a Professor of Mechanical Engineering at IIT Kanpur. His major areas of his interest are computerized tomography and nuclear reactor safety analysis.
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Munshi, P. Tomography. Reson 12, 54–62 (2007). https://doi.org/10.1007/s12045-007-0114-2
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DOI: https://doi.org/10.1007/s12045-007-0114-2