Abstract
The paper is devoted to computational aspects of the dual-energy digital x-ray photography. The efficiency of the most common integration techniques (trapezoid rule, Simpson's, Gregory's, and Gauss's formulas) for given limiting calculation errors has been studied. Recommendations are given for selecting an integration method and a technique for solving systems of integral equations with parameters.
Similar content being viewed by others
REFERENCES
Physics of Image Visualization in Medicine (translated into Russian under the title Fizika vizualizatsii izobrazhenii v meditsine in two volumes), vol. 1, S. Webb, ed., Moscow: Mir, 1991.
Brooks, R.A., A Quantitative Theory of the Hounsfield Unit and Its Application to Dual Energy Scanning, Comp. Assist. Tomogr., 1977, vol. 1, pp. 487-493.
Lehman, L.A., Alvarez, R.E., Macovsky, A., Brody, W.R., Pelc, N.J., Riederer, S.J., and Hall, A.L., Generalized Image Combinations in Dual kV Digital Radiography, Med. Phys., 1981, vol. 8, pp. 655-667.
Nedavnii, O.I., Osipov, S.P., and Sidulenko, O.A., Assessment of Possibilities Offered by Gamma-Absorption Method for Measurements of Layer Thicknesses in Multilayered Structures, Defektoskopiya, 1995, no. 11, pp. 74-81.
Nedavnii, O.I. and Osipov, S.P., Finite Difference Algorithm for Identifying Local Inhomogeneities in Structures, Defektoskopiya, 1996, no. 3, pp. 78-81.
Winiger, S. and Wellington, J., Application of Tomography to Studies of Three-Phase Flows, Pribory dlya Nauchnykh Issledovanii, 1987, vol. 58, no. 1, pp. 99-113.
Nedavnii, O.I. and Osipov, S.P., Measurements of Concentrations in Three-Component Mixtures by the Gamma-Absorption Method, Zavodskaya Laboratoriya, 1994, no. 12, pp. 15-76.
Ivanov, V.V., Metody vychisleni na EVM. Spravochnoe posobie (Method of Calculations on Computer Handbook), Kiev: Naukova Dumka, 1986.
Zav'yalkin, F.M. and Osipov, S.P., Selection of Scintillating Detector Dimensions and Correction Energies for the Dual Energy Method in Computer Tomography, Defektoskopiya, 1985, no. 9, pp. 71-76.
Inzhenernye raschety na EVM. Spravochnoe posobie (Engineering Calculations on a Computer. Handbook), V.A. Troitskii, ed., Leningrad: Mashinostroenie, 1979.
Samarskii, A.A., Vvedenie v chislennye metody (Introduction to Numerical Methods), Moscow: Nauka, 1982.
Corn, G. and Corn, T., Handbook on Mathematics. Translated into Russian under the title Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov, Moscow: Nauka, 1982.
Shoup, T., A Practical Guide to Computer Methods for Engineers, Prentice-Hall: Englewood Cliffs, 1979.
Nedavnii, O.I. and Osipov, S.P., Selection of Energies for Gamma-Absorption Method Measuring Thicknesses of Two-Layered Structures, Defektoskopiya, 2000, no. 10, pp. 83-90.
Forsythe, G., Malcolm, M., and Moler, C., Computer Methods for Mathematical Computations, Prentice-Hall: Englewood Cliffs, 1977.
Mashkovich, V.P., Zashchita ot ioniziruyushchikh izluchenii. Spravochnik (Protection against Ionizing Radiation. Handbook), 3rd revised edition, Moscow: Energoatomizdat, 1982.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nedavnii, O.I., Osipov, S.P. & Sidulenko, O.A. Computational Aspects of Dual Energy Digital X-ray Photography. Russian Journal of Nondestructive Testing 38, 170–175 (2002). https://doi.org/10.1023/A:1020639808189
Issue Date:
DOI: https://doi.org/10.1023/A:1020639808189