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Avtometriya

2011 year, number 3

Solution of Three-Dimensional and Four-Dimensional Problems of Computerized Tomography Using Interflation of Functions

O. N. Litvin, Y. I. Pershina
Ukrainian Engineering Pedagogical Academy
academ@kharkov.ua, uulia_pershina@mail.ru
Keywords: interflation of functions, computerized tomography, three-dimensional and four-dimensional mathematical models, mixed approximation, interpolation
Pages: 41-48

Abstract

We propose a new method for reconstructing the internal structure of a three-dimensional body using four tomograms constructed on the basis of interflation of functions of three variables, and a new method for describing changes that occur in the object using the tomograms obtained at different times on a system of planes crossing the object.