X-ray limited-angle tomography of cracks

Abstract

The aim of this work is to obtain estimates of the accuracy of the x-ray limited-angle tomography method for determining the shape and size of internal cracks in large-sized reinforced concrete structures. A fan-beam registration scheme with a source moving along a circular arc is considered. For reconstruction, we use the fan-beam transform inversion formula and the algebraic method ART. By means of numerical simulation, the dependences of errors of the first and second kind on the mutual orientation of the central beam and the direction of the crack, the angular size of the source trajectory and the noise level are obtained.