Reconstruction of pixel-based and geometric objects by discrete tomography. Simulation and physical experiments

Abstract

Tomography is an imaging technique to reconstruct cross-sections of objects from projection images in a non-destructive way. We have implemented two discrete tomographic (DT) reconstruction methods. The first method is general in the sense that the objects to be reconstructed are represented by pixels, and in this way the method can be used for reconstructing any shape. The second one is able to reconstruct objects consisting of cylinders and spheres made of homogeneous materials only. Simulation and physical experiments connected with non-destructive testing by X-rays were performed, and the results are presented.