Nurgül Gökgöz, Serdar Tanil and Ahmet Onur
Institute of Applied Mathematics, METU
Iterative Methods for Discrete Tomography Implementation & Comparison Kaczmarz’s Method and Conjugate Gradient Least Squares Method
In this study, the main objective is to reconstruct an image from its projections using some means of tomography. To do this Kaczmarz method and conjugate gradient least squares method were used. In order to illustrate the two methods, a software was written in java language. This software gets an image file as an input and creates projections of it from different directions. Then it tries to reconstruct the image using Kaczmarz and conjugate gradient least squares methods. The result shows that as the number of projection increases the accuracy of reconstruction increases. Also in a brain image, Kaczmarz gives better results than conjugate gradient least squares with the same number of projections.