Applied Medical Image Processing, 2nd Edition

Chapter 10

CT Reconstruction

Michael Figl

10.1 Introduction

In this chapter we give a rather basic introduction to CT reconstruction. The first section describes the projection process of a parallel beam CT in terms of a mathematical function, the Radon Transform. We then reconstruct the density distribution out of the projections first by an iterative solution of a big system of equations (algebraic reconstruction) and by filtered backprojection.

In contrast to the rest of the book some of the algorithms in this chapter are computationally expensive. Furthermore we need a procedure to rotate images in an accurate way (using, say bilinear interpolation). The code samples here use the imrotate function of MATLAB’s image processing toolbox.1 A ...