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ITERATIVE RECONSTRUCTION ALGORITHMS 1 The implementation of iterative reconstruction algorithms in MATLAB

The mathematical problem posed by Computed Tomography (CT), which includes projecting radiation through an object resulting in an estimate of this object’s interior, is to calculate image data (the pixel values) from the projection values. Although for now the filtered back-projection algorithm is most widely used by manufacturers, efforts are being made to make iterative methods popular again due to their unique advantages, such as their performances with incomplete noisy data. The algebraic reconstruction technique (ART), the simultaneous algebraic reconstruction technique (SART) and the simultaneous iterative reconstruction technique (SIRT) are a few of those iterative methods and in this paper we discuss these techniques and how they can be implemented in MATLAB, a numerical computing environment and programming language, created by The MathWorks. We begin by creating the weight matrix. This is the matrix which holds the importance indicators per pixel. Then we move on to the actual reconstructions and we end by implementing these algorithms and calculations in a graphical user interface.