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Seminarium i matematik

An Introduction to ART with X-ray Tomography

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X-ray tomography is used to recover a function from its line integrals and is directly related to medical imaging.  An alternative to popular filtered-backprojection methods, the Algebraic Reconstruction Technique (ART) provides a robust, iterative reconstruction algorithm that is based on Kaczmarz’s method for solving linear systems.  We will begin by reviewing the X-ray transform, describing a few scanning geometries used in Computed Tomography, and then have a small diversion on computing the X-ray transform of the unit square in \mathbf{R}^2. 

 

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