Tomographic Reconstruction using Cesaro-Means and Newman-Shapiro Operators
JUSTUS-LIEBIG-UNIV GIESSEN (GERMANY) MATHEMATICS INST
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Tomography is well known because of its many applications. Although theoretically solved, the numerical implementation of tomographic reconstruction algorithms is still a difficult problem. In this article the numerical implementation of a reconstruction method using Cesaro-means and Newman-Shapiro operators is described. The key point herein is the use of suitable quadrature formulae on the sphere. It turns out that in the context described product Gaussian formulae are best suited. The algorithm is tested at the so called Shepp-Logan phantom which is a three dimensional model of a human head.
- Numerical Mathematics
- Theoretical Mathematics