Computerized Tomography On A Logarithmic Polar Grid

P. P. B. Eggermont

doi:10.1117/12.934119

23 May 1983 Computerized Tomography On A Logarithmic Polar Grid

P. P. B. Eggermont

Proceedings Volume 0360, Robotics and Industrial Inspection; (1983) https://doi.org/10.1117/12.934119
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

We consider the problem of reconstructing a function from a finite collection of its line integrals. We discretize the function on a logarithmic polar grid. Assuming a special data collection scheme, we derive a large system of linear equations in the unknown discretized function values. This system has a very nice structure, which is used to decompose it into a number of reasonably small systems. After regularization, they can be solved using standard direct methods of numerical linear algebra. Results of experiments are shown.

Citation Download Citation

P. P. B. Eggermont "Computerized Tomography On A Logarithmic Polar Grid", Proc. SPIE 0360, Robotics and Industrial Inspection, (23 May 1983); https://doi.org/10.1117/12.934119

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