23 May 1983 Computerized Tomography On A Logarithmic Polar Grid
Author Affiliations +
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.
© (1983) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
P. P. B. Eggermont, P. P. B. Eggermont, "Computerized Tomography On A Logarithmic Polar Grid", Proc. SPIE 0360, Robotics and Industrial Inspection, (23 May 1983); doi: 10.1117/12.934119; https://doi.org/10.1117/12.934119

Back to Top