Image reconstruction by OPED algorithm with averaging |
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Authors: | Yuan Xu Oleg Tischenko Christoph Hoeschen |
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Institution: | (1) Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, USA;(2) GSF – National Research Center for Environment and Health, Institute of Radiation Protection, D-85764 Neuherberg, Germany |
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Abstract: | OPED is a new image reconstruction algorithm based on orthogonal polynomial expansion on the disk. We show that the integral
of the approximation function in OPED can be given explicitly and evaluated efficiently. As a consequence, the reconstructed
image over a pixel can be effectively represented by its average over the pixel, instead of by its value at a single point
in the pixel, which can help to reduce the aliasing caused by under sampling. Numerical examples are presented to show that
the averaging process indeed improves the quality of the reconstructed images.
The work of the first author is supported in part by the National Science Foundation under Grant DMS-0604056. |
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Keywords: | Reconstruction of images Radon projections OPED algorithtm Averaging |
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