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Image reconstruction by OPED algorithm with averaging

✍ Scribed by Yuan Xu; Oleg Tischenko; Christoph Hoeschen

Publisher
Springer US
Year
2007
Tongue
English
Weight
439 KB
Volume
45
Category
Article
ISSN
1017-1398

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✦ Synopsis

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.

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