18 March 2008 Tomographic reconstruction of band-limited hermite expansions
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In this work, we investigate the parallel-beam projection and reconstruction of band-limited Hermite expansions. Using a recently developed coordinate conversion technique, we show how the Fourier slice theorem can be directly applied. In our new approach, we do not introduce a non-integrable filter that appears in the filtered back projection method. Since a projection of a 2D band-limited Hermite expansion is a 1D band-limited Hermite expansion and the coordinate conversion technique is lossless with this special expansion, we can avoid a series of approximations that the classical tomography techniques make.
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Wooram Park, Wooram Park, Gregory S. Chirikjian, Gregory S. Chirikjian, } "Tomographic reconstruction of band-limited hermite expansions", Proc. SPIE 6913, Medical Imaging 2008: Physics of Medical Imaging, 691330 (18 March 2008); doi: 10.1117/12.769604; https://doi.org/10.1117/12.769604

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