Fourier-Bessel harmonic expansions for tomography of partially opaque objects.
Tomographic reconstruction from a limited amount of projection data of fields with embedded opaque objects can result in streaks and other artifacts in the reconstructed image. These artifacts result from the use of local-basis-function expansions to represent the image. I demonstrate that reconstructions by circular-harmonic expansions are largely free of these artifacts. A Fourier-Bessel expansion on a circular domain is used as the reconstruction basis; this expansion is used to compare circular-harmonic reconstructions with square-pixel reconstructions to determine qualitative differences between the local bases and the circular harmonics. Computational issues are also discussed.
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