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. (C) 1995 Optical Society of America