FOURIER-BESSEL HARMONIC EXPANSIONS FOR TOMOGRAPHY OF PARTIALLY OPAQUEOBJECTS

Tomographic reconstruction from a limited amount of projection data of fields with embedded opaque objects can result in streaks and other a rtifacts in the reconstructed image. These artifacts result from the u se of local-basis-function expansions to represent the image. I demons trate that reconstructions by circular-harmonic expansions are largely free of these artifacts. A Fourier-Bessel expansion on a circular dom ain is used as the reconstruction basis; this expansion is used to com pare circular-harmonic reconstructions with square-pixel reconstructio ns to determine qualitative differences between the local bases and th e circular harmonics. Computational issues are also discussed. (C) 199 5 Optical Society of America