PMID: 15248575Jul 14, 2004Paper

Cone-beam and fan-beam image reconstruction algorithms based on spherical and circular harmonics

Physics in Medicine and Biology
Gengsheng L Zeng, G T Gullberg

Abstract

A cone-beam image reconstruction algorithm using spherical harmonic expansions is proposed. The reconstruction algorithm is in the form of a summation of inner products of two discrete arrays of spherical harmonic expansion coefficients at each cone-beam point of acquisition. This form is different from the common filtered backprojection algorithm and the direct Fourier reconstruction algorithm. There is no re-sampling of the data, and spherical harmonic expansions are used instead of Fourier expansions. As a special case, a new fan-beam image reconstruction algorithm is also derived in terms of a circular harmonic expansion. Computer simulation results for both cone-beam and fan-beam algorithms are presented for circular planar orbit acquisitions. The algorithms give accurate reconstructions; however, the implementation of the cone-beam reconstruction algorithm is computationally intensive. A relatively efficient algorithm is proposed for reconstructing the central slice of the image when a circular scanning orbit is used.

References

Jun 23, 2001·Physics in Medicine and Biology·K TaguchiG T Gullberg
Mar 1, 1994·Physics in Medicine and Biology·C Axelsson, P E Danielsson

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Citations

Nov 4, 2005·Medical Physics·Alexander L C KwanNikula Shah
Feb 7, 2007·Medical Physics·Alexander L C KwanShih-Ying Huang

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