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Regions of Backprojection and Comet Tail Artifacts for π-Line Reconstruction Formulas in Tomography

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  • We explore two characteristic features of x-ray computed tomography inversion formulas in two and three dimensions that are dependent on π-lines. In such formulas the data from a given source position contribute only to the reconstruction of ƒ(x) for x in a certain region, called the region of backprojection. The second characteristic is a certain small artifact in the reconstruction called a comet tail artifact. We propose that the comet tail artifact is closely related to the boundary of the region of backprojection and make this relationship precise, developing a general theory of the region of backprojection, its boundary, and the location of the artifact in helical and fan-beam tomography. This theory is applied to a number of specific examples and confirmed by numerical experiments. Furthermore it is demonstrated that a strong comet tail artifact appears in numerical reconstructions from misaligned fan-beam data. A numerical method for using the artifact to find the correct alignment is suggested. Key words. computed tomography, π-lines, helical
  • Keywords: π-lines, Helical tomography, Fan-beam tomography, Computed tomography
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  • Hass, R., & Faridani, A. (2012). Regions of Backprojection and Comet Tail Artifacts for [pie]-Line Reconstruction Formulas in Tomography. SIAM Journal on Imaging Sciences, 5(4), 1159-1184. doi:10.1137/110857623
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  • 5
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  • 4
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  • This work was supported by the National Science Foundation under grant DMS- 0709495.
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