Arc based cone-beam reconstruction algorithm using an equal weighting scheme

Brian E. Nett, Ting Liang Zhuang, Shuai Leng, Guang Hong Chen

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Conventionally, the FDK algorithm is used to reconstruct images in many imaging systems where cone-beam projections are acquired from a single circular scanning path in a 2π angular range (full scan mode) and has been heuristically extended to a π+fan angle angular range (short-scan mode). In this paper, a new cone-beam reconstruction algorithm is derived for a single arc source trajectory with an equal weighting scheme. This algorithm is derived in the Katsevich framework. Since the single arc does not satisfy Tuy's data sufficiency condition, the resulting algorithm is an approximate reconstruction algorithm. The feature of one-dimensional (1D) shift-invariant filtering in the conventional FDK algorithm is nicely preserved. The new algorithm includes a voxel dependent backprojection step of weighted combinations of 1D Hilbert filtered data, after an initial differentiation operation. In comparing the new algorithm with the standard FDK: the new algorithm intrinsically handles full scan, short scan and super-short scan modes. Numerical simulations have been performed to validate the algorithm, and demonstrate more quantitatively correct density values when reconstructing points away from the central slice. Noise performance was assessed for both the new algorithm and the FDK algorithm using simulated Poisson noise.

Original languageEnglish (US)
Pages (from-to)19-48
Number of pages30
JournalJournal of X-Ray Science and Technology
Volume15
Issue number1
StatePublished - 2007
Externally publishedYes

Fingerprint

Cones
cones
arcs
Noise
fans
Imaging systems
Fans
projection
Trajectories
trajectories
Scanning
scanning
shift
Computer simulation

Keywords

  • Approximate
  • Circular trajectory
  • Cone-beam
  • FDK
  • Reconstruction
  • Shift-invariance

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging

Cite this

Arc based cone-beam reconstruction algorithm using an equal weighting scheme. / Nett, Brian E.; Zhuang, Ting Liang; Leng, Shuai; Chen, Guang Hong.

In: Journal of X-Ray Science and Technology, Vol. 15, No. 1, 2007, p. 19-48.

Research output: Contribution to journalArticle

Nett, Brian E. ; Zhuang, Ting Liang ; Leng, Shuai ; Chen, Guang Hong. / Arc based cone-beam reconstruction algorithm using an equal weighting scheme. In: Journal of X-Ray Science and Technology. 2007 ; Vol. 15, No. 1. pp. 19-48.
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