Analytic calculation of CT phantom projections and its application in beam hardening correction

Shaojie Tang, Xuanqin Mou, Hao Yan, Ying Yang

Research output: Contribution to journalArticlepeer-review


To develop an efficient beam hardening correction for medical diagnostic X-ray CT (computed tomography), an analytic calculation method was proposed to simulate polychromatic X-ray projections. The method combines the energy spectrum distribution of X-ray source, geometrical shapes and material compositions of sub-regions of phantoms. Firstly, CT values are mapped into material compositions under the precondition that only human being tissues are considered. And then, boundaries of sub-regions are determined by the proposed analytic method. Finally, projections are calculated according to the energy spectrum distribution of X-ray source. Compared with the linear integral projecting, the proposed method can not only generate more realistic projections, but also provide a unified projection data for beam hardening correction and CT reconstruction. Experiments of FORBILD head phantom show that the CT-value inconsistency error of bone correction in bone region is lower than the water correction around 4-5Hu, but higher than the monochromatic reconstruction around 5-6Hu.

Original languageEnglish (US)
Pages (from-to)664-668
Number of pages5
JournalHsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University
Issue number6
StatePublished - Jun 1 2008


  • Analytic calculation
  • Beam hardening
  • Energy spectrum distribution
  • X-ray

ASJC Scopus subject areas

  • Engineering(all)


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