Direct integration of the inverse Radon equation for X-ray computed tomography

E. E. Libin, S. V. Chakhlov, D. Trinca

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable mathematical substantiation. Results of software implementation show that for especially for low number of projections, the described approach performs better than standard X-ray tomographic reconstruction algorithms.

Original languageEnglish
Pages (from-to)787-795
Number of pages9
JournalJournal of X-Ray Science and Technology
Issue number6
Publication statusPublished - 2016


  • Optimization
  • Radon's inversion equation
  • tomographic reconstruction
  • X-ray tomography

ASJC Scopus subject areas

  • Radiation
  • Instrumentation
  • Radiology Nuclear Medicine and imaging
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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