An Iterative Method for Computed Tomography Machine Calibration: Attenuation and Dual-Energy Computed Tomography Inversion from the Hounsfield Numbers

Document Type : Original Paper

Authors

1 Medical imaging research center, Shiraz university of medical sciences, Shiraz, Iran

2 Ongil, 79 D3, Sivaya Nagar, Reddiyur Alagapuram, Salem 636004. India, Retired from Indian Institute of Astrophysics, Bangalore, India

3 Department of Instrumentation and Applied Physics, Indian Institute of Science, Bangalore 560012. INDIA

4 Medical imaging Research Centre, Shiraz University of Medical Sciences, Shiraz 7193635899, Iran

5 Medical Imaging Research Center, Shiraz University of Medical Sciences, Shiraz, Iran

Abstract

Introduction: Photoelectric effect and X-ray scattering determine the attenuation coefficient of materials in diagnostic radiology. This manuscript presents an iterative gradient search method to separate the contributions to attenuation from these two independent sources. This issue assumes importance due to two reasons, including 1) Electron density determination of scanned materials and 2) correct dose calculation in diagnostic radiology.
Material and Methods: A special water-filled phantom which was custom-built for simultaneous scanning of 12 samples was used in the current study. Attenuation coefficient equations were iteratively solved to calculate the contributions from x-ray scattering and photoelectric effects.
Results: Data converged after five iterations (within 1%). Error in the attenuation coefficient was measured at ±3%.
Conclusion: As evidenced by the obtained results, this method can be used to determine the Compton and photoelectric contributions with sufficient accuracy. Moreover, the inversion of Dual- Energy computed tomography (DECT) data for finding electron density and effective atomic number of materials also presents satisfactory results.

Keywords

Main Subjects


  1. Yoon YE, KooNon BK. Non-invasive functional assessment using computed tomography: when will they be ready for clinical use?. Cardiovasc Diagn Ther. 2012; 2:106-12.
  2. Mollet NR, Cademartiri F, van Mieghem CAG, Runza G, McFadden EP, Baks T, et al. High-Resolution Spiral Computed Tomography Coronary Angiography in Patients Referred for Diagnostic Conventional Coronary Angiography. Circulation. 2005; 112:2318-23.
  3. Watanabe Y. Derivation of linear attenuation coefficients from CT numbers for low-energy photons. Phys. Med. Biol. 1999;44:2201-11.
  4. Herth FJF, Kirby M, Sieren J, Herth J, Schirm J, Wood S, et al. The Modern Art of Reading Computed Tomography Images of the Lungs: Quantitative CT. Respiration. 2018; 95:8–17.
  5. Emohare O, Cagan A, Morgan R, Davis R, Asis M, Switzer J, et al. The Use of Computed Tomography Attenuation to Evaluate Osteoporosis Following Acute Fractures of the thoracic and lumbar vertebra. Geriatric Orthopaedic Surgery & Rehabilitation. 2014;5:50-5.
  6. Forghani R, Man BD, Gupta R. Dual-Energy Computed Tomog raphy Physical Principles, Approaches to Scanning, Usage, and Implementation: Part 1. Neuroimag Clin N Am. 2017;27:371-84.
  7. Mandal SR, Bharati A, Haghighi RR, Arava S, Ray R, Jagia P, et al. Non-invasive characterization of coronary artery atherosclerotic plaque using dual energy CT: Explanation in ex-vivo samples. Physica Medica. 2018;45:52-8.
  8. Haghighi RR, Chatterjee S, Tabin M, Sharma S, Jagia P, Ray R, et al. Med. Phys. 2015;42:5945-54.
  9. Huizenga H, Storchi PRM, The Use of Computed Tomography Numbers in Dose Calculations for Radiation Therapy. Acta Radiologica Oncology. 1985;24:509-19.
  10. Haghighi RR, Chatterjee S, Sefidbakht S, Jalli R, Vani VC. Design and construction of an affordable phantom for electron density measurement and linearity test of CT system. Iran J Med Phys. 2020; 17:38-47.
  11. Haghighi RR, Chatterjee S, Vani VC, Jalli R, Sefidbakht S,  Shakibafard AR. International Conference on Radiation Protection in Medicine: Achieving Change in Practice. 11-15 December ; Austria, Vienna. 2017.
  12. Haghighi RR, Chatterjee S, Vyas A, Kumar P, Thulkar S. X-ray attenuation coefficient of mixtures: Inputs for dual-energy CT. Med Phys. 2011;38:5270-9.
  13. Gomilsek JP, Kodre A, Arcon I, Preseren R. K-edge x-ray-absorption spectrum of potassium. Physical Review A. 2001; 64;022508.
  14. Hubbell JH, Seltzer SM. Table of x-ray mass attenuation coefficients from 1 keV to 20 MeV for elements Z ¼ 1–92 and 48 additional substances of dosimetric interest. 2004. available from: http://physics.nist.gov/PhysRefData/XrayMassCoef/cover.html.
  15. Kenney JF, Keeping ES. Mathematics of Statistics. Vol II, D.Van Norstand, Princeton. 1965.
  16. Ghadiri H, Shiran MB, Soltanian-Zadeh H, Rahmim A, Zaidi H, Ay MR. Derivation of attenuation map for attenuation correction of PET data in the presence of nanoparticulate contrast agents using spectral CT imaging. Ann Nucl Med. 2014; 28:559–70.

 

 

Volume 18, Issue 1
January and February 2021
Pages 70-77
  • Receive Date: 13 September 2019
  • Revise Date: 29 January 2020
  • Accept Date: 03 February 2020