Quantitative Analysis Methodology of X-Ray Attenuation for Medical Diagnostic Imaging: Algorithm to Derive Effective Atomic Number, Soft Tissue and Bone Images

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Photon Counting Computed Tomography

Abstract

Energy-resolving photon-counting detector (ERPCD) has been expected to play an important role in drastically improving X-ray image generation in medical and industrial fields. The biggest advantage of ERPCD is to analyze X-ray energy information, and it has the potential to produce various quantitative images based on the energy-dependent analysis of X-ray attenuation in an object. In order to realize accurate energy-dependent analyses, we have to solve the issues of beam hardening effect and detector response caused by the restrictions of applying polychromatic X-rays and multi-pixel-type detectors which cannot absorb X-ray energies completely. In this chapter, we clarified these effects and introduced a novel method to correct these effects. This correction can realize ideal analysis in which polychromatic X-rays measured with an ERPCD can be treated as those equivalent to monochromatic X-rays. As an application demonstrating the effectiveness of this analysis, we succeeded in the derivation of effective atomic number images and mass thickness images related to soft tissue and bone. These findings presented in this chapter are based on the physics of X-ray attenuation, and we hope to contribute these findings as the basis for all imaging techniques using ERPCD.

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References

  1. Pisano ED, et al. Image processing algorithms for digital mammography: a pictorial essay. Radiographics. 2000;20(5):1479–91. https://doi.org/10.1148/radiographics.20.5.g00se311479.

    Article  Google Scholar 

  2. Prokop M, et al. Principles of image processing in digital chest radiography. J Thorac Imaging. 2003;18(3):148–64.

    Article  Google Scholar 

  3. Kermany DS, et al. Identifying medical diagnoses and treatable diseases by image-based deep learning. Cell. 2018;172(5):1122–31. https://doi.org/10.1016/j.cell.2018.02.010.

    Article  Google Scholar 

  4. Leng S, et al. Photon-counting detector CT: system design and clinical applications of an emerging technology. Radiographics. 2019;39(3):729–43. https://doi.org/10.1148/rg.2019180115.

    Article  Google Scholar 

  5. Taguchi K, Iwanczyk JS. Vision 20/20: single photon counting x-ray detectors in medical imaging. Med Phys. 2013;40(10):100901. https://doi.org/10.1118/1.4820371.

    Article  Google Scholar 

  6. Willemink MJ, et al. Photon-counting CT: technical principles and clinical prospects. Radiology. 2018;289(2):293–312. https://doi.org/10.1148/radiol.2018172656.

    Article  Google Scholar 

  7. Asakawa T, et al. Importance of considering the response function of photon counting detectors with the goal of precise material identification. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE; 2019. p. 1–7. https://doi.org/10.1109/NSS/MIC42101.2019.9059844.

    Chapter  Google Scholar 

  8. Hayashi H, et al. A fundamental experiment for novel material identification method based on a photon counting technique: using conventional X-ray equipment. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE; 2015. p. 1–4. https://doi.org/10.1109/NSSMIC.2015.7582027.

    Chapter  Google Scholar 

  9. Hayashi H, et al. Response functions of multi-pixel-type CdTe detector: toward development of precise material identification on diagnostic X-ray images by means of photon counting. In: Medical imaging 2017: physics of medical imaging. SPIE; 2017. p. 1–18. https://doi.org/10.1117/12.2251185.

    Chapter  Google Scholar 

  10. Kimoto N, et al. Precise material identification method based on a photon counting technique with correction of the beam hardening effect in X-ray spectra. Appl Radiat Isot. 2017;124:16–26. https://doi.org/10.1016/j.apradiso.2017.01.049.

    Article  Google Scholar 

  11. Kimoto N, et al. Development of a novel method based on a photon counting technique with the aim of precise material identification in clinical X-ray diagnosis. In: Medical imaging 2017: physics of medical imaging. SPIE; 2017. p. 1–11. https://doi.org/10.1117/12.2253564.

    Chapter  Google Scholar 

  12. Kimoto N, et al. Novel material identification method using three energy bins of a photon counting detector taking into consideration Z-dependent beam hardening effect correction with the aim of producing an X-ray image with information of effective atomic number. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE; 2017. p. 1–4. https://doi.org/10.1109/NSSMIC.2017.8533059.

    Chapter  Google Scholar 

  13. Kimoto N, et al. Reproduction of response functions of a multi-pixel-type energy-resolved photon counting detector while taking into consideration interaction of X-rays, charge sharing and energy resolution. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE; 2018. p. 1–4. https://doi.org/10.1109/NSSMIC.2018.8824417.

    Chapter  Google Scholar 

  14. Kimoto N, et al. Feasibility study of photon counting detector for producing effective atomic number image. In: IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE; 2019. p. 1–4. https://doi.org/10.1109/NSS/MIC42101.2019.9059919.

    Chapter  Google Scholar 

  15. Kimoto N, et al. Effective atomic number image determination with an energy-resolving photon-counting detector using polychromatic X-ray attenuation by correcting for the beam hardening effect and detector response. Appl Radiat Isot. 2021;170:109617. https://doi.org/10.1016/j.apradiso.2021.109617.

    Article  Google Scholar 

  16. Kimoto N, et al. A novel algorithm for extracting soft-tissue and bone images measured using a photon-counting type X-ray imaging detector with the help of effective atomic number analysis. Appl Radiat Isot. 2021;176:109822. https://doi.org/10.1016/j.apradiso.2021.109822.

    Article  Google Scholar 

  17. Reza S, et al. Semiconductor radiation detectors: technology and applications. New York: CRC Press; 2017. p. 85–108.

    Google Scholar 

  18. Hayashi H, et al. Advances in medicine and biology. New York: Nova Science Publishers, Inc.; 2019. p. 1–46.

    Google Scholar 

  19. Hayashi H, et al. Photon counting detectors for X-ray imaging: physics and applications. Cham: Springer; 2021. p. 1–119. https://doi.org/10.1007/978-3-030-62680-8.

    Book  Google Scholar 

  20. Samei E, Flynn JM. An experimental comparison of detector performance for direct and indirect digital radiography systems. Med Phys. 2003;30(4):608–22. https://doi.org/10.1118/1.1561285.

    Article  Google Scholar 

  21. Spekowius G, Wendler T. Advances in healthcare technology: sha** the future of medical care. Dordrecht: Springer; 2006. p. 49–64.

    Book  Google Scholar 

  22. Knoll GF. Radiation detection and measurement. New York: Wiley; 2000. p. 1–802.

    Google Scholar 

  23. Heismann BJ, et al. Density and atomic number measurements with spectral x-ray attenuation method. J Appl Phys. 2003;94(3):2073–9. https://doi.org/10.1063/1.1586963.

    Article  Google Scholar 

  24. Hubbell JH. Photon mass attenuation and energy-absorption coefficients. Int J Appl Radiat Isot. 1982;33(11):1269–90. https://doi.org/10.1016/0020-708X(82)90248-4.

    Article  Google Scholar 

  25. Brooks RA, Di Chiro G. Beam hardening in x-ray reconstructive tomography. Phys Med Biol. 1976;21(3):390–8. https://doi.org/10.1088/0031-9155/21/3/004.

    Article  Google Scholar 

  26. Good MM, et al. Accuracies of the synthesized monochromatic CT numbers and effective atomic numbers obtained with a rapid kVp switching dual energy CT scanner. Med Phys. 2011;38(4):2222–32. https://doi.org/10.1118/1.3567509.

    Article  Google Scholar 

  27. Johnson TRC. Dual-energy CT: general principles. Am J Roentgenol. 2012;199(5):S3–8. https://doi.org/10.2214/AJR.12.9116.

    Article  Google Scholar 

  28. Tatsugami F, et al. Measurement of electron density and effective atomic number by dual-energy scan using a 320-detector computed tomography scanner with raw data-based analysis: a phantom study. J Comput Assist Tomogr. 2014;38(6):824–7. https://doi.org/10.1097/RCT.0000000000000129.

    Article  Google Scholar 

  29. Wang X, et al. Material separation in x-ray CT with energy resolved photon-counting detectors. Med Phys. 2011;38(3):1534–46. https://doi.org/10.1118/1.3553401.

    Article  Google Scholar 

  30. Spiers FW. Effective atomic number and energy absorption in tissues. Br J Radiol. 1946;19(218):52–63. https://doi.org/10.1259/0007-1285-19-218-52.

    Article  Google Scholar 

  31. Birch R, Marshall M. Computation of bremsstrahlung X-ray spectra and comparison with spectra measured with a Ge(Li) detector. Phys Med Biol. 1979;24(3):505–17. https://doi.org/10.1088/0031-9155/24/3/002.

    Article  Google Scholar 

  32. Hsieh SS, et al. Spectral resolution and high-flux capability tradeoffs in CdTe detectors for clinical CT. Med Phys. 2018;45(4):1433–43. https://doi.org/10.1002/mp.12799.

    Article  Google Scholar 

  33. Otfinowski P. Spatial resolution and detection efficiency of algorithms for charge sharing compensation in single photon counting hybrid pixel detectors. Nucl Instrum Methods Phys Res A. 2018;882:91–5. https://doi.org/10.1016/j.nima.2017.10.092.

    Article  Google Scholar 

  34. Taguchi K, et al. Spatio-energetic cross-talk in photon counting detectors: numerical detector model (PcTK) and workflow for CT image quality assessment. Med Phys. 2018;45(5):1985–98. https://doi.org/10.1002/mp.12863.

    Article  Google Scholar 

  35. Trueb P, et al. Assessment of the spectral performance of hybrid photon counting x-ray detectors. Med Phys. 2017;44(9):e207–14. https://doi.org/10.1002/mp.12323.

    Article  Google Scholar 

  36. Zambon P, et al. Spectral response characterization of CdTe sensors of different pixel size with the IBEX ASIC. Nucl Instrum Methods Phys Res A. 2018;892:106–13. https://doi.org/10.1016/j.nima.2018.03.006.

    Article  Google Scholar 

  37. Hirayama H, et al. The EGS5 code system. KEK Report. 2005-8 SLAC-R-730. 2005. p. 1–418.

    Google Scholar 

  38. Sasaki M, et al. A novel mammographic fusion imaging technique: the first results of tumor tissues detection from resected breast tissues using energy-resolved photon counting detector. Proc SPIE. 2019;10948:1094864. https://doi.org/10.1117/12.2512271.

    Article  Google Scholar 

  39. Kuhlman JE, et al. Dual-energy subtraction chest radiography: what to look for beyond calcified nodules. Radiographics. 2006;26(1):79–92. https://doi.org/10.1148/rg.261055034.

    Article  Google Scholar 

  40. MacMahon H, et al. Dual energy subtraction and temporal subtraction chest radiography. J Thorac Imaging. 2008;23(2):77–85. https://doi.org/10.1097/RTI.0b013e318173dd38.

    Article  Google Scholar 

  41. McAdams HP, et al. Recent advances in chest radiography. Radiology. 2006;241(3):663–83. https://doi.org/10.1148/radiol.2413051535.

    Article  Google Scholar 

  42. Kappadath SC, Shaw CC. Quantitative evaluation of dual-energy digital mammography for calcification imaging. Phys Med Biol. 2004;49(12):2563–76. https://doi.org/10.1088/0031-9155/49/12/007.

    Article  Google Scholar 

  43. Blake MG, Fogelman I. Technical principles of dual energy X-ray absorptiometry. Semin Nucl Med. 1997;27(3):210–28. https://doi.org/10.1016/S0001-2998(97)80025-6.

    Article  Google Scholar 

  44. Cullum DI, et al. X-ray dual-photon absorptiometry: a new method for the measurement of bone density. Br J Radiol. 1989;62(739):587–92. https://doi.org/10.1259/0007-1285-62-739-587.

    Article  Google Scholar 

  45. Theodorou JD, et al. Dual-energy X-ray absorptiometry in diagnosis of osteoporosis: basic principles, indications, and scan interpretation. Compr Ther. 2002;28(3):190–200. https://doi.org/10.1007/s12019-002-0028-6.

    Article  Google Scholar 

  46. Angelopoulos C, et al. Digital panoramic radiography: an overview. Semin Orthod. 2004;10(3):194–203. https://doi.org/10.1053/j.sodo.2004.05.003.

    Article  Google Scholar 

  47. Izzetti R, et al. Basic knowledge and new advances in panoramic radiography imaging techniques: a narrative review on what dentists and radiologists should know. Appl Sci. 2021;11(17):7858. https://doi.org/10.3390/app11177858.

    Article  Google Scholar 

  48. Horner K, Devlin H. Clinical bone densitometric study of mandibular atrophy using dental panoramic tomography. J Dent. 1992;20(1):33–7. https://doi.org/10.1016/0300-5712(92)90007-y.

    Article  Google Scholar 

  49. Langlais R, et al. The cadmium telluride photon counting sensor in panoramic radiology: gray value separation and its potential application for bone density evaluation. Oral Surg Oral Med Oral Pathol Oral Radiol. 2015;120(5):636–43. https://doi.org/10.1016/j.oooo.2015.07.002.

    Article  Google Scholar 

  50. Nackaerts O, et al. Bone density measurements in intra-oral radiographs. Clin Oral Investig. 2007;11(3):225–9. https://doi.org/10.1007/s00784-007-0107-2.

    Article  Google Scholar 

  51. Hayashi Y, et al. Assessment of bone mass by image analysis of metacarpal bone roentgenograms: a quantitative digital image processing (DIP) method. Radiat Med. 1990;8(5):173–8.

    Google Scholar 

  52. Matsumoto C, et al. Metacarpal bone mass in normal and osteoporotic Japanese women using computed X-ray densitometry. Calcif Tissue Int. 1994;55(5):324–9. https://doi.org/10.1007/BF00299308.

    Article  Google Scholar 

  53. Saito M, Sagara S. A simple formulation for deriving effective atomic numbers via electron density calibration from dual-energy CT data in the human body. Med Phys. 2017;44(6):2293–303. https://doi.org/10.1002/mp.12176.

    Article  Google Scholar 

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Acknowledgments

The description in this chapter was partially supported by collaborative research between Kanazawa University and JOB CORPORATION (https://www.job-image.com/), Japan. The authors wish to express gratitude to members of JOB CORPORATION, Dr. Shuichiro Yamamoto, Mr. Masahiro Okada, Mr. Fumio Tsuchiya, Mr. Daisuke Hashimoto, Mr. Yasuhiro Kuramoto, and Mr. Masashi Yamasaki for their valuable contributions. We wish to thank Mr. Takumi Asakawa, GE Healthcare Japan for his important research results when he belonged to graduate school in Kanazawa University, Japan. We would like to thank Dr. Yuki Kanazawa, Tokushima University, Japan, for discussing the feasibility of our research from a clinical point of view. We would also like to thank Dr. Yoshie Kodera and Dr. Shuji Koyama, Nagoya University, Japan, for discussing the clinical application of a photon-counting detector.

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Kimoto, N. et al. (2023). Quantitative Analysis Methodology of X-Ray Attenuation for Medical Diagnostic Imaging: Algorithm to Derive Effective Atomic Number, Soft Tissue and Bone Images. In: Hsieh, S., Iniewski, K.(. (eds) Photon Counting Computed Tomography. Springer, Cham. https://doi.org/10.1007/978-3-031-26062-9_11

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  • DOI: https://doi.org/10.1007/978-3-031-26062-9_11

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