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A Framework for On-line Calibration of LINAC Devices

Abstract

General description of an on-line procedure of calibration for IGRT (image guided radiotherapy) is given. The algorithm allows to improve targeting cancer by estimating its position in space and suggesting appropriate correction of the position of the patient. The description is given in the Geometric Algebra language which significantly simplifies calculations and clarifies presentation.

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References

  1. Aragon-Camarasa, G., Aragon-Gonzalez, G., Aragon, J.L., Rodriguez-Andrade, M.A.: Clifford Algebra with Mathematica in Recent Advances on Applied Mathematics. In: Proceedings of the 20th International Conference on Applied Mathematics (AMATH’15), ISBN: 978-1-61804-354-2; arXiv:0810.2412 [math-ph]

  2. Chappell, J. M., Iqbal, A., Hartnett, J. G., Abbott, D.: The vector algebra war: a historical perspective. IEEE Access. 99, 1 (2016); https://doi.org/10.1109/ACCESS.2016.2538262; arXiv:1509.00501 [physics.hist-ph]

  3. Doran, C., Lasenby, A.: Geometric Algebra for Physicists. Cambridge University Press, Cambridge (2007)

    MATH  Google Scholar 

  4. Hestenes, D.: The Design of Linear Algebra and Geometry. Acta Applicandae Mathematicae. Kluwer Academic Publishers 23, 65–93 (1991)

    MathSciNet  Google Scholar 

  5. Hestenes, D., Ziegler, R.: Projective geometry with Clifford algebra. Acta Appl. Math. 23, 25–63 (1991)

    MathSciNet  Article  MATH  Google Scholar 

  6. Kycia, R.A., et al.: A framework for assumption-free assessment of imperfect geometry of linac C-arms, submitted; arXiv:1711.11002 [physics.med-ph]

  7. Li, X.A., Wu, Q., Orton, C.G.: Online adaptive planning for prostate cancer radiotherapy is necessary and ready now. Med. Phys. 41, 080601 (2014)

    Article  Google Scholar 

  8. Tabor, Z., et al.: A generic multi-module phantom for testing geometry of a linac c-arm as a part of quality control in radiotherapy. Med Phys. 44(10), 4989–5000 (2017). https://doi.org/10.1002/mp.12451

    Article  Google Scholar 

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Correspondence to R. A. Kycia.

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Communicated by Rafał Abłamowicz

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Kycia, R.A., Tabor, Z., Woszczyna, A. et al. A Framework for On-line Calibration of LINAC Devices. Adv. Appl. Clifford Algebras 28, 32 (2018). https://doi.org/10.1007/s00006-018-0849-8

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  • DOI: https://doi.org/10.1007/s00006-018-0849-8

Keywords

  • Image guided radiotherapy
  • Calibration
  • LINAC
  • Geometric algebra
  • Projection