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Fast dose kernel interpolation using Fourier transform with application to permanent prostate brachytherapy

Derek Liu1, Ron S Sloboda1

  • 1Department of Medical Physics, Cross Cancer Institute, Edmonton, Alberta T6G 1Z2, Canada and Department of Oncology, University of Alberta, Edmonton, Alberta T6G 2R3, Canada.

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A new interpolation method enhances Fourier transform (FT) calculations for permanent prostate brachytherapy, allowing unrestricted seed placement. This improves dose accuracy to within 2% beyond 3 mm without increasing computation time.

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Area of Science:

  • Medical Physics
  • Radiotherapy
  • Computational Biology

Background:

  • Traditional Fourier transform (FT) methods for brachytherapy dose calculation restrict seed placement to grid points, limiting accuracy.
  • Boyer and Mok's FT method offers computational efficiency but requires seeds to be placed on calculation grid points.

Purpose of the Study:

  • To develop an interpolation method for FT-based dose calculation that enables unrestricted seed placement.
  • To maintain the computational efficiency of Boyer's original FT method while improving dose calculation accuracy.

Main Methods:

  • Iodine-125 seed dose kernels were sampled and optimized for interpolation accuracy.
  • The Fourier domain was used to implement seed kernel shifting via convolution with a unit impulse.
  • A piecewise third-order Lagrange filter was applied for fractional shifts.

Main Results:

  • The interpolation method significantly improved the accuracy of FT-based dose calculations.
  • Dose distribution accuracy was within 2% beyond 3 mm from each seed.
  • Isodose contours and dose-volume metric errors were comparable to explicit TG-43 calculations, with negligible computational overhead.

Conclusions:

  • A novel FT interpolation method for permanent prostate brachytherapy dose calculation was developed.
  • This method allows for unrestricted seed placement, enhancing clinical relevance and accuracy.
  • The technique preserves computational efficiency while substantially improving dose accuracy.