Extraction of pencil beam kernels by the deconvolution method Journal Article


Authors: Chui, C. S.; Mohan, R.
Article Title: Extraction of pencil beam kernels by the deconvolution method
Abstract: A method has been developed to extract pencil beam kernels from measured broad beam profiles. In theory, the convolution of a symmetric kernel with a step function will yield a function that is symmetric about the inflection point. Conversely, by deconvolution, the kernel may be extracted from a measured distribution. In practice, however, due to the uncertainties and errors associated with the measurements and due to the singularities produced in the fast Fourier transforms employed in the deconvolution process, the kernels thus obtained and the dose distributions calculated therefrom, often exhibit erratic fluctuations. We propose a method that transforms measured profiles to new, modified distributions so that they satisfy the theoretical symmetry condition. The resultant kernel from the deconvolution is then free of fluctuations. We applied this method to compute photon and electron dose distributions at various depths in water and electron fluence distributions in air. The agreement between measured and computed profiles is within 1% in dose or 1 mm in distance in high dose gradient regions. © 1986, American Institute of Physics for the National Institute of Standards and Technology. All rights reserved.
Keywords: methodology; radiation; radiotherapy dosage; radiotherapy; models, theoretical; dosimetry; water; theoretical study; phantoms; mathematics; fourier analysis; fourier transformation; human; priority journal; convolution; phaseolus (angiosperm); beam profiles; x-ray dosimetry; electron dosimetry; radiation dose distributions
Journal Title: Medical Physics
Volume: 15
Issue: 2
ISSN: 0094-2405
Publisher: American Association of Physicists in Medicine  
Date Published: 1988-03-01
Start Page: 138
End Page: 144
Language: English
DOI: 10.1118/1.596267
PUBMED: 3386581
PROVIDER: scopus
DOI/URL:
Notes: Article -- Export Date: 6 August 2020 -- Source: Scopus
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  1. Chen Chui
    144 Chui
  2. Radhe   Mohan
    97 Mohan