<p>In this study, an end-to-end deep learning method is proposed to improve the accuracy of continuum estimation in low-resolution gamma-ray spectra. A novel process for generating the theoretical continuum of a simulated spectrum is established, and a convolutional neural network consisting of 51 layers and more than <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1596_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(10^5\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>10</mn> <mn>5</mn> </msup> </math></EquationSource> </InlineEquation> parameters is constructed to directly predict the entire continuum from the extracted global spectrum features. For testing, an in-house NaI-type whole-body counter is used, and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1596_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(10^6\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>10</mn> <mn>6</mn> </msup> </math></EquationSource> </InlineEquation> training spectrum samples (20% of which are reserved for testing) are generated using Monte Carlo simulations. In addition, the existing fitting, step-type, and peak erosion methods are selected for comparison. The proposed method exhibits excellent performance, as evidenced by its activity error distribution and the smallest mean activity error of 1.5% among the evaluated methods. Additionally, a validation experiment is performed using a whole-body counter to analyze a human physical phantom containing four radionuclides. The largest activity error of the proposed method is <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1596_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(-5.1\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>-</mo> <mn>5.1</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>, which is considerably smaller than those of the comparative methods, confirming the test results. The multiscale feature extraction and nonlinear relation modeling in the proposed method establish a novel approach for accurate and convenient continuum estimation in a low-resolution gamma-ray spectrum. Thus, the proposed method is promising for accurate quantitative radioactivity analysis in practical applications.</p>

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Continuum estimation in low-resolution gamma-ray spectra based on deep learning

  • Ri Zhao,
  • Li-Ye Liu,
  • Xin Liu,
  • Zhao-Xing Liu,
  • Run-Cheng Liang,
  • Ren-Jing Ling-Hu,
  • Jing Zhang,
  • Fa-Guo Chen

摘要

In this study, an end-to-end deep learning method is proposed to improve the accuracy of continuum estimation in low-resolution gamma-ray spectra. A novel process for generating the theoretical continuum of a simulated spectrum is established, and a convolutional neural network consisting of 51 layers and more than \(10^5\) 10 5 parameters is constructed to directly predict the entire continuum from the extracted global spectrum features. For testing, an in-house NaI-type whole-body counter is used, and \(10^6\) 10 6 training spectrum samples (20% of which are reserved for testing) are generated using Monte Carlo simulations. In addition, the existing fitting, step-type, and peak erosion methods are selected for comparison. The proposed method exhibits excellent performance, as evidenced by its activity error distribution and the smallest mean activity error of 1.5% among the evaluated methods. Additionally, a validation experiment is performed using a whole-body counter to analyze a human physical phantom containing four radionuclides. The largest activity error of the proposed method is \(-5.1\%\) - 5.1 % , which is considerably smaller than those of the comparative methods, confirming the test results. The multiscale feature extraction and nonlinear relation modeling in the proposed method establish a novel approach for accurate and convenient continuum estimation in a low-resolution gamma-ray spectrum. Thus, the proposed method is promising for accurate quantitative radioactivity analysis in practical applications.