Criteria for selecting the Paganin‐filter reconstruction parameter in X‐ray phase‐contrast tomography.

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Title: Criteria for selecting the Paganin‐filter reconstruction parameter in X‐ray phase‐contrast tomography.
Authors: Miqueles, Eduardo X.1 (AUTHOR) eduardo.miqueles@lnls.br, de Oliveira, Everton L.1 (AUTHOR), Carvalho, Murilo1 (AUTHOR), Paganin, David M.2 (AUTHOR)
Source: Journal of Synchrotron Radiation. May2026, Vol. 33 Issue 3, p746-758. 13p.
Subjects: Parameter estimation, Image reconstruction, Image processing, Signal processing, Computed tomography, Synchrotron radiation
Abstract: The Paganin filter, widely employed in propagation‐based phase‐contrast X‐ray computed tomography with synchrotron light, attenuates phase effects and suppresses high‐frequency noise under the assumption that samples have a constant β/δ ratio (these constants define the material's complex refractive index n = 1 − δ + iβ). While effective in many scenarios, real samples often violate this strong assumption, and the choice of the filter's free reconstruction parameter is typically made empirically, potentially leading to suboptimal image quality. This work introduces a quantitative, noise‐aware criterion for determining a near‐optimal filter parameter, thereby removing the need for subjective tuning. We propose two methods for this task. The first method is based on analysis of the noise power spectrum in radial frequency bands, adopting the same partitioning framework as Fourier ring correlation (FRC). By monitoring high‐frequency behavior, the proposed approach identifies the trade‐off point where resolution enhancement is balanced against noise amplification. This criterion enforces a theoretical lower bound on the FRC computed between two independently split Paganin‐filtered projections, where each projection corresponds to a single recorded detector frame, while ensuring effective suppression of high‐frequency noise. The second method analyzes the variation of the reconstructed images as a function of the Paganin‐filter parameter, identifying the inflection point that represents the balance between noise suppression and image smoothing. Both methods result in an automated parameter selection approach for phase‐contrast tomography data analysis that employs the Paganin filter. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Criteria for selecting the Paganin‐filter reconstruction parameter in X‐ray phase‐contrast tomography.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Synchrotron+Radiation%22">Journal of Synchrotron Radiation</searchLink>. May2026, Vol. 33 Issue 3, p746-758. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Image+reconstruction%22">Image reconstruction</searchLink><br /><searchLink fieldCode="DE" term="%22Image+processing%22">Image processing</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Computed+tomography%22">Computed tomography</searchLink><br /><searchLink fieldCode="DE" term="%22Synchrotron+radiation%22">Synchrotron radiation</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The Paganin filter, widely employed in propagation‐based phase‐contrast X‐ray computed tomography with synchrotron light, attenuates phase effects and suppresses high‐frequency noise under the assumption that samples have a constant β/δ ratio (these constants define the material's complex refractive index n = 1 − δ + iβ). While effective in many scenarios, real samples often violate this strong assumption, and the choice of the filter's free reconstruction parameter is typically made empirically, potentially leading to suboptimal image quality. This work introduces a quantitative, noise‐aware criterion for determining a near‐optimal filter parameter, thereby removing the need for subjective tuning. We propose two methods for this task. The first method is based on analysis of the noise power spectrum in radial frequency bands, adopting the same partitioning framework as Fourier ring correlation (FRC). By monitoring high‐frequency behavior, the proposed approach identifies the trade‐off point where resolution enhancement is balanced against noise amplification. This criterion enforces a theoretical lower bound on the FRC computed between two independently split Paganin‐filtered projections, where each projection corresponds to a single recorded detector frame, while ensuring effective suppression of high‐frequency noise. The second method analyzes the variation of the reconstructed images as a function of the Paganin‐filter parameter, identifying the inflection point that represents the balance between noise suppression and image smoothing. Both methods result in an automated parameter selection approach for phase‐contrast tomography data analysis that employs the Paganin filter. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1107/S1600577526001694
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 746
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      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Image reconstruction
        Type: general
      – SubjectFull: Image processing
        Type: general
      – SubjectFull: Signal processing
        Type: general
      – SubjectFull: Computed tomography
        Type: general
      – SubjectFull: Synchrotron radiation
        Type: general
    Titles:
      – TitleFull: Criteria for selecting the Paganin‐filter reconstruction parameter in X‐ray phase‐contrast tomography.
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            NameFull: Miqueles, Eduardo X.
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            NameFull: de Oliveira, Everton L.
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            NameFull: Carvalho, Murilo
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            NameFull: Paganin, David M.
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          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 33
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            – TitleFull: Journal of Synchrotron Radiation
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