Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution
The properties of fiber reinforced polymers are strongly related to the length and orientation of the fibers within the polymer matrix, the latter of which can be studied using X-ray computed tomography (XCT). Unfortunately, resolving individual fibers is challenging because they are small compared...
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| Format: | Article |
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MDPI AG
2023-06-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/15/13/2887 |
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| author | Ben Huyge Jonathan Sanctorum Ben Jeurissen Jan De Beenhouwer Jan Sijbers |
| author_facet | Ben Huyge Jonathan Sanctorum Ben Jeurissen Jan De Beenhouwer Jan Sijbers |
| author_sort | Ben Huyge |
| collection | DOAJ |
| description | The properties of fiber reinforced polymers are strongly related to the length and orientation of the fibers within the polymer matrix, the latter of which can be studied using X-ray computed tomography (XCT). Unfortunately, resolving individual fibers is challenging because they are small compared to the XCT voxel resolution and because of the low attenuation contrast between the fibers and the surrounding resin. To alleviate both problems, anisotropic dark field tomography via grating based interferometry (GBI) has been proposed. Here, the fiber orientations are extracted by applying a Funk-Radon transform (FRT) to the local scatter function. However, the FRT suffers from a low angular resolution, which complicates estimating fiber orientations for small fiber crossing angles. We propose constrained spherical deconvolution (CSD) as an alternative to the FRT to resolve fiber orientations. Instead of GBI, edge illumination phase contrast imaging is used because estimating fiber orientations with this technique has not yet been explored. Dark field images are generated by a Monte Carlo simulation framework. It is shown that the FRT cannot estimate the fiber orientation accurately for crossing angles smaller than 70<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula>, while CSD performs well down to a crossing angle of 50<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula>. In general, CSD outperforms the FRT in estimating fiber orientations. |
| first_indexed | 2024-03-11T01:31:43Z |
| format | Article |
| id | doaj.art-d2edd093c49248f8bfd6a4c979712031 |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-11T01:31:43Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-d2edd093c49248f8bfd6a4c9797120312023-11-18T17:21:35ZengMDPI AGPolymers2073-43602023-06-011513288710.3390/polym15132887Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical DeconvolutionBen Huyge0Jonathan Sanctorum1Ben Jeurissen2Jan De Beenhouwer3Jan Sijbers4imec—Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, Belgiumimec—Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, Belgiumimec—Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, Belgiumimec—Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, Belgiumimec—Vision Lab, Department of Physics, University of Antwerp, 2000 Antwerp, BelgiumThe properties of fiber reinforced polymers are strongly related to the length and orientation of the fibers within the polymer matrix, the latter of which can be studied using X-ray computed tomography (XCT). Unfortunately, resolving individual fibers is challenging because they are small compared to the XCT voxel resolution and because of the low attenuation contrast between the fibers and the surrounding resin. To alleviate both problems, anisotropic dark field tomography via grating based interferometry (GBI) has been proposed. Here, the fiber orientations are extracted by applying a Funk-Radon transform (FRT) to the local scatter function. However, the FRT suffers from a low angular resolution, which complicates estimating fiber orientations for small fiber crossing angles. We propose constrained spherical deconvolution (CSD) as an alternative to the FRT to resolve fiber orientations. Instead of GBI, edge illumination phase contrast imaging is used because estimating fiber orientations with this technique has not yet been explored. Dark field images are generated by a Monte Carlo simulation framework. It is shown that the FRT cannot estimate the fiber orientation accurately for crossing angles smaller than 70<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula>, while CSD performs well down to a crossing angle of 50<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>∘</mo></msup></semantics></math></inline-formula>. In general, CSD outperforms the FRT in estimating fiber orientations.https://www.mdpi.com/2073-4360/15/13/2887FRPdark fieldedge illuminationphase contrast imagingconstrained spherical deconvolution |
| spellingShingle | Ben Huyge Jonathan Sanctorum Ben Jeurissen Jan De Beenhouwer Jan Sijbers Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution Polymers FRP dark field edge illumination phase contrast imaging constrained spherical deconvolution |
| title | Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution |
| title_full | Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution |
| title_fullStr | Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution |
| title_full_unstemmed | Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution |
| title_short | Fiber Orientation Estimation from X-ray Dark Field Images of Fiber Reinforced Polymers Using Constrained Spherical Deconvolution |
| title_sort | fiber orientation estimation from x ray dark field images of fiber reinforced polymers using constrained spherical deconvolution |
| topic | FRP dark field edge illumination phase contrast imaging constrained spherical deconvolution |
| url | https://www.mdpi.com/2073-4360/15/13/2887 |
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