Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units
Abstract Several materials and tissues are characterized by a microstructure composed of fibrous units embedded in a ground matrix. In this paper, a novel three-dimensional (3D) Fourier transform-based method for quantifying the distribution of fiber orientations is presented. The method allows for...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-51550-5 |
| _version_ | 1827196124820144128 |
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| author | Riccardo Alberini Andrea Spagnoli Mohammad Javad Sadeghinia Bjørn Skallerud Michele Terzano Gerhard A. Holzapfel |
| author_facet | Riccardo Alberini Andrea Spagnoli Mohammad Javad Sadeghinia Bjørn Skallerud Michele Terzano Gerhard A. Holzapfel |
| author_sort | Riccardo Alberini |
| collection | DOAJ |
| description | Abstract Several materials and tissues are characterized by a microstructure composed of fibrous units embedded in a ground matrix. In this paper, a novel three-dimensional (3D) Fourier transform-based method for quantifying the distribution of fiber orientations is presented. The method allows for an accurate identification of individual fiber families, their in-plane and out-of-plane dispersion, and showed fast computation times. We validated the method using artificially generated 3D images, in terms of fiber dispersion by considering the error between the standard deviation of the reconstructed and the prescribed distributions of the artificial fibers. In addition, we considered the measured mean orientation angles of the fibers and validated the robustness using a measure of fiber density. Finally, the method is employed to reconstruct a full 3D view of the distribution of collagen fiber orientations based on in vitro second harmonic generation microscopy of collagen fibers in human and mouse skin. The dispersion parameters of the reconstructed fiber network can be used to inform mechanical models of soft fiber-reinforced materials and biological tissues that account for non-symmetrical fiber dispersion. |
| first_indexed | 2024-03-07T15:30:56Z |
| format | Article |
| id | doaj.art-a0c6c48e457f43169818833c6d2bfe4e |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2025-03-21T09:40:15Z |
| publishDate | 2024-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-a0c6c48e457f43169818833c6d2bfe4e2024-07-07T11:16:47ZengNature PortfolioScientific Reports2045-23222024-01-0114111710.1038/s41598-024-51550-5Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous unitsRiccardo Alberini0Andrea Spagnoli1Mohammad Javad Sadeghinia2Bjørn Skallerud3Michele Terzano4Gerhard A. Holzapfel5Department of Engineering and Architecture, University of ParmaDepartment of Engineering and Architecture, University of ParmaDepartment of Structural Engineering, Norwegian University of Science and Technology (NTNU)Department of Structural Engineering, Norwegian University of Science and Technology (NTNU)Institute of Biomechanics, Graz University of TechnologyDepartment of Structural Engineering, Norwegian University of Science and Technology (NTNU)Abstract Several materials and tissues are characterized by a microstructure composed of fibrous units embedded in a ground matrix. In this paper, a novel three-dimensional (3D) Fourier transform-based method for quantifying the distribution of fiber orientations is presented. The method allows for an accurate identification of individual fiber families, their in-plane and out-of-plane dispersion, and showed fast computation times. We validated the method using artificially generated 3D images, in terms of fiber dispersion by considering the error between the standard deviation of the reconstructed and the prescribed distributions of the artificial fibers. In addition, we considered the measured mean orientation angles of the fibers and validated the robustness using a measure of fiber density. Finally, the method is employed to reconstruct a full 3D view of the distribution of collagen fiber orientations based on in vitro second harmonic generation microscopy of collagen fibers in human and mouse skin. The dispersion parameters of the reconstructed fiber network can be used to inform mechanical models of soft fiber-reinforced materials and biological tissues that account for non-symmetrical fiber dispersion.https://doi.org/10.1038/s41598-024-51550-5 |
| spellingShingle | Riccardo Alberini Andrea Spagnoli Mohammad Javad Sadeghinia Bjørn Skallerud Michele Terzano Gerhard A. Holzapfel Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units Scientific Reports |
| title | Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units |
| title_full | Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units |
| title_fullStr | Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units |
| title_full_unstemmed | Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units |
| title_short | Fourier transform-based method for quantifying the three-dimensional orientation distribution of fibrous units |
| title_sort | fourier transform based method for quantifying the three dimensional orientation distribution of fibrous units |
| url | https://doi.org/10.1038/s41598-024-51550-5 |
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