Alberini Riccardo, Spagnoli Andrea, Sadeghinia Mohammad Javad, Skallerud Bjørn, Terzano Michele, Holzapfel Gerhard A
Department of Engineering and Architecture, University of Parma, Parma, Italy.
Department of Structural Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway.
Sci Rep. 2024 Jan 23;14(1):1999. doi: 10.1038/s41598-024-51550-5.
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.
几种材料和组织的微观结构由嵌入基质中的纤维单元组成。本文提出了一种基于三维（3D）傅里叶变换的新型纤维取向分布量化方法。该方法能够准确识别单个纤维家族、它们的面内和面外分散情况，并且计算速度快。我们使用人工生成的3D图像对该方法进行了验证，通过考虑重建的标准差与人工纤维规定分布之间的误差来评估纤维分散情况。此外，我们考虑了测量的纤维平均取向角，并使用纤维密度测量方法验证了该方法的稳健性。最后，基于人皮肤和小鼠皮肤中胶原纤维的体外二次谐波产生显微镜成像，采用该方法重建了胶原纤维取向分布的完整3D视图。重建纤维网络的分散参数可用于为考虑非对称纤维分散的软纤维增强材料和生物组织的力学模型提供信息。
