A new paper by Yaobin Yang, Linqing Luo, Maksymilian Jasiak, Chien-Chih Wang, Shih-Hung Chiu, and Kenichi Soga, titled “Cosserat rod-based modeling and stochastic analysis for distributed fiber optics shape-sensing,” has been published in Mechanical Systems and Signal Processing.
The paper presents a mathematical framework for estimating three-dimensional shapes using distributed fiber-optic strain measurements. The authors formulate the problem using Cosserat rod theory, derive an analytical solution under piecewise constant strain measurements, and extend the model to include stochastic error propagation. The study also develops practical pre- and post-measurement error bounds using an Itô–Taylor expansion.
This work provides an important theoretical foundation for distributed fiber-optic shape sensing, with applications in smart infrastructure, mooring lines, and other systems where continuous deformation monitoring is needed.