I. Introduction
Fiber Bragg gratings (FBGs) are significant optical components based on fiber optic technology [1]. By monitoring and analyzing specific wavelengths in the reflection spectrum of FBGs, sensing physical quantities such as shape, temperature, and pressure can be achieved [2]–[3]. In terms of shape sensing, FBGs offer a remarkable advantage due to their fast response speed, enabling real-time measurement for shape characterization. Traditional FBG of single-point structures are subject to certain limitations in terms of measurement range and resolution. Measuring shape variations over large or continuous areas significantly increases the experimental challenges and costs involved [4]. Instead, fiber Bragg grating arrays (FBGAs) enable distributed real-time monitoring of multiple points, exhibiting advantages in perceiving shape variations over continuous areas [5]. As a result, FBGAs have been extensively applied in shape sensing, particularly in the perception of morphology in soft materials.