1. Introduction
Three-dimensional (3D) shape sensing, which provides accurate and comprehensive measurement of structure shape change from strain data, is expected to be a useful technology in many potential application areas [1]–[4]. For example, the robot shape and tissue robot interaction can be controlled precisely to enhance the efficacy of the treatment administered and improve patient safety by shape sensing [1]. Besides, 3D shape sensing can be used for evaluating and monitoring structural system response and damage detection in architecture and aeronautics [2]–[4].