“…With the rapid development of microelectromechanical system (MEMS) IMUs, diversified product series now provide low-cost MEMS IMU modules and even chips with considerable precision and significant potential for use in these measurements (El-Sheimy & Youssef, 2020). Therefore, MEMS-based inertial navigation systems (INSs) that provide high-frequency smoothed and high-precision navigation information detailing position, velocity, and attitude with significant precision when aided by external information to reduce rapid drift, have been used widely in various applications in navigation and engineering surveys (Schwarz, 1983), such as railway track (Chen et al, 2018;Chen et al, 2015;Gao et al, 2018) and pipeline surveying (Chen et al, 2019;Chowdhury & Abdel-Hafez, 2016;Guan et al, 2020).…”