[5] [5] YI J, ZHU X, ZHANG H, et al. Spatial shape reconstruction using orthogonal fiber Bragg grating sensor array[J]. Mechatronics, 2012, 22(6): 679-687.

[6] [6] MOORE J P, ROGGE M D. Shape sensing using multi-core fiber optic cable and parametric curve solutions[J]. Optics Express, 2012, 20(3): 2967-2973.

[8] [8] XIAO H, ZHANG Y, SHEN L, et al. Three dimensional curve reconstruction based on fiber Bragg grating sensors[C]//2015 International Conference on Estimation, Detection and Information Fusion (ICEDIF), January 10-11, 2015, Harbin, China. New York: IEEE, 2015:377-382.

[9] [9] WANG H, ZHANG R, CHEN W, et al. Shape detection algorithm for soft manipulator based on fiber Bragg gratings[J]. IEEE/ASME Transactions on Mechatronics, 2016, 21(6): 2977-2982.

[10] [10] CHEN X, YI X, QIAN J, et al. Updated shape sensing algorithm for space curves with FBG sensors[J]. Optics and Lasers in Engineering, 2020, 129:106057.

[12] [12] WU J, QIU Y, WU Y, et al. New interpolation method for shape sensors based on fiber Bragg grating[C]//2019 18th International Conference on Optical Communications and Networks (ICOCN), August 5-8, 2019, Huangshan, China. New York: IEEE, 2019:1-3.

[16] [16] KHAN F, DENASI A, BARRERA D, et al. Multi-core optical fibers with Bragg gratings as shape sensor for flexible medical instruments[J]. IEEE Sensors Journal, 2019, 19(14): 5878-5884.