[1] Lai T, Cheng P, Yan C, et al. 2D and 3D shape sensing based on 7-core fiber Bragg gratings[J]. Photonic Sensors, 10, 306-315(2020).

[2] Hou Maoxiang, Yang Kaiming, He Jun, et al. Two-dimensional vector bending sensor based on seven-core fiber Bragg gratings[J]. Optics Express, 26, 23770-23781(2018).

[3] Luo Shujun, Wang Xiaoliang, Chen Daru, et al. Multi-core fiber and its application for bending sensor[J]. Acta Photonica Sinica, 45, 0206005(2016).

[4] Roesthuis R J, Kemp M, van den Dobbelsteen J J, et al. Three-dimensional needle shape reconstruction using an array of fiber bragg grating sensors[J]. IEEE/ASME Transactions on Mechatronics, 19, 1115-1126(2014).

[5] [5] Hoehn K, Olsson A, Arkwright J W. High capacity tque compression measurements using fibre optic senss [C]2017 2nd International Conference f Fibreoptic Photonic Senss f Industrial Safety Applications (OFSIS), IEEE, 2017: 3944.

[6] [6] Tang Chen, He Yanlin, Zhu Lianqing, et al. Research on end fce measurement method of soft robot based on fiber Bragg grating[J]. Infrared Laser Engineering, 2021, 50(7): 20200386. (in Chinese)

[7] Zhang Zhili, Fu Zhulin, Zhao Bing, et al. FBG sensing technology application in detection of bastion safety[J]. Infrared and Laser Engineering, 40, 492-496(2011).

[8] Burgner-Kahrs J, Rucker D C, Choset H. Continuum robots for medical applications: A survey[J]. IEEE Transactions on Robotics, 31, 1261-1280(2015).

[9] Swaney P J, York P A, Gilbert H B, et al. Design, fabrication, and testing of a needle-sized wrist for surgical instruments[J]. J Med Device, 11, 0145011-0145019(2017).

[10] Shi C, Luo X, Qi P, et al. Shape sensing techniques for continuum robots in minimally invasive surgery: A survey[J]. IEEE Transactions on Biomedical Engineering, 64, 1665-1678(2017).

[11] [11] Heiden M, Henken K R, Chen L K, et al. Accurate efficient fiber optical shape sens f MRI compatible minimally invasive instruments [C]Proceedings of SPIE, 2012, 8550: 85500L.

[12] Hoffman J, Waters D H, Khadka S, et al. Shape sensing of polymer core composite electrical transmission lines using FBG sensors[J]. IEEE Transactions on Instrumentation and Measurement, 69, 249-257(2019).

[13] [13] Duncan R G, Froggatt M E, Kreger S T, et al. Highaccuracy fiberoptic shape sensing [C]Proceedings of SPIE, 2007, 6530: 65301S.

[14] Li Zhengying, Sun Wenfeng, Wang Honghai. Research on the ultra-weak reflective fiber Bragg grating sensing technology based on optical frequency domain reflection technology[J]. Acta Optica Sinica, 35, 0806003(2015).

[15] 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, 19, 5878-5884(2019).

[16] Al-Ahmad O, Ourak M, Roosbroeck J V, et al. Improved FBG-based shape sensing methods for vascular catheterization treatment[J]. IEEE Robotics and Automation Letters, 5, 4683-4694(2020).

[17] Zhao Shiyuan, Cui Jiwen, Chen Mengmeng. Review on optical fiber shape sensing technology[J]. Optics and Precision Engineering, 28, 10-29(2020).

[19] Paloschi D, Bronnikov K A, Korganbayev S, et al. 3D shape sensing with multicore optical fibers: Transformation matrices vs Frenet-Serret equations for real-time application[J]. IEEE Sensors Journal, 21, 4599-4609(2020).