Provided are robotic systems and methods for navigation of luminal network that can improve strain-based shape sensing. In one aspect, the system can compare strain-based shape data to shape data determined based on robotic data (e.g., kinematic model data, torque measurements, mechanical model data, command data, etc.) and adjust the strain-based shape data as necessary. Any portion of the strain-based shape data can be adjusted, weighted differently, or discarded based on the comparison. For example, data from trustworthy sources may indicate that the shape of an instrument exhibits or should exhibit one or more characteristics. If the system determines that any portion of the strain-based shape data is not in agreement with such characteristics, the system may adjust the portion of the strain-based shape data such that the adjusted strain-based shape data is in agreement with the characteristics of the instrument.