Master’s Thesis — Learning Distance Functions for Robot Obstacle Avoidance
This thesis investigates data-driven distance representations for robot obstacle avoidance in mobile manipulation. A geometric dataset is first constructed by sampling collision-free robot configurations and corresponding workspace obstacle points, from which exact distance values are computed. These distances are then approximated through neural models, enabling smooth and differentiable distance functions. The learned representations are designed to support gradient-based control, with the long-term goal of integrating distance constraints into quadratic programming formulations for real-time motion generation of mobile base manipulators.