Neural Potential Field for Obstacle-Aware Local Motion Planning
Not on the map. Why?
Abstract (arXiv)
Model predictive control (MPC) may provide local motion planning for mobile robotic platforms. The challenging aspect is the analytic representation of collision cost for the case when both the obstacle map and robot footprint are arbitrary. We propose a Neural Potential Field: a neural network model that returns a differentiable collision cost based on robot pose, obstacle map, and robot footprint. The differentiability of our model allows its usage within the MPC solver. It is computationally hard to solve problems with a very high number of parameters. Therefore, our architecture includes neural image encoders, which transform obstacle maps and robot footprints into embeddings, which reduce problem dimensionality by two orders of magnitude. The reference data for network training are generated based on algorithmic calculation of a signed distance function. Comparative experiments showed that the proposed approach is comparable with existing local planners: it provides trajectories with outperforming smoothness, comparable path length, and safe distance from obstacles. Experiment on Husky UGV mobile robot showed that our approach allows real-time and safe local planning. The code for our approach is presented at https://github.com/cog-isa/NPField together with demo video.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 27 of its 68 references that are in the map. First posted on arXiv 25 Oct 2023.
Builds on
27 of 68 references.
References · 27
- 2017Attention Is All You Needcited by 59,932
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2021Vision-Only Robot Navigation in a Neural Radiance Worldcited by 153
- 2022Safe Control with Learned Certificates: A Survey of Neural Lyapunov, Barrier, and Contraction methodscited by 148
- 2019acados: a modular open-source framework for fast embedded optimal controlcited by 61
- 2014Informed RRT*: Optimal Sampling-based Path Planning Focused via Direct Sampling of an Admissible Ellipsoidal Heuristiccited by 50
- 2020Safety-Critical Model Predictive Control with Discrete-Time Control Barrier Functioncited by 42
- 2022Real-time Neural-MPC: Deep Learning Model Predictive Control for Quadrotors and Agile Robotic Platformscited by 36
- 2014Theta*: Any-Angle Path Planning on Gridscited by 26
- 2021KNODE-MPC: A Knowledge-based Data-driven Predictive Control Framework for Aerial Robotscited by 26
- 2022How Does It Feel? Self-Supervised Costmap Learning for Off-Road Vehicle Traversabilitycited by 24
15 more
- 2017Batch Informed Trees (BIT*): Informed Asymptotically Optimal Anytime Searchcited by 22
- 2022Physics-Inspired Temporal Learning of Quadrotor Dynamics for Accurate Model Predictive Trajectory Trackingcited by 16
- 2023Learning Risk-Aware Costmaps via Inverse Reinforcement Learning for Off-Road Navigationcited by 15
- 2022TransPath: Learning Heuristics For Grid-Based Pathfinding via Transformerscited by 13
- 2021Safety-Critical Control and Planning for Obstacle Avoidance between Polytopes with Control Barrier Functionscited by 7
- 2022Policy Optimization to Learn Adaptive Motion Primitives in Path Planning with Dynamic Obstaclescited by 6
- 2022TOAST: Trajectory Optimization and Simultaneous Tracking using Shared Neural Network Dynamicscited by 4
- 2022Differentiable Collision Avoidance Using Collision Primitivescited by 4
- 2022A Generalized Continuous Collision Detection Framework of Polynomial Trajectory for Mobile Robots in Cluttered Environmentscited by 4
- 2019An NMPC Approach using Convex Inner Approximations for Online Motion Planning with Guaranteed Collision Avoidancecited by 3
- 2020CIAO^star: MPC-based Safe Motion Planning in Predictable Dynamic Environmentscited by 3
- 2022GraphDistNet: A Graph-based Collision-distance Estimator for Gradient-based Trajectory Optimizationcited by 3
- 2023Safe Interval Path Planning With Kinodynamic Constraintscited by 3
- 2021Non-Holonomic RRT & MPC: Path and Trajectory Planning for an Autonomous Cycle Rickshawcited by 2
- 2022MPC with Sensor-Based Online Cost Adaptationcited by 1
Built on by
Citing papers per year: 2024: 1; 2025: 1; 2026: 2.
4 papers.
- 2026CoFL: Continuous Flow Fields for Language-Conditioned Navigationcited by 2
- 2025M3DMap: Object-aware Multimodal 3D Mapping for Dynamic Environmentscited by 1
- 2026AeroDPO: Unleashing Lightweight UAV Navigation with High-Fidelity Perception and Automated Preference Optimizationcited by 1
- 2024Dynamic Neural Potential Field: Online Trajectory Optimization in the Presence of Moving Obstaclescited by 0
- 2026AeroDPO: Unleashing Lightweight UAV Navigation with High-Fidelity Perception and Automated Preference Optimization2 Aug 2026
- 2026CoFL: Continuous Flow Fields for Language-Conditioned Navigation3 Mar 2026
- 2025M3DMap: Object-aware Multimodal 3D Mapping for Dynamic Environments23 Aug 2025
- 2024Dynamic Neural Potential Field: Online Trajectory Optimization in the Presence of Moving Obstacles9 Oct 2024