RT Conference Proceedings T1 C-3TO: Continuous 3D Trajectory Optimization on Neural Euclidean Signed Distance Fields A1 Gil García, Guillermo A1 Cobano-Suárez, José-Antonio A1 Merino, Luis A1 Caballero, Fernando K1 Trajectory Planning K1 Distance Map K1 Local Path K1 Signed Distance Function K1 Safe Path K1 3D Trajectory Planning K1 Path Planning K1 Trajectory Optimization K1 Neural Network K1 Urban Planning K1 Pathfinding K1 Representation Of The Environment K1 Planning Algorithm K1 Software Framework K1 Efficient Path K1 Path Computation K1 Robot Operating System K1 Safe Navigation AB This paper introduces a novel framework for continuous 3D trajectory optimization (C-3TO) in cluttered environments, leveraging online neural Euclidean Signed Distance Fields (ESDFs). Unlike prior approaches that rely on discretized ESDF grids with interpolation, our method directly optimizes smooth trajectories represented by fifth-order polynomials over a continuous neural ESDF, ensuring precise gradient information throughout the entire trajectory. The framework integrates a two-stage nonlinear optimization pipeline that balances efficiency, safety and smoothness. Experimental results demonstrate that C-3TO produces collision-aware and dynamically feasible trajectories. Moreover, its flexibility in defining local window sizes and optimization parameters enables straightforward adaptation to diverse user’s needs without compromising performance. By combining continuous trajectory parameterization with a continuously updated neural ESDF, C-3TO establishes a robust and generalizable foundation for safe and efficient local replanning in aerial robotics. PB IEEE YR 2026 FD 2026-07-14 LK https://hdl.handle.net/10433/27332 UL https://hdl.handle.net/10433/27332 LA en NO 2026 International Conference on Unmanned Aircraft Systems (ICUAS), Corfu, Greece, 2026, pp. 161-168 NO Departamento de Deporte e Informática NO Service Robotics Laboratory DS RIO RD Sep 14, 2026