C-3TO: Continuous 3D Trajectory Optimization on Neural Euclidean Signed Distance Fields

Fuente: arXiv
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Main Authors: Gil, Guillermo, Cobano, Jose Antonio, Merino, Luis, Caballero, Fernando
Format: Preprint
Published: 2025
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author Gil, Guillermo
Cobano, Jose Antonio
Merino, Luis
Caballero, Fernando
author_facet Gil, Guillermo
Cobano, Jose Antonio
Merino, Luis
Caballero, Fernando
contents This paper introduces a novel framework for continuous 3D trajectory optimization 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20084
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle C-3TO: Continuous 3D Trajectory Optimization on Neural Euclidean Signed Distance Fields
Gil, Guillermo
Cobano, Jose Antonio
Merino, Luis
Caballero, Fernando
Robotics
This paper introduces a novel framework for continuous 3D trajectory optimization 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.
title C-3TO: Continuous 3D Trajectory Optimization on Neural Euclidean Signed Distance Fields
topic Robotics
url https://arxiv.org/abs/2509.20084