arXiv · 2509.06031
GELATO: Multi-Instruction Trajectory Reshaping via Geometry-Aware Multiagent-based Orchestration
Abstract
We present GELATO -- the first language-driven trajectory reshaping framework to embed geometric environment awareness and multi-agent feedback orchestration to support multi-instruction in human-robot interaction scenarios. Unlike prior learning-based methods, our approach automatically registers scene objects as 6D geometric primitives via a VLM-assisted multi-view pipeline, and an LLM translates free-form multiple instructions into explicit, verifiable geometric constraints. These are integrated into a geometric-aware vector field optimization to adapt initial trajectories while preserving smoothness, feasibility, and clearance. We further introduce a multi-agent orchestration with observer-based refinement to handle multi-instruction inputs and interactions among objectives -- increasing success rate without retraining. Simulation and real-world experiments demonstrate our method achieves smoother, safer, and more interpretable trajectory modifications compared to state-of-the-art baselines.
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Junhui Huang, Yuhe Gong, Changsheng Li, Xingguang Duan, Luis Figueredo. 2025-09-07. GELATO: Multi-Instruction Trajectory Reshaping via Geometry-Aware Multiagent-based Orchestration. https://arxiv.org/abs/2509.06031
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