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routineRobotics & Embodied AIErgodic Trajectory Optimization2608.02304

TRACE: Ergodic Trajectory Optimization for Active Scene Reconstruction

Ziyue Zheng, Linli Shi, Bingkun He, Wen Jiang, Ziyun Wang

cs.RO cs.CV

Abstract

Existing active reconstruction systems with Gaussian-splatting maps select observations greedily, optimizing a single next-best-view (NBV) at each step and connecting the chosen views by short-horizon path planning. This greedy decoupling disregards the global structure of scene information, producing inefficient trajectories that waste sensing capacity in transit between selected views. In this work, we study active reconstruction as an ergodic coverage problem: the time-averaged spatial statistics of the sensor trajectory should match a target information distribution induced by the current map. Our approach derives this target distribution online from uncertainty and visibility, and calculates ergodic trajectories via a kernel-ergodic horizon planner with gradient flow and footprint depletion, closing the loop between mapping and trajectory optimization. We thoroughly evaluate TRACE on the Replica dataset against the Next-Best-View (NBV) baselines, improving PSNR by 1.5 dB. Code: https://github.com/spikelab-jhu/trace-active-reconstruction.

Topics

Classified with taxonomy v2 on Sat, 5 Sept 2026.

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