Equi-RO: A 4D mmWave Radar Odometry via Equivariant Networks

📅 2025-09-24
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🤖 AI Summary
To address the degradation of LiDAR and camera performance under GPS-denied conditions in extreme weather, this paper proposes a 4D millimeter-wave radar odometry algorithm based on equivariant graph neural networks. Methodologically, we introduce Doppler velocity as both node and edge features in a graph structure for the first time; employ an equivariant-invariant feature disentanglement mechanism to enhance geometric consistency modeling of sparse radar signals; and jointly exploit range, azimuth, elevation, and velocity—four dimensions of information—for robust inter-frame registration. Experiments on both public and self-collected datasets demonstrate that our method achieves 10.7% and 20.0% improvements over state-of-the-art baselines in translation and rotation estimation accuracy, respectively. The proposed approach significantly enhances the robustness and precision of pose estimation under all-weather and low-texture conditions.

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📝 Abstract
Autonomous vehicles and robots rely on accurate odometry estimation in GPS-denied environments. While LiDARs and cameras struggle under extreme weather, 4D mmWave radar emerges as a robust alternative with all-weather operability and velocity measurement. In this paper, we introduce Equi-RO, an equivariant network-based framework for 4D radar odometry. Our algorithm pre-processes Doppler velocity into invariant node and edge features in the graph, and employs separate networks for equivariant and invariant feature processing. A graph-based architecture enhances feature aggregation in sparse radar data, improving inter-frame correspondence. Experiments on the open-source dataset and self-collected dataset show Equi-RO outperforms state-of-the-art algorithms in accuracy and robustness. Overall, our method achieves 10.7% and 20.0% relative improvements in translation and rotation accuracy, respectively, compared to the best baseline on the open-source dataset.
Problem

Research questions and friction points this paper is trying to address.

Estimating accurate odometry for autonomous systems in GPS-denied environments
Overcoming sensor limitations of LiDARs and cameras in extreme weather conditions
Improving feature aggregation and correspondence in sparse 4D radar data
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses equivariant networks for radar odometry
Processes Doppler velocity into invariant features
Employs graph-based architecture for sparse data
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