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Beyond Chamfer Distance: Granular Order-aware Evaluation Metric For Online Mapping
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Proposes SOSPA, an order-aware normalized polyline metric (GOSPA adapted to sequences, computed via Wagner-Fischer/GED), and DAP, a soft multi-instance metric built on P-GOSPA, evaluated on nuScenes against MapTRv2, StreamMapNet and MapTracker.
Problem
Standard online map evaluation uses Chamfer-distance-based mAP, which is insensitive to point ordering, gives coarse granularity, violates metric axioms, and cannot separate detection from geometric accuracy.
Approach
An order-aware GOSPA-style single-instance metric (SOSPA) computed as a minimum-cost trace of generalized edit distance, plus DAP, a soft P-GOSPA-based multi-instance metric that replaces hard TP/FP thresholding with confidence-weighted localization and detection terms.
Key results
- On nuScenes R60, mDAP ranks MapTracker (0.822) ahead of StreamMapNet (0.866) and MapTRv2 (0.893), matching the mAP ranking.
- Detection error dominates localization error by a factor of two to four for all methods on both evaluation ranges.
- On R100, FD-AP is near zero for all methods (mAP 0.029, 0.031, 0.091), whereas DAP stays informative (mDAP 0.884-0.936).
Surprising findings
- CD-based mAP gives a perfect score to predictions shifted diagonally by 1.0 m with one misordered instance, while DAP penalizes them.
- Fixed-N=200 point resampling gives similar metric values to 0.5 m equidistant sampling but takes roughly 4-6x longer to evaluate.
Limitations
- Metric focuses on geometry and does not capture instance-level topology such as lane connectivity.
- Only one-to-one assignment; does not handle fragmentation or merging of instances.
- Evaluated only on nuScenes with three methods.
Experimental setup
Datasets: nuScenes
Benchmarks: nuScenes
Metrics: mAP AP mDAP SOSPA DAP localization error DAP detection error runtime
Baselines: MapTRv2 StreamMapNet MapTracker Chamfer-distance mAP Frechet-distance AP
Builds on: GOSPA P-GOSPA generalized edit distance Wagner-Fischer algorithm mAP
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