解决重复空间中激光定位与建筑模型匹配的对称性混淆问题
Move First, Commit Later: Selective LiDAR-to-BIM Global Initialization via Sequential Consensus with Symmetry-Aware Abstention

- 通过分步决策机制,先移动后确认,避免错误匹配
- 在真实建筑和对称模拟中,90%以上场景正确初始化,误差小于0.36米
- 支持可逆判断,对称性问题可由后续运动破解
全局激光雷达到建筑信息模型(BIM)的初始定位需在无先验位姿情况下将机器人放置于设计好的建筑模型中。在重复结构中,主要失败模式并非置信度低的注册,而是高置信度的混淆:子地图可能与多个BIM区域匹配且得分相近,导致定位结果因对称性产生偏差。本文提出“先移动、后确认”策略,将注册前端视为证据源,并决定是否采纳。多个子地图候选位姿映射至统一的SE(2)锚点;通过不依赖非冠军多重性的顶级一致性 $B_m$ 聚合跨子地图证据;拓扑仅作为二元可行性门控。决策类型为:确认(COMMIT)、延迟(DEFER)或模糊(AMBIGUOUS(τ)),并报告检测到的对称周期;该过程可逆:对称性破坏性运动可将模糊状态升级为确认。在真实多房间建筑与受控对称仿真中,该层在所有测试轨迹尺度配置下均正确提交,其余情况则以带类型的态进行回避;而同一前端强制选择策略在多数情况下选错房间。已确认锚点与独立激光跟踪仪位置参考误差在0.02–0.36米之间,方向误差不超过1.9°。评估覆盖一栋建筑与一个前端,该层设计为前端模块化。
原文摘要 · Abstract (English)
Global LiDAR-to-BIM initialization must place a robot within an as-designed building model without a prior pose. In repetitive interiors, the principal failure mode is not low-confidence registration but confident aliasing: a submap can match several BIM regions with comparable scores, producing a high-scoring pose displaced by symmetry. We present Move First, Commit Later, a selective layer that treats a registration front-end as an evidence source and decides whether to commit. Candidates from multiple submaps are mapped to a common $\mathrm{SE}(2)$ anchor; a top-1 consensus $B_m$, invariant to non-champion multiplicity, aggregates cross-submap evidence; and topology serves only as a binary feasibility gate. The decision is typed--COMMIT, DEFER, or AMBIGUOUS($τ$), reporting the detected symmetry period--and reversible: symmetry-breaking motion upgrades AMBIGUOUS to COMMIT. On a real multi-room building and a controlled symmetric simulation, the layer commits correctly in every tested trajectory-scale configuration and otherwise abstains with a typed state, whereas forced-choice policies on the same front-end select wrong rooms in most cases. Committed anchors are within 0.02--0.36 m of an independent laser-tracker position reference and within $1.9^\circ$ of a BIM-registration orientation proxy. The evaluation covers one building and one front-end; the layer is designed to be front-end modular.
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