arXiv:2501.10219eess.SPcs.CV2025-01被引 6

无需外部依赖,也能精准定位目标刚体的相对位置与姿态。

Robust Egoistic Rigid Body Localization

  • 新方法不依赖目标形状或点数一致,直接估算两刚体中心位移。
  • 在数据完整时优于现有最佳方法,在数据缺失时仍保持鲁棒性。
  • 适合无基础设施、目标未知场景,如机器人自主导航。

本文研究一种鲁棒且自立(即“利己型”)的刚体定位(RBL)问题,即主刚体在无外部基础设施支持、无目标形状先验知识、且观测可能不完整的情况下,估计另一刚体(目标)相对于自身的位姿(位置与姿态)。提出了三项互补贡献:第一,提出一种新方法估算两刚体中心点间的平移向量,无需两物体形状相同或对应点数量一致;该方法在信息完整时显著优于现有最佳技术(SotA),但对数据缺失敏感,即便使用矩阵补全也难以克服。第二,设计了一种鲁棒性更强的替代方案,虽在信息完整时略有性能损失,但在不完整条件下表现更优。第三,提出一种估计目标刚体相对姿态旋转矩阵的方案。实验表明,所提方法在信息完全和部分缺失条件下,均在均方根误差(RMSE)上优于现有技术。

原文摘要 · Abstract (English)

We consider a robust and self-reliant (or "egoistic") variation of the rigid body localization (RBL) problem, in which a primary rigid body seeks to estimate the pose (i.e., location and orientation) of another rigid body (or "target"), relative to its own, without the assistance of external infrastructure, without prior knowledge of the shape of the target, and taking into account the possibility that the available observations are incomplete. Three complementary contributions are then offered for such a scenario. The first is a method to estimate the translation vector between the center point of both rigid bodies, which unlike existing techniques does not require that both objects have the same shape or even the same number of landmark points. This technique is shown to significantly outperform the state-of-the-art (SotA) under complete information, but to be sensitive to data erasures, even when enhanced by matrix completion methods. The second contribution, designed to offer improved performance in the presence of incomplete information, offers a robust alternative to the latter, at the expense of a slight relative loss under complete information. Finally, the third contribution is a scheme for the estimation of the rotation matrix describing the relative orientation of the target rigid body with respect to the primary. Comparisons of the proposed schemes and SotA techniques demonstrate the advantage of the contributed methods in terms of root mean square error (RMSE) performance under fully complete information and incomplete conditions.

刚体定位位姿估计鲁棒性无外参

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