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arXiv 1506.07597cs.CVcs.RO
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非重叠视场下多相机集群SLAM中的简并运动

Degenerate Motions in Multicamera Cluster SLAM with Non-overlapping Fields of View

University of Waterloo(滑铁卢大学)

Michael J. Tribou, David W. L. Wang, Steven L. Waslander

摘要:

分析了导致解退化的相对运动和点特征模型配置,对于使用具有非重叠视场的多相机集群的同时定位与地图构建系统的情况。SLAM优化系统寻求最小化图像空间重投影误差,并且针对包含任何数量的组件相机的集群进行公式化,观察两个关键帧上的任何数量的点特征。测量雅可比矩阵被变换以暴露降维表示,使得系统的退化可以由稠密子矩阵的秩来确定。一组足够的相对运动的退化被确定为某些集群配置,独立的目标模型的几何形状。此外,它示出,增加集群内的摄像机的数量和观察功能在不同的摄像机在两个关键帧的退化运动集的大小显着减少。

英文摘要:

An analysis of the relative motion and point feature model configurations leading to solution degeneracy is presented, for the case of a Simultaneous Localization and Mapping system using multicamera clusters with non-overlapping fields-of-view. The SLAM optimization system seeks to minimize image space reprojection error and is formulated for a cluster containing any number of component cameras, observing any number of point features over two keyframes. The measurement Jacobian is transformed to expose a reduced-dimension representation such that the degeneracy of the system can be determined by the rank of a dense submatrix. A set of relative motions sufficient for degeneracy are identified for certain cluster configurations, independent of target model geometry. Furthermore, it is shown that increasing the number of cameras within the cluster and observing features across different cameras over the two keyframes reduces the size of the degenerate motion sets significantly.

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