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Robust synchronization in SO(3) and SE(3) via low-rank and sparse matrix decomposition

机译:通过低秩和稀疏矩阵分解实现SO(3)和SE(3)中的鲁棒同步

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摘要

This paper deals with the synchronization problem, which arises in multiple 3D point-set registration and in structure-from-motion. The problem is formulated as alow-rank and sparsematrix decomposition that caters for missing data, outliers and noise, and it benefits from a wealth of available decomposition algorithms that can be plugged-in. A minimization strategy, dubbedR-GoDec, is also proposed. Experimental results on simulated and real data show that this approach offers a good trade-off between resistance to outliers and speed.
机译:本文讨论了同步问题,该问题出现在多个3D点集配准和运动结构中。该问题被表述为低秩和稀疏矩阵分解,可以解决数据丢失,离群值和噪声的问题,并且可以从大量可插入的可用分解算法中受益。还提出了一种称为R-GoDec的最小化策略。在模拟和真实数据上的实验结果表明,这种方法在对异常值的抵抗力和速度之间提供了很好的折衷。

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