arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.07627cs.CVcs.GRcs.RO
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快速且鲁棒的迭代最近点算法

Fast and Robust Iterative Closest Point

University of Science and Technology of China(中国科学技术大学);Cardiff University(卡迪夫大学)

Juyong Zhang, Yuxin Yao, Bailin Deng

AI总结:

本文针对ICP收敛慢且对离群点和部分重叠敏感的问题,提出基于Anderson加速的MM框架和Welsch鲁棒误差度量,在保证精度的情况下比Sparse ICP快一个数量级以上,并扩展至点到平面ICP。

摘要:

迭代最近点(ICP)算法及其变体是两组点集之间刚性配准的基础技术,在从机器人学到三维重建等不同领域有着广泛应用。ICP的主要缺点是其收敛速度慢,以及对离群点、缺失数据和部分重叠的敏感性。近期的工作如Sparse ICP通过稀疏优化实现了鲁棒性,但以牺牲计算速度为代价。在本文中,我们提出了一种具有快速收敛性的鲁棒配准新方法。首先,我们证明经典的点到点ICP可以被视为一种majorization-minimization(MM)算法,并提出一种Anderson加速方法来加快其收敛速度。此外,我们引入了一种基于Welsch函数的鲁棒误差度量,该度量使用带Anderson加速的MM算法进行高效最小化。在具有噪声和部分重叠的挑战性数据集上,我们取得了与Sparse ICP相似或更好的精度,同时速度至少快一个数量级。最后,我们将鲁棒公式扩展到点到平面ICP,并使用类似的Anderson加速MM策略求解所得问题。我们的鲁棒ICP方法在基准数据集上提高了配准精度,同时在计算时间上具有竞争力。

英文摘要:

The Iterative Closest Point (ICP) algorithm and its variants are a fundamental technique for rigid registration between two point sets, with wide applications in different areas from robotics to 3D reconstruction. The main drawbacks for ICP are its slow convergence as well as its sensitivity to outliers, missing data, and partial overlaps. Recent work such as Sparse ICP achieves robustness via sparsity optimization at the cost of computational speed. In this paper, we propose a new method for robust registration with fast convergence. First, we show that the classical point-to-point ICP can be treated as a majorization-minimization (MM) algorithm, and propose an Anderson acceleration approach to speed up its convergence. In addition, we introduce a robust error metric based on the Welsch's function, which is minimized efficiently using the MM algorithm with Anderson acceleration. On challenging datasets with noises and partial overlaps, we achieve similar or better accuracy than Sparse ICP while being at least an order of magnitude faster. Finally, we extend the robust formulation to point-to-plane ICP, and solve the resulting problem using a similar Anderson-accelerated MM strategy. Our robust ICP methods improve the registration accuracy on benchmark datasets while being competitive in computational time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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