arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1803.03025cs.CV
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洞察单应性和平面姿态估计的控制点配置的鲁棒性

Insights into the robustness of control point configurations for homography and planar pose estimation

Technische Universität Darmstadt(达姆施塔特工业大学)

Raul Acuna, Volker Willert

摘要:

在本文中,我们调查的空间配置的一些$n \geq 4$控制点的空间后方交会方法的准确性和鲁棒性的影响,例如,用于姿态估计的基准标记。我们通过最小化DLT算法的一阶扰动解来找到控制点的鲁棒配置,这相当于最小化数据矩阵的条件数。一个经验统计评估,验证这些优化的控制点配置不仅提高了DLT单应性估计的性能,而且还提高了IPPE和EPPEND等平面姿态估计方法的性能,包括迭代最小化的重投影误差,这是最准确的算法。我们提供了稳定的控制点配置为现实世界中的嘈杂的相机数据,实际上是独立的相机姿势和形成一定的对称图案依赖于点的数量的特点。最后,我们提出了一个比较优化的配置与控制点的数量。

英文摘要:

In this paper, we investigate the influence of the spatial configuration of a number of $n \geq 4$ control points on the accuracy and robustness of space resection methods, e.g. used by a fiducial marker for pose estimation. We find robust configurations of control points by minimizing the first order perturbed solution of the DLT algorithm which is equivalent to minimizing the condition number of the data matrix. An empirical statistical evaluation is presented verifying that these optimized control point configurations not only increase the performance of the DLT homography estimation but also improve the performance of planar pose estimation methods like IPPE and EPnP, including the iterative minimization of the reprojection error which is the most accurate algorithm. We provide the characteristics of stable control point configurations for real-world noisy camera data that are practically independent on the camera pose and form certain symmetric patterns dependent on the number of points. Finally, we present a comparison of optimized configuration versus the number of control points.

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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