arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.12611cs.ROcs.CV
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使用3D点的连续手眼校准

Continuous hand-eye calibration using 3D points

Aalborg University(奥尔堡大学)

Bjarne Grossmann, Volker Krueger

摘要:

校准算法的最新发展已被驱动到两个主要方向:(1)数学方法的准确性增加和(2)通过减少对校准对象的依赖性增加使用的灵活性。然而,这两种趋势似乎是矛盾的,因为整体精度与校准对象的姿态估计的精度直接相关,因此需要大的对象,而增加的灵活性导致更小的对象或噪声更大的估计方法。本文提出的方法旨在解决这个问题,在两个步骤:首先,我们推导出一个简单的封闭形式的解决方案,转移焦点的平移方程,只解决了必要的手眼变换。我们表明,它是优越的准确性和鲁棒性相比,传统的方法。其次,我们减少了依赖于校准对象到一个单一的三维点,通过使用类似的公式的基础上的平移方程,这是受校准对象的方向的估计误差小得多。此外,它使得方向的估计过时,同时利用来自第一解决方案的更高的精度和鲁棒性,从而产生用于连续手眼校准的通用方法。

英文摘要:

The recent development of calibration algorithms has been driven into two major directions: (1) an increasing accuracy of mathematical approaches and (2) an increasing flexibility in usage by reducing the dependency on calibration objects. These two trends, however, seem to be contradictory since the overall accuracy is directly related to the accuracy of the pose estimation of the calibration object and therefore demanding large objects, while an increased flexibility leads to smaller objects or noisier estimation methods. The method presented in this paper aims to resolves this problem in two steps: First, we derive a simple closed-form solution with a shifted focus towards the equation of translation that only solves for the necessary hand-eye transformation. We show that it is superior in accuracy and robustness compared to traditional approaches. Second, we decrease the dependency on the calibration object to a single 3D-point by using a similar formulation based on the equation of translation which is much less affected by the estimation error of the calibration object's orientation. Moreover, it makes the estimation of the orientation obsolete while taking advantage of the higher accuracy and robustness from the first solution, resulting in a versatile method for continuous hand-eye calibration.

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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