Uncalibrated 3D visual servoing from epipolar geometry and projective invariants

Jun Adachi, J. Sato
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Abstract

Visual servoing is being widely investigated as a robot control method that is robust to unpredictable disturbances. Conventional visual servoing assumes calibration of the robot and camera, but such calibration proves very difficult in practice. Thus, we have proposed a method of stable visual servoing for a robot moving on a plane, with neither the robot nor its camera being calibrated. In this paper, we extend the previous method to 3D projective space, thus providing visual servoing for general uncalibrated robots operated in 3D space. In particular, we show that invariant properties in projective space defined by means of epipolar geometry play an important role in navigation. © 2007 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 90(12): 50–58, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.20361
非校准3D视觉伺服从极几何和射影不变量
视觉伺服作为一种对不可预测干扰具有鲁棒性的机器人控制方法正受到广泛的研究。传统的视觉伺服需要对机器人和摄像机进行标定,但这种标定在实践中被证明是非常困难的。因此,我们提出了一种不需要对机器人及其相机进行校准的平面运动机器人的稳定视觉伺服方法。在本文中,我们将之前的方法扩展到三维投影空间,从而为在三维空间中运行的一般未校准机器人提供视觉伺服。特别地,我们证明了由极极几何定义的射影空间的不变性在导航中起着重要的作用。©2007 Wiley期刊公司电子工程学报,2009,35 (3):559 - 559;在线发表于Wiley InterScience (www.interscience.wiley.com)。DOI 10.1002 / ecjc.20361
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