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A vision-based method for the circle pose determination with a direct geometric interpretation

机译:一种基于视觉的直接确定几何姿势的圆姿方法

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摘要

A novel vision-based method for the circle pose determination is addressed. This method is based on two particular projected chords of a circle image. The first one is the projection of a circle chord which subtends the largest apex angle of the viewing cone for the circle image and the second one is the projection of a circle diameter whose back-projection plane bisects the above largest apex angle. This method is conceptually simple, since the circle center is the center point of the diameter chord and the circle orientation is given by the cross product of these two (directed) chords. We present theorems on the geometry of both the viewing cone and a re-projected circle image which are essential to the pose determination. We then give a pose determination method which is applicable under all viewing conditions. Experimental results illustrate the good performance of the method, when compared with other existing methods.
机译:提出了一种新颖的基于视觉的圆圈姿态确定方法。此方法基于圆形图像的两个特定的投影和弦。第一个是圆弦的投影,它对着圆形图像具有视锥的最大顶角,第二个是圆直径的投影,其反投影平面将上述最大顶角一分为二。此方法在概念上很简单,因为圆心是直径弦的中心点,并且圆的方向由这两个(有向)弦的叉积给出。我们提出了关于视锥和重新投影的圆形图像的几何定理,这对于确定姿势至关重要。然后,我们给出一种姿势确定方法,该方法适用于所有观看条件。与其他现有方法相比,实验结果证明了该方法的良好性能。

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