Image-based visual servoing for mobile robots with catadioptric camera

This paper presents an image-based visual servoing strategy for holonomic mobile robots equipped with a catadioptric camera. This kind of vision sensor combines lens and mirrors to enlarge the field of view. The proposed visual servoing is based on the auto-epipolar property, a special configuration which occurs when the desired and the current views undergo a pure translation. This occurrence is detectable from a set of image points, observing when the so-called bi-conics have a common intersection. The proposed visual servoing is divided in two sequential steps. Lyapunov-based stability demonstrates the parametric robustness of the proposed method. Experimental results are presented to show the applicability of our strategy in a real context