Proposes a method for the visual-based navigation of a mobile robot in indoor environments, using a single omnidirectional (catadioptric) camera. The geometry of the catadioptric sensor and the method used to obtain a bird's eye (orthographic) view of the ground plane are presented. This representation significantly simplifies the solution to navigation problems, by eliminating any perspective effects. The nature of each navigation task is taken into account when designing the required navigation skills and environmental representations. We propose two main navigation modalities: topological navigation and visual path following. Topological navigation is used for traveling long distances and does not require knowledge of the exact position of the robot but rather, a qualitative position on the topological map. The navigation process combines appearance based methods and visual servoing upon some environmental features. Visual path following is required for local, very precise navigation, e.g., door traversal, docking. The robot is controlled to follow a prespecified path accurately, by tracking visual landmarks in bird's eye views of the ground plane. By clearly separating the nature of these navigation tasks, a simple and yet powerful navigation system is obtained.

In this paper we present a general methodology for designing mirrors ofcatadioptric omnidirectional sensors encompassing linear projectionproperties, the so called constant resolution cameras. The linearity isstatedbetween 3D distances (or angles) and pixel coordinates.We include three practical cases of interest of linear constraints for bothstandard (cartesian pixel distribution) and log-polar cameras: constantvertical, horizontal and angular resolution.Finally, the formulation is applied in designing a camera combining some ofthe presented practical cases. Resulting images show that the design wassuccessful as the desired linear properties were obtained.

This paper presents a method to cooperatively localize pairs of robots fusing bearing-only information provided by cameras and the motion of the vehicles. The algorithm uses the robots as landmarks to estimate their relative location. Bearings are the simplest measurements directly obtained from the cameras, as opposed to measuring depths which would require knowledge or reconstruction of the world structure. We present the general recursive Bayes estimator and three different implementations based on an extended Kalman filter, a particle filter and a combination of both techniques. We have compared the performance of the different implementations using real data acquired with two platforms equipped with omnidirectional cameras and simulated data.