Efficient stereo correspondence of uncalibrated images needs the use of complex primitives such as quadrilaterals or perceptual groups. To meet this problem, hierarchic systems are under interest. This article depicts and comments one kind of these systems. It deals with contour chains and pertinent points over these chains to reach respectively global and local consistencies through the same generic relaxation technique. Tests are made over several indoor and outdoor real image sequences. They are evaluated and commented. This work is part of SYMPAS 1 project whose goal is to achieve 3D planar projective reconstructions from uncalibrated image sequences.