DETECTING PERCEPTUALLY PARALLEL CURVES - CRITERIA AND FORCE-DRIVEN OPTIMIZATION

We have developed several theorems for the detection of parallel curve s in the continuous space. In this paper, we studied issues in carryin g the continuous algorithm to the discrete case and also the perceptua l characteristics leading to human recognition of parallelism. By form ulating these properties in terms of several distinctive forces, we de veloped a force-driven model as a new optimization strategy to perform correspondence establishment between points in the matching curves. T his force-driven mechanism provides a good coupling (or correspondence matching) result, which is the prerequisite for the correct detection of parallelism between curves. Convergence of the algorithm and imple mentation efficiency are also investigated and discussed. Experimental results on the relative weightings of these forces also shed light on the perceptual priority imposed by the human vision system. (C) 1997 Academic Press.