Pulse and staircase edge models

Abstract

Present step and ramp edge models are inadequate for the edges detected by multi-resolution operators. Since the isolated edges rarely occur in the real scenes, we propose new edge models based on the pulse and staircase functions. In these models we include the effect of one edge on a neighboring edge. This effect propagates through to the higher operator sizes. Depending on the mutual polarities of the steps in the staircase and pulse functions, the edge points related to these discontinuities attract or repel each other when the operator size increases. In the case of staircase function, when the edge points attract each other at some scale they collapse into one.