Abstract: A novel model for constructing the occluded smooth boundary and illusory contour is presented. The model is based on an assumption that the boundary completion depends on some field attraction. An electric field generated by charges artificially distributed on key points of boundary fragments is selected to imitate the attraction. Then, the field stimulator and attraction are also defined according to electromagnetic theory. Moreover, a graph is constructed to solve the global grouping problem. By using this model, the occluded boundary and illusory contour can be quickly constructed without complex computing. A group of occluded boundary and illusory contour stimuli including an application is used to demonstrate the efficiency of our model.