Application of edge field analysis to a blurred image

This paper introduces a method for quasi-motion extraction from a blurred image utilizing edge field analysis (EFA). Exposing a film for a certain time, we can directly photograph the trajectory of the moving object as an edge in a blurred image. As the edge trajectories are not exactly the same but similar to the optical flows, they allow us to treat the edge image as a pseudo-vector field. We define three line integrals in the edge image on closed curve similar to vector analysis. These integrals correspond to three flow primitives of the scene such as the translation, rotation and divergence. As the images, we utilized some images such as the storm, the bottle rocket and a moving object with random patterns. In order to evaluate the proposed method, we conducted the experiments of estimating the eye of the storm, the center of the explosion in terms of bottle rocket, and the centers of the rotation and divergence of the moving object.