Image Governing Equations and Its Application to Vector Fields

Abstract

A novel image processing methodology based on the field theory is proposed to visualize the electromagnetic vector fields as well as any other vector fields. The key idea of our method is that an image is regarded as a potential field. Consequently, any images can be represented by differential equations. In the static image, the images with any resolutions can be obtained by solving for the Poisson type partial differential equations. As an application, our method is applied to the practically experimented magnetic field distributing around a DC/DC converter.