Abstract
This paper introduces a novel approach of visualization for electromagnetic fields. Our approach is one of the image analysis methodologies based on the classical field theory, which has versatile capability for image processing, compressing, visualizing, identifying, and animating. A key idea is that each of the pixels representing a digital image is regarded as a kind of potentials in vector fields. Gradient or curl operation of the vector calculus to the image data yields image field vector distribution. Any kinds of images can be represented by well-known partial differential equations. The Poisson and Helmholtz types of equations are possible to represent the static and dynamic images, respectively. In this paper, visualized electromagnetic field images are analyzed based on our image differential equations. The image Poisson equation is possible to reconstruct the original electromagnetic fields with high spatial resolution. The image Helmholtz equation enables us extr action of the parameters characterizing the electromagnetic phenomena.
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