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.
