A Method of Image Processing and Its Application to Magnetodynamic Fields

Abstract

Dynamic images such as computer graphics animation, moving things captured by video camera are always composed of several images as frames. This paper proposes one of the mathematical formulations for such animations. The key idea of our formulation is that each of the pixels representing an image is regarded as a kind of potentials in vector fields. Based on the vector calculus in classical physics, any static and dynamic images can be represented by the Poisson-and Helmholtz-type partial differential equations, respectively. This makes it possible to handle any images as analytical and continuous quantity even though these are given in terms of the discrete ones.Further, it is clarified that the animation technology is closely related with the simulation one. In the present paper, we carry out one of the simulations for magnetodynamic fields in ferro-magnetic material to show the relationship between the animation and simulation methodologies. As a result, it is demonstrated that our animation methodology reproduces the simulated magnetodynamic fields. Thus, it is found that our approach has versatile capability for analyzing the electric and electronic devices.

An image-based approach for Preisach function calculation

“…To analyze the dynamic images, we have proposed a Helmholtz-type equation [7]. Suppose that a domain image is composed of a two-dimensional scalar field , and then the dynamics of domains can be represented by the image Helmholtz equation.…”

“…The modal analysis to (5) gives a general solution [7] (6) where and are an initial image and a state transition matrix, respectively. Because of the parameter in (5), the state transition matrix is unknown as well.…”

“…In order to derive the Preisach function from domain images, the present paper employs the image Helmholtz equation [7], which is a governing differential equation of the digital dynamic images. The state transition matrix of the equation equivalently represents the characteristic values of the physical dynamic system visualized by finite number of images.…”

Magnetization curve plotting from the magnetic domain images

“…To obtain continuous magnetization curves, we employ the image Helmholtz equation method to given domain images [3]. Suppose that a domain image is composed of a scalar field , and then the dynamics of magnetic domains can be represented by the image Helmholtz equation.…”

“…This paper proposes a method of magnetization curve plotting from a series of the distinct grain-oriented electrical steel SEM domain images. Instead of measuring enormous number of images, we employ the images Helmholtz equation method [3] which makes it possible to extract parameters characterizing transition information of animation from its frames. As a result of computation using these parameters makes it possible to generate animation continuously.…”