Digital Imaging Based on Fractal Theory and Its Spatial Dimensionality

Abstract

Due to the complexity of digital imaging targets and imaging conditions, fractal theory techniques in existing digital imaging systems still have various shortcomings. In this paper, a digital imaging processing method based on fractal theory is proposed for the first time. For X-ray images, the rapid calculation method of H-parameters is derived based on the fractional Brownian random field model. The H-parameters of X-ray images are calculated point by point. After that, all the singular points are connected, which is the edge of the defect in the image. We apply this method to analyze and process the X-ray images with defects such as missing joints, skins and hollows. Secondly, by means of fractal geometry, the contour slice measurement of the digital imaging space of this fractal is studied. The approximate index value is the digital imaging section profile dimension (D1 dimension) and the section shadow dimension (D2 dimension), so that the dimension determines the complexity of the form and detail of digital imaging. Finally, it can be seen from the experimental results that this method is effective and explores a new way for the development of digital imaging technology. At the same time, it is of great significance to the automatic pattern recognition of the application.

Urban spatial form analysis based on the architectural layout -- Taking Zhengzhou City as an example

“…At present, the majority of architectural morphology research based on fractal theory mostly stays at the calculation level of fractal dimension [23][24][25][26]. Few studies have established the corresponding relationship between fractal value and architectural form.…”

“…Traditional statistical methods cannot often effectively reveal its spatial form characteristics and development rules [23]. Fractal theory presents a structural law considering the similarity between part of the system and the entire system [24][25][26], and it is important to the research the subdivision and evolution of urban geographic spatial form [22]. Since Batty introduced fractal theory into urban research, it has quickly become an important tool for urban spatial morphology research [27][28][29].…”

Recent Trends in Fractal Antenna Research for In-body Communications

“…Perhaps, the most well-known definition of the term geometric fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole", introduced by Mandelbrot in 1983 [1]. Since then, many researchers took the inspiration from this fractal property to develop various technologies, such as antenna design [2], transistor development [3], digital imaging [4], computer graphics [5], enzymes research [6], and even arts [7].…”