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DIGITAL IMAGING BASED ON FRACTAL THEORY AND ITS SPATIAL DIMENSIONALITY

YUAN TIAN

School of Art and Design, Hubei University of Economics, Wuhan 430205, P. R. China

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GAOYUAN CUI

School of Sports Economics and Management, Hubei University of Economics, Wuhan 430205, P. R. China

E-mail Address: cgy@hbue.edu.cn

Corresponding author.

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, and

HARRY MORRIS

Darden School of Business, University of Virginia, VA 22903, Charlottesville, USA

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https://doi.org/10.1142/S0218348X20400149Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal and Fractional with Applications to Nature
Guest Editors: Abdon Atangana, Emile Franc Goufo Ndongmo, José Francisco Gómez Aguilar, Muhammad Altaf Khan and Ilknur Koca

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.

Keywords:

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Vol. 28, No. 08

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History

Received 17 December 2019

Accepted 12 February 2020

Published: June 13, 2020

Information

This is an Open Access article in the “Special Issue on Fractal and Fractional with Applications to Nature” published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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DIGITAL IMAGING BASED ON FRACTAL THEORY AND ITS SPATIAL DIMENSIONALITY

Abstract

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