Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface

Combined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of the light band was obtained by the gray centroid method...

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Main Authors: Tang Ruiyin, Liu Bo
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/2/444
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author Tang Ruiyin
Liu Bo
author_facet Tang Ruiyin
Liu Bo
author_sort Tang Ruiyin
collection DOAJ
description Combined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of the light band was obtained by the gray centroid method, and the center of the light band was enhanced by the fractional differential algorithm. Three samples of hard disk substrate, roller, and printed circuit board were selected. The traditional processing was compared to the fractional differential algorithm in this paper, and several advanced algorithms were compared with the algorithm in this paper. Experimental data showed that fractional differential enhancement can effectively improve the accuracy of extracting the center of light fringes. It can be found that the average error of extracting the center by fractional differential processing was relatively small, and the image outline was clearer.
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spelling doaj.art-d20053e8673249d29a89834590641cf72023-11-30T23:22:19ZengMDPI AGMathematics2227-73902023-01-0111244410.3390/math11020444Application of Fractional Differential Model in Image Enhancement of Strong Reflection SurfaceTang Ruiyin0Liu Bo1School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065099, ChinaSchool of Electrical Engineering, North China University of Science and Technology, Tangshan 063210, ChinaCombined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of the light band was obtained by the gray centroid method, and the center of the light band was enhanced by the fractional differential algorithm. Three samples of hard disk substrate, roller, and printed circuit board were selected. The traditional processing was compared to the fractional differential algorithm in this paper, and several advanced algorithms were compared with the algorithm in this paper. Experimental data showed that fractional differential enhancement can effectively improve the accuracy of extracting the center of light fringes. It can be found that the average error of extracting the center by fractional differential processing was relatively small, and the image outline was clearer.https://www.mdpi.com/2227-7390/11/2/444fractional differentiationgray centroid methodhighlight the backgroundimage enhancement
spellingShingle Tang Ruiyin
Liu Bo
Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
Mathematics
fractional differentiation
gray centroid method
highlight the background
image enhancement
title Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
title_full Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
title_fullStr Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
title_full_unstemmed Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
title_short Application of Fractional Differential Model in Image Enhancement of Strong Reflection Surface
title_sort application of fractional differential model in image enhancement of strong reflection surface
topic fractional differentiation
gray centroid method
highlight the background
image enhancement
url https://www.mdpi.com/2227-7390/11/2/444
work_keys_str_mv AT tangruiyin applicationoffractionaldifferentialmodelinimageenhancementofstrongreflectionsurface
AT liubo applicationoffractionaldifferentialmodelinimageenhancementofstrongreflectionsurface