<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This article combines the fractional differential theory with the total variation method and applies it to defining cultural industry image color matching. At the same time, we propose a new image color matching denoising model based on fractional partial differential equations. The model achieves simultaneous denoising in the time direction and the spaceplane. Experiments have proved that the fractional partial differential equations method has more advantages than integer-order partial differential equations in denoising and reducing step effects. It can effectively improve the contrast and clarity of image color matching in the cultural industry.</p>
</abstract>

This article combines the fractional differential theory with the total variation method and applies it to defining cultural industry image color matching. At the same time, we propose a new image color matching denoising model based on fractional partial differential equations. The model achieves simultaneous denoising in the time direction and the spaceplane. Experiments have proved that the fractional partial differential equations method has more advantages than integer-order partial differential equations in denoising and reducing step effects. It can effectively improve the contrast and clarity of image color matching in the cultural industry.

Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations

Fuzhou University of International Studies and Trade

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This article combines the fractional differential theory with the total variation method and applies it to defining cultural industry image color matching. At...

Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations

Published Online: Jun 06, 2023

Page range: 265 - 272

Received: Jan 13, 2022

Accepted: Mar 31, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00008

Keywords
Cultural industry, Color matching, Partial differential equations, Optical depth

© 2023 Shaopeng Wu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations

Published Online: Jun 06, 2023

Page range: 265 - 272

Received: Jan 13, 2022

Accepted: Mar 31, 2022

DOI: https://doi.org/10.2478/amns.2022.2.00008

KeywordsCultural industry, Color matching, Partial differential equations, Optical depth

© 2023 Shaopeng Wu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Keywords
Cultural industry, Color matching, Partial differential equations, Optical depth