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

<p>This paper proposes a denoising algorithm for physical, electronic images based on fractional differential equations. The algorithm effectively combines fractional calculus theory and gradient descent flow. At the same time, we introduce the time factor into the improved denoising model based on the spatial fractional partial differential equation. We take advantage of the unique amplitude-frequency characteristic of fractional differential operation to preserve the texture details with little grayscale change in the smooth area of the image. The model realizes the simultaneous denoising of physical, electronic images in the time direction and the spaceplane. The experimental results show that the fractional-order partial differential equation method has more advantages than the integer-order partial differential equation in denoising and reducing the staircase effect.</p>
</abstract>

This paper proposes a denoising algorithm for physical, electronic images based on fractional differential equations. The algorithm effectively combines fractional calculus theory and gradient descent flow. At the same time, we introduce the time factor into the improved denoising model based on the spatial fractional partial differential equation. We take advantage of the unique amplitude-frequency characteristic of fractional differential operation to preserve the texture details with little grayscale change in the smooth area of the image. The model realizes the simultaneous denoising of physical, electronic images in the time direction and the spaceplane. The experimental results show that the fractional-order partial differential equation method has more advantages than the integer-order partial differential equation in denoising and reducing the staircase effect.

The Practice System of Physics and Electronics Courses in Higher Vocational Colleges Based on Fractional Differential Equations

Applied Mathematics and Nonlinear Sciences

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

This paper proposes a denoising algorithm for physical, electronic images based on fractional differential equations. The algorithm effectively combines...

The Practice System of Physics and Electronics Courses in Higher Vocational Colleges Based on Fractional Differential Equations

Data publikacji: 15 lip 2022

Zakres stron: 999 - 1006

Otrzymano: 13 lut 2022

Przyjęty: 23 kwi 2022

DOI: https://doi.org/10.2478/amns.2022.2.0087

Słowa kluczowe
Fractional differential equation, Higher vocational colleges, Physical electronics, Image denoising, Curriculum practice

© 2023 Wenge Feng, published by Sciendo

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

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The Practice System of Physics and Electronics Courses in Higher Vocational Colleges Based on Fractional Differential Equations

Data publikacji: 15 lip 2022

Zakres stron: 999 - 1006

Otrzymano: 13 lut 2022

Przyjęty: 23 kwi 2022

DOI: https://doi.org/10.2478/amns.2022.2.0087

Słowa kluczoweFractional differential equation, Higher vocational colleges, Physical electronics, Image denoising, Curriculum practice

© 2023 Wenge Feng, published by Sciendo

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

Figure 1

Figure 2

Figure 3

Słowa kluczowe
Fractional differential equation, Higher vocational colleges, Physical electronics, Image denoising, Curriculum practice