Advances in Mathematical Physics

Image Processing based on Partial Differential Equations


Publishing date
01 Apr 2022
Status
Closed
Submission deadline
03 Dec 2021

Lead Editor

1Chaohu University, Hefei, China

2Sanjiang University, Nanjing, China

3Southeast University, Nanjing, China

4University College of North Borneo, Kota Kinabalu, Malaysia

This issue is now closed for submissions.

Image Processing based on Partial Differential Equations

This issue is now closed for submissions.

Description

Digital image processing is the demand of the common development of computer science, mathematics, and social applications. Mathematics plays an essential role in the development of digital image processing as the field is involved in all branches of image processing. Over the years, the practical requirements and engineering background of digital image processing also promote the development of the branch of applied mathematics. The application of partial differential equation methods to digital image processing has been an important direction in the field of applied mathematics in the past 20 years. There are constantly new challenges in studying digital image processing based on the partial differential equation method.

Partial differential equation (PDE) method shows better performance than traditional image processing methods, and some new ideas have never been considered in traditional image processing, such as affine invariant feature extraction, image structure and texture decomposition, etc. Partial differential equation method aims to establish the mathematical model of a partial differential equation, and then make the image change according to the partial differential equation, and finally achieve the desired effect. The results obtained by processing images with partial differential equations are beyond the reach of traditional methods.

The aim of this Special Issue is to bring together original research articles and review articles in the field of digital image processing (e.g., image filtering, restoration, segmentation, magnification, image enhancement, colour enhancement, etc.) based on partial differential equation methods. We highly encourage submissions discussing partial differential equation methods for digital image processing. Research can include image processing, signal and information processing, pattern recognition, applied mathematics, and equations of mathematical physics.

Potential topics include but are not limited to the following:

  • Nonlinear image enhancement method based on PDE
  • Application of PDE in image denoising
  • Image restoration based on PDE
  • Fuzzy video image processing based on PDE
  • Image segmentation algorithm based on PDE
  • Digital video repair method based on PDE
  • Image filtering based on PDE
  • Colour enhancement based on PDE
  • Image restoration based on PDE
  • Image magnification based on PDE
  • Pattern recognition based on PDE
  • Signal and information processing based on PDE

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 5108622
  • - Research Article

Fast Decomposition Algorithm Based on Two-Dimensional Wavelet Transform for Image Processing of Graphic Design

Feifei Jiang | Wenting Yao
  • Special Issue
  • - Volume 2021
  • - Article ID 8520633
  • - Research Article

Identification of Fuzzy Information in English Interpretation Based on the Digital Elevation Model

Bingjie Zhang | Yiming Liu
  • Special Issue
  • - Volume 2021
  • - Article ID 6014946
  • - Research Article

Image Retrieval Model Analysis of Digital Library Based on Texture Characteristics

Yu Zhao
  • Special Issue
  • - Volume 2021
  • - Article ID 8678853
  • - Research Article

Feature Extraction of Music Signal Based on Adaptive Wave Equation Inversion

Tianzhuo Gong | Sibing Sun
  • Special Issue
  • - Volume 2021
  • - Article ID 4784411
  • - Research Article

Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes

Wei Song | Guang Hu | ... | Zhenjie Zhu
  • Special Issue
  • - Volume 2021
  • - Article ID 5157197
  • - Research Article

Computer Simulation of Water Flow Animation Based on Two-Dimensional Navier-Stokes Equations

Rushi Cao | Ruyun Cao
  • Special Issue
  • - Volume 2021
  • - Article ID 2210953
  • - Research Article

Using Nonlinear Diffusion Model to Identify Music Signals

Qiang Li
  • Special Issue
  • - Volume 2021
  • - Article ID 1229660
  • - Research Article

Research on Image Recognition of Building Wall Design Defects Based on Partial Differential Equation

Xiwen Yu | Kai Wang | Shaoxuan Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6019523
  • - Research Article

Large-Scale Image Retrieval of Tourist Attractions Based on Multiple Linear Regression Equations

Yinping Song
  • Special Issue
  • - Volume 2021
  • - Article ID 3950445
  • - Research Article

Using Partial Differential Equation Face Recognition Model to Evaluate Students’ Attention in a College Chinese Classroom

Xia Miao | Ziyao Yu | Ming Liu
Advances in Mathematical Physics
 Journal metrics
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Acceptance rate16%
Submission to final decision138 days
Acceptance to publication22 days
CiteScore1.900
Journal Citation Indicator0.430
Impact Factor1.2
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