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Advances, Systems and Applications

Table 1 Summary of related work

From: Enhancement of damaged-image prediction based on digital twin technology

Reference

Model

Application

Key contributions

Gillette and Bertozzi (2007) [6]

Cahn-Hilliard equation model

Binary image restoration

Added fidelity item based on CH equation for binary image restoration

Burger (2009) [7]

\(TV-H^{-1}\) model

Grayscale image restoration

Removed free energy term in CH model for grayscale image restoration

Kim (2019) [8]

CH equation

Image with broken stripes restoration

Introduced preprocessing method using anisotropic diffusion equation before solving CH equation

Zou (2021) [9]

Perona-Malik equation and CH equation

Image restoration at boundary

Combined nonlinear diffusion coefficient and CH equation for smooth repair effect at the boundary

Carrillo et al. (2021) [14]

CH model as preprocessor

Neural network image recognition

Improved recognition accuracy of damaged data using CH model as preprocessor

This paper

Second-order numerical scheme based on the convex decomposition method

Image restoration

Proposed a time-based second-order numerical scheme for better restoration effect and improved prediction accuracy of the neural network model