Boying Wu
YOU?
Author Swipe
View article: A class of thin-film equations with space-time dependent gradient nonlinearity and its application to image sharpening
A class of thin-film equations with space-time dependent gradient nonlinearity and its application to image sharpening Open
We introduce a class of thin-film equations with space-time dependent gradient nonlinearity and apply them to image sharpening. By modifying the potential well method, we overcome the challenges arising from variable exponents and the "mov…
View article: Adversarial Transferability in Deep Denoising Models: Theoretical Insights and Robustness Enhancement via Out-of-Distribution Typical Set Sampling
Adversarial Transferability in Deep Denoising Models: Theoretical Insights and Robustness Enhancement via Out-of-Distribution Typical Set Sampling Open
Deep learning-based image denoising models demonstrate remarkable performance, but their lack of robustness analysis remains a significant concern. A major issue is that these models are susceptible to adversarial attacks, where small, car…
View article: A Tunable Despeckling Neural Network Stabilized via Diffusion Equation
A Tunable Despeckling Neural Network Stabilized via Diffusion Equation Open
The removal of multiplicative Gamma noise is a critical research area in the application of synthetic aperture radar (SAR) imaging, where neural networks serve as a potent tool. However, real-world data often diverges from theoretical mode…
View article: On a nonlinear nonlocal reaction-diffusion system applied to image restoration
On a nonlinear nonlocal reaction-diffusion system applied to image restoration Open
This paper deals with a novel nonlinear coupled nonlocal reaction-diffusion system proposed for image restoration, characterized by the advantages of preserving low gray level features and textures.The gray level indicator in the proposed …
View article: A meshless method based on the Laplace transform for multi-term time-space fractional diffusion equation
A meshless method based on the Laplace transform for multi-term time-space fractional diffusion equation Open
Multi-term fractional diffusion equations can be regarded as a generalisation of fractional diffusion equations. In this paper, we develop an efficient meshless method for solving the multi-term time-space fractional diffusion equation. Fi…
View article: Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal
Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal Open
In this paper, we study a class of fractional $1$-Laplacian diffusion equations with variable orders, proposed as a model for multiplicative noise removal. The existence and uniqueness of the weak solution are proven. To overcome the diffi…
View article: PINNsFailureRegion Localization and Refinement through White-box AdversarialAttack
PINNsFailureRegion Localization and Refinement through White-box AdversarialAttack Open
Physics-informed neural networks (PINNs) have shown great promise in solving partial differential equations (PDEs). However, vanilla PINNs often face challenges when solving complex PDEs, especially those involving multi-scale behaviors or…
View article: Image Enhancement Model Based on Fractional Time-Delay and Diffusion Tensor
Image Enhancement Model Based on Fractional Time-Delay and Diffusion Tensor Open
Image enhancement is one of the bases of image processing technology, which can enhance useful features and suppress useless information of images according to the specified task. In order to ensure coherent enhancement for images with ori…
View article: Multiplicative Noise Removal and Contrast Enhancement for SAR Images Based on a Total Fractional-Order Variation Model
Multiplicative Noise Removal and Contrast Enhancement for SAR Images Based on a Total Fractional-Order Variation Model Open
In this paper, we propose a total fractional-order variation model for multiplicative noise removal and contrast enhancement of real SAR images. Inspired by the high dynamic intensity range of SAR images, the full content of the SAR images…
View article: A numerical method for solving the space fractional Navier-Stokes equations
A numerical method for solving the space fractional Navier-Stokes equations Open
In this work, bases on the reproducing kernel theory and collocation method, we study the space Riesz fractional Navier-Stokes equations, and propose the numerical method to solve it. Firstly the new base space can be constructed by the sp…
View article: A colorization-based anisotropic variational model for vector-valued image compression
A colorization-based anisotropic variational model for vector-valued image compression Open
Image compression is an important technology in digital image processing. In this paper, a novel colorization-based codec for vector-valued images is proposed. In compression, we first define the concept of 'structure image', which contain…
View article: Learning Spacial Domain Infectious Disease Control Model for Vaccine Distribution by Physics-Constraint Machine Learning
Learning Spacial Domain Infectious Disease Control Model for Vaccine Distribution by Physics-Constraint Machine Learning Open
The coronavirus disease, COVID-19, has become a global challenging pandemic. Causing significant loss of life, property, and economics worldwide. The study of infectious disease models allows us to have a deeper understand of spreading tre…
View article: Learning High-Order Geometric Flow Based on The Level Set Method
Learning High-Order Geometric Flow Based on The Level Set Method Open
Recently, the development of deep learning (DL), which has accomplished unbelievable success in many fields, especially in scientific computational fields. And almost all computational problems and physical phenomena can be described by pa…
View article: A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal
A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal Open
This paper focuses on the problem of noise removal. First, we propose a new convex–nonconvex variation model for noise removal and consider the nonexistence of solutions of the variation model. Based on the new variation method, we propose…
View article: Entropy solutions for an adaptive fourth-order nonlinear degenerate problem for noise removal
Entropy solutions for an adaptive fourth-order nonlinear degenerate problem for noise removal Open
Noise is regarded as an unavoidable component of digital image acquisition. Hence, noise removal has been considered as one of the fundamental tasks in the field of image processing. Accordingly, excellent results have been achieved by usi…
View article: An adaptive total variational despeckling model based on gray level indicator frame
An adaptive total variational despeckling model based on gray level indicator frame Open
For the characteristics of the degraded images with multiplicative noise, the gray level indicators for constructing adaptive total variation are proposed. Based on the new regularization term, we propose the new convex adaptive variationa…
View article: Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations
Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations Open
This paper investigates superconvergence properties of the local discontinuous Galerkin methods with generalized alternating fluxes for one-dimensional linear convection-diffusion equations. By the technique of constructing some special co…
View article: A New and Fast Bias Correction and Segmentation Model with Application to Human Brain MR Images
A New and Fast Bias Correction and Segmentation Model with Application to Human Brain MR Images Open
Magnetic resonance (MR) images have been used in detecting human brain disease more and more in recent years. The most important problem in the diagnose process is to find accurate regions, which makes image segmentation necessary and impo…
View article: Nonlinear fractional diffusion model for deblurring images with textures
Nonlinear fractional diffusion model for deblurring images with textures Open
It is a long-standing problem to preserve fine scale features such as texture in the process of deblurring. In order to deal with this challenging but imperative issue, we establish a framework of nonlinear fractional diffusion equations, …
View article: A Generalized-Jacobi-Function Spectral Method for Space-Time Fractional Reaction-Diffusion Equations with Viscosity Terms
A Generalized-Jacobi-Function Spectral Method for Space-Time Fractional Reaction-Diffusion Equations with Viscosity Terms Open
In this work, we study a new spectral Petrov-Galerkin approximation of space-time fractional reaction-diffusion equations with viscosity terms built by Riemann-Liouville fractional-order derivatives. The proposed method is reliant on gener…
View article: Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis
Bifurcation analysis of a diffusion-ODE model with Turing instability and hysteresis Open
This paper is devoted to the existence and (in)stability of nonconstant\nsteady-states in a system of a semilinear parabolic equation coupled to an ODE, which\nis a simplified version of a receptor-ligand model of pattern formation. In the…
View article: Global existence of solutions to an attraction-repulsion chemotaxis model with growth
Global existence of solutions to an attraction-repulsion chemotaxis model with growth Open
An attraction-repulsion chemotaxis model with nonlinear chemotactic sensitivity functions and growth source is considered. The global-in-time existence and boundedness of solutions are proved under some conditions on the nonlinear sensitiv…