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  1. No Access

    Article

    Truncated loss-based Res2Net for non-Gaussian noise removal

    Many current image denoising works focus on Gaussian noise removal. However, in many real-life applications, the noise in an image can follow non-Gaussian distributions, such as compressed speckle noise, salt-...

    Li Cheng, Zhichang Guo, Yao Li, Yuming **ng in Signal, Image and Video Processing (2024)

  2. No Access

    Article

    Re-initialization-Free Level Set Method via Molecular Beam Epitaxy Equation Regularization for Image Segmentation

    Variational level set method has become a powerful tool in image segmentation due to its ability to handle complex topological changes and maintain continuity and smoothness in the process of evolution. Howeve...

    Fanghui Song, Jiebao Sun, Shengzhu Shi in Journal of Mathematical Imaging and Vision (2024)

  3. No Access

    Article

    A Diffusion Equation for Improving the Robustness of Deep Learning Speckle Removal Model

    Speckle removal aims to smooth noise while preserving image boundaries and texture information. In recent years, speckle removal models based on deep learning methods have attracted a lot of attention. However...

    Li Cheng, Yuming **ng, Yao Li, Zhichang Guo in Journal of Mathematical Imaging and Vision (2024)

  4. No Access

    Article

    Non-Gaussian Noise Removal via Gaussian Denoisers with the Gray Level Indicator

    This paper focuses on the problem of image restoration under non-Gaussian noise. Various gray level indicators have been proposed as effective tools for removing different types of non-Gaussian noise in the di...

    Kehan Shi, Zhichang Guo in Journal of Mathematical Imaging and Vision (2023)

  5. No Access

    Article

    A Ginzburg-Landau- \({H}^{-1}\) Model and Its SAV Algorithm for Image Inpainting

    Image inpainting models and the corresponding numerical algorithms play key roles in image processing. At present, the visual output of the oscillatory inpainting area is usually not natural. In this paper, we...

    **angyu Bai, Jiebao Sun, Jie Shen, Wenjuan Yao in Journal of Scientific Computing (2023)

  6. No Access

    Article

    Nonlocal Adaptive Biharmonic Regularizer for Image Restoration

    In this paper, we propose a nonlocal adaptive biharmonic regularization term for image restoration, combining the advantages of fourth-order models (preserving slopes) and nonlocal methods (preserving textures...

    Ying Wen, Luminita A. Vese, Kehan Shi in Journal of Mathematical Imaging and Vision (2023)

  7. No Access

    Chapter and Conference Paper

    Research on Neural Network Defense Problem Based on Random Noise Injection

    Because neural network is a data-driven black box model, people cannot directly understand its decision basis, and once the neural network is constructed with adversarial samples, it can lead to wrong conclusi...

    Juan Kang, Enzhe Zhao, Zhichang Guo in Proceedings of the Seventh International S… (2023)

  8. No Access

    Chapter and Conference Paper

    Research on Video Pedestrian Tracking Based on the Combination of Optical Flow Method and Target Tracking Network

    Target tracking is designed to predict the position of a given target in each video frame, and it has a wide range of applications in the fields of robot vision, video surveillance, and unmanned driving. This ...

    Enzhe Zhao, Dazhi Zhang, Yao Li, Yuying Guo in Proceedings of the Seventh International S… (2023)

  9. No Access

    Article

    A novel low-light enhancement via fractional-order and low-rank regularized retinex model

    Most of existing low-light image enhancement approaches either fail to consider fine parts of the image or fail to consider intensive noise. To overcome these drawbacks, this paper proposes a new model called ...

    Bao Chen, Zhichang Guo, Wenjuan Yao, **aohua Ding in Computational and Applied Mathematics (2022)

  10. No Access

    Article

    Fractional-order diffusion model for multiplicative noise removal in texture-rich images and its fast explicit diffusion solving

    In this paper, we propose a fractional-order anisotropic diffusion model based on fractional Fick’s law for multiplicative noise removal in texture-rich images. A fast explicit diffusion solving algorithm is c...

    **ujie Shan, Jiebao Sun, Zhichang Guo, Wenjuan Yao in BIT Numerical Mathematics (2022)

  11. No Access

    Article

    Image Multiplicative Denoising Using Adaptive Euler’s Elastica as the Regularization

    Variational models involving Euler’s elastica energy have been widely used in many fields of digital image processing, such as image inpainting and additive Gaussian noise removal. In this paper, according to ...

    Yu Zhang, Songsong Li, Zhichang Guo, Boying Wu, Shan Du in Journal of Scientific Computing (2022)

  12. No Access

    Article

    A Total Fractional-Order Variation Model for Image Super-Resolution and Its SAV Algorithm

    Single-image super-resolution reconstruction aims to obtain a high-resolution image from a low-resolution image. Since the super-resolution problem is ill-posed, it is common to use a regularization technique....

    Wenjuan Yao, Jie Shen, Zhichang Guo, Jiebao Sun in Journal of Scientific Computing (2020)

  13. No Access

    Chapter and Conference Paper

    PBFT Consensus Performance Optimization Method for Fusing C4.5 Decision Tree in Blockchain

    Data management methods using blockchain have the advantages of being traceable and not easy to tamper. Therefore, blockchain is widely used in supply chain finance, credit reporting and other fields. However,...

    Zhihong Liang, Yuxiang Huang, Zhichang Guo, Qi Liu in Blockchain and Trustworthy Systems (2020)

  14. No Access

    Article

    Multiplicative Noise Removal Based on the Smooth Diffusion Equation

    The multiplicative noise removal problem is of momentous significance in various image processing applications. In this paper, a nonlinear diffusion equation with smooth solution is proposed to remove multipli...

    **ujie Shan, Jiebao Sun, Zhichang Guo in Journal of Mathematical Imaging and Vision (2019)

  15. Article

    Open Access

    Periodic boundary value problems for two classes of nonlinear fractional differential equations

    By using the coincidence degree theorem, we obtain a new result on the existence of solutions for a class of fractional differential equations with periodic boundary value conditions, where a certain nonlinear...

    Wenjuan Yao, Zhichang Guo, Jiebao Sun in Boundary Value Problems (2018)

  16. No Access

    Article

    A Nonlinear Diffusion Equation-Based Model for Ultrasound Speckle Noise Removal

    Ultrasound images are contaminated by speckle noise, which brings difficulties in further image analysis and clinical diagnosis. In this paper, we address this problem in the view of nonlinear diffusion equati...

    Zhenyu Zhou, Zhichang Guo, Dazhi Zhang, Boying Wu in Journal of Nonlinear Science (2018)

  17. No Access

    Article

    Salt-and-Pepper Noise Removal via Local Hölder Seminorm and Nonlocal Operator for Natural and Texture Image

    Utilizing local Hölder seminorm and nonlocal operator, we propose two efficient salt-and-pepper noise removal algorithms in this paper. We first minimize a local Hölder seminorm based functional which has a gr...

    Kehan Shi, Zhichang Guo, Gang Dong in Journal of Mathematical Imaging and Vision (2015)

  18. Article

    Open Access

    A new model for segmentation of gray-scale and color images

    In this paper, we propose a new model for segmentation of both gray-scale and color images. This model is inspired by the GAC model, the region-scalable fitting model, the weighted bounded variation model and ...

    Dazhi Zhang, Jiebao Sun, Zhichang Guo in Journal of Inequalities and Applications (2013)

  19. Article

    Open Access

    Intercomparison and analyses of the climatology of the West African Monsoon in the West African Monsoon Modeling and Evaluation project (WAMME) first model intercomparison experiment

    This paper briefly presents the West African Monsoon (WAM) Modeling and Evaluation Project (WAMME) and evaluates WAMME general circulation models’ (GCM) performances in simulating variability of WAM precipitat...

    Yongkang Xue, Fernando De Sales, W. K.-M. Lau, Aaron Boone in Climate Dynamics (2010)