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This paper introduces a novel partial differential equation (PDE) framework for single-image dehazing. We embed the atmospheric scattering model into a PDE featuring edge-preserving diffusion and a nonlocal operator to maintain both local…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Liubing Hu , Pu Wang , Guangwei Gao , Chunyan Wang , Zhuoran Zheng

In this study, a new coupled Partial Differential Equation (CPDE) based image denoising model incorporating space-time regularization into non-linear diffusion is proposed. This proposed model is fitted with additive Gaussian noise which…

数值分析 · 数学 2019-08-08 Subit K. Jain , Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

Image denoising and image segmentation play essential roles in image processing. Partial differential equations (PDE)-based methods have proven to show reliable results when incorporated in both denoising and segmentation of images. In our…

数值分析 · 数学 2025-09-03 Ksenia Slepova , Ivan Etoku Oiye , Martin B. van Gijzen

Inspired by the traditional partial differential equation (PDE) approach for image denoising, we propose a novel neural network architecture, referred as NODE-ImgNet, that combines neural ordinary differential equations (NODEs) with…

图像与视频处理 · 电气工程与系统科学 2023-11-07 Xinheng Xie , Yue Wu , Hao Ni , Cuiyu He

This paper presents an improved and modified partial differential equation (PDE)-based de-hazing algorithm. The proposed method combines logarithmic image processing models in a PDE formulation refined with linear filter-based operators in…

计算机视觉与模式识别 · 计算机科学 2025-02-25 Uche A. Nnolim

Image denoising is a fundamental problem in image processing whose primary objective is to remove the noise while preserving the original image structure. In this work, we proposed a new architecture for image denoising. We have used…

图像与视频处理 · 电气工程与系统科学 2019-03-25 Sutanu Bera , Avisek Lahiri , Prabir Kumar Biswas

Some recent methods for lossy signal and image compression store only a few selected pixels and fill in the missing structures by inpainting with a partial differential equation (PDE). Suitable operators include the Laplacian, the…

As the resolution of digital images increase significantly, the processing of images becomes more challenging in terms of accuracy and efficiency. In this paper, we consider image segmentation by solving a partial differentiation equation…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Karrar Abbas , Xianping Li

In recent years, partial differential equation (PDE) systems have been successfully applied to the binarization of text images, achieving promising results. Inspired by the DH model and incorporating a novel image modeling approach, this…

计算机视觉与模式识别 · 计算机科学 2025-03-12 Youjin Liu , Yu Wang

In this report, we present and compare the results of an improved fractional and integer order partial differential equation (PDE)-based binarization scheme. The improved model incorporates a diffusion term in addition to the edge and…

计算机视觉与模式识别 · 计算机科学 2021-11-24 Uche A. Nnolim

Partial Differential Equation (PDE)-based approaches have gained significant attention in image despeckling due to their strong capability to preserve structural details while suppressing noise. However, conventional second-order PDE models…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Manish Kumar , Rajendra K. Ray

We consider image denoising using a nonlinear diffusion process, where we solve unsteady partial differential equations with nonlinear coefficients. The noised image is given as an initial condition, and nonlinear coefficients are used to…

Image denoising is a well-known and well studied problem, commonly targeting a minimization of the mean squared error (MSE) between the outcome and the original image. Unfortunately, especially for severe noise levels, such Minimum MSE…

图像与视频处理 · 电气工程与系统科学 2021-09-01 Bahjat Kawar , Gregory Vaksman , Michael Elad

In this paper we introduce and study a new feature-preserving nonlinear anisotropic diffusion for denoising signals. The proposed partial differential equation is based on a novel diffusivity coefficient that uses a nonlocal automatically…

偏微分方程分析 · 数学 2019-07-23 Giacomo Aletti , Monica Moroni , Giovanni Naldi

We study an adaptive anisotropic Huber functional based image restoration scheme. By using a combination of L2-L1 regularization functions, an adaptive Huber functional based energy minimization model provides denoising with edge…

计算机视觉与模式识别 · 计算机科学 2017-11-22 V. B. S. Prasath , Juan C. Moreno

Feature-preserving mesh denoising has received noticeable attention in visual media, with the aim of recovering high-fidelity, clean mesh shapes from the ones that are contaminated by noise. Existing denoising methods often design smaller…

图形学 · 计算机科学 2023-04-04 Weijia Wang , Wei Pan , Chaofan Dai , Richard Dazeley , Lei Wei , Bernard Rolfe , Xuequan Lu

Image deblurring techniques play important roles in many image processing applications. As the blur varies spatially across the image plane, it calls for robust and effective methods to deal with the spatially-variant blur problem. In this…

计算机视觉与模式识别 · 计算机科学 2015-03-03 Chongyang Zhang , Weiyao Lin , Wei Li , Bing Zhou , Jun Xie , Jijia Li

In this paper we focus on learning optimized partial differential equation (PDE) models for image filtering. In this approach, the grey-scaled images are represented by a vector field of two real-valued functions and the image restoration…

数值分析 · 数学 2019-07-12 Sílvia Barbeiro , Diogo Lobo

Image denoising stands as a critical challenge in image processing and computer vision, aiming to restore the original image from noise-affected versions caused by various intrinsic and extrinsic factors. This process is essential for…

图像与视频处理 · 电气工程与系统科学 2024-03-19 Peter Luvton , Alfredo Castillejos , Jim Zhao , Christina Chajo

Segmentation of microscopy images constitutes an ill-posed inverse problem due to measurement noise, weak object boundaries, and limited labeled data. Although deep neural networks provide flexible nonparametric estimators, unconstrained…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Seema K. Poudel , Sunny K. Khadka
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