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This report presents the results of a PDE-based binarization model for degraded document images. The model utilizes an edge and binary source term in its formulation. Results indicate effectiveness for document images with bleed-through and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-11 Uche A. Nnolim

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…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Uche A. Nnolim

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…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Uche A. Nnolim

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…

Numerical Analysis · Mathematics 2019-08-08 Subit K. Jain , Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

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…

Numerical Analysis · Mathematics 2019-07-12 Sílvia Barbeiro , Diogo Lobo

Partial Differential Equations (PDEs) have long been recognized as powerful tools for image processing and analysis, providing a framework to model and exploit structural and geometric properties inherent in visual data. Over the years,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Alejandro Garnung Menéndez

Document image binarization is the initial step and a crucial in many document analysis and recognition scheme. In fact, it is still a relevant research subject and a fundamental challenge due to its importance and influence. This paper…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Omar Boudraa , Walid Khaled Hidouci , Dominique Michelucci

In this paper we present a fully trainable binarization solution for degraded document images. Unlike previous attempts that often used simple features with a series of pre- and post-processing, our solution encodes all heuristics about…

Computer Vision and Pattern Recognition · Computer Science 2015-05-05 Yue Wu , Stephen Rawls , Wael AbdAlmageed , Premkumar Natarajan

Document image binarization is often a challenging task due to various forms of degradation. Although there exist several binarization techniques in literature, the binarized image is typically sensitive to control parameter settings of the…

Information Retrieval · Computer Science 2018-02-22 Ekta Vats , Anders Hast , Prashant Singh

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…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Manish Kumar , Rajendra K. Ray

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…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Liubing Hu , Pu Wang , Guangwei Gao , Chunyan Wang , Zhuoran Zheng

Partial differential equations (PDEs) are typically used as models of physical processes but are also of great interest in PDE-based image processing. However, when it comes to their use in imaging, conventional numerical methods for…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Pascal Tom Getreuer , Peyman Milanfar , Xiyang Luo

Binarization of degraded document images is an elementary step in most of the problems in document image analysis domain. The paper re-visits the binarization problem by introducing an adversarial learning approach. We construct a Texture…

Computer Vision and Pattern Recognition · Computer Science 2019-05-02 Ankan Kumar Bhunia , Ayan Kumar Bhunia , Aneeshan Sain , Partha Pratim Roy

Document image has been the area of research for a couple of decades because of its potential application in the area of text recognition, line recognition or any other shape recognition from the image. For most of these purposes…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 Mahua Nandy , Satadal Saha

How to effectively remove the noise while preserving the image structure features is a challenging issue in the field of image denoising. In recent years, fractional PDE based methods have attracted more and more research efforts due to the…

Numerical Analysis · Mathematics 2021-05-11 Maoyuan Xu , Xiaoping Xie

Texture analysis is an important field of investigation that has received a great deal of interest from computer vision community. In this paper, we propose a novel approach for texture modeling based on partial differential equation (PDE).…

Computer Vision and Pattern Recognition · Computer Science 2012-01-20 Bruno Brandoli Machado , Wesley Nunes Gonçalves , Odemir Martinez Bruno

This paper presents a robust regression approach for image binarization under significant background variations and observation noises. The work is motivated by the need of identifying foreground regions in noisy microscopic image or…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Garret Vo , Chiwoo Park

The experimental results of improved underwater image enhancement algorithms based on partial differential equations (PDEs) are presented in this report. This second work extends the study of previous work and incorporating several…

Computer Vision and Pattern Recognition · Computer Science 2017-05-12 U. A. Nnolim

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…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Chongyang Zhang , Weiyao Lin , Wei Li , Bing Zhou , Jun Xie , Jijia Li

The numerical solution methods for partial differential equation (PDE) solution allow obtaining a discrete field that converges towards the solution if the method is applied to the correct problem. Nevertheless, the numerical methods…

Numerical Analysis · Mathematics 2021-03-04 Alexander Hvatov
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