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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…

Numerical Analysis · Mathematics 2025-09-03 Ksenia Slepova , Ivan Etoku Oiye , Martin B. van Gijzen

Painterly image harmonization aims to insert photographic objects into paintings and obtain artistically coherent composite images. Previous methods for this task mainly rely on inference optimization or generative adversarial network, but…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Lingxiao Lu , Jiangtong Li , Junyan Cao , Li Niu , Liqing Zhang

Binarization of digital documents is the task of classifying each pixel in an image of the document as belonging to the background (parchment/paper) or foreground (text/ink). Historical documents are often subjected to degradations, that…

Machine Learning · Statistics 2018-05-18 Kalyan Ram Ayyalasomayajula , Filip Malmberg , Anders Brun

This report presents the results of a partial differential equation (PDE)-based image enhancement algorithm, for dynamic range compression and illumination correction in the absence of the logarithmic function. The proposed algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-01-23 U. A. Nnolim

Image binarization techniques are being popularly used in enhancement of noisy and/or degraded images catering different Document Image Anlaysis (DIA) applications like word spotting, document retrieval, and OCR. Most of the existing…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Bulla Rajesh , Manav Kamlesh Agrawal , Milan Bhuva , Kisalaya Kishore , Mohammed Javed

Historical Document Image Binarization is a well-known segmentation problem in image processing. Despite ubiquity, traditional thresholding algorithms achieved limited success on severely degraded document images. With the advent of deep…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Avirup Dey , Nibaran Das , Mita Nasipuri

A novel method to convert color/multi-spectral images to gray-level images is introduced to increase the performance of document binarization methods. The method uses the distribution of the pixel data of the input document image in a color…

Computer Vision and Pattern Recognition · Computer Science 2013-06-27 Reza Farrahi Moghaddam , Shaohua Chen , Rachid Hedjam , Mohamed Cheriet

Binarization plays a key role in the automatic information retrieval from document images. This process is usually performed in the first stages of documents analysis systems, and serves as a basis for subsequent steps. Hence it has to be…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Jorge Calvo-Zaragoza , Antonio-Javier Gallego

Binarization of document images is an important pre-processing step in the field of document analysis. Traditional image binarization techniques usually rely on histograms or local statistics to identify a valid threshold to differentiate…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Richin Sukesh , Mathias Seuret , Anguelos Nicolaou , Martin Mayr , Vincent Christlein

This paper develops a probabilistic numerical method for solution of partial differential equations (PDEs) and studies application of that method to PDE-constrained inverse problems. This approach enables the solution of challenging inverse…

Methodology · Statistics 2017-07-12 Jon Cockayne , Chris Oates , Tim Sullivan , Mark Girolami

Image segmentation is one of the principal approaches of image processing. The choice of the most appropriate Binarization algorithm for each case proved to be a very interesting procedure itself. In this paper, we have done the comparison…

Computer Vision and Pattern Recognition · Computer Science 2011-11-22 Aroop Mukherjee , Soumen Kanrar

Document image enhancement and binarization methods are often used to improve the accuracy and efficiency of document image analysis tasks such as text recognition. Traditional non-machine-learning methods are constructed on low-level…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Sungho Suh , Jihun Kim , Paul Lukowicz , Yong Oh Lee

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…

Image and Video Processing · Electrical Eng. & Systems 2023-11-07 Xinheng Xie , Yue Wu , Hao Ni , Cuiyu He

Image foreground extraction is a classical problem in image processing and vision, with a large range of applications. In this dissertation, we focus on the extraction of text and graphics in mixed-content images, and design novel…

Computer Vision and Pattern Recognition · Computer Science 2018-04-10 Shervin Minaee

A unified method for extracting geometric shape features from binary image data using a steady state partial differential equation (PDE) system as a boundary value problem is presented in this paper. The PDE and functions are formulated to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Takayuki Yamada

Text binarisation process classifies individual pixels as text or background in the textual images. Binarization is necessary to bridge the gap between localization and recognition by OCR. This paper presents Sliding window method to…

Computer Vision and Pattern Recognition · Computer Science 2010-03-19 Chitrakala Gopalan , D. Manjula

This report describes the experimental analysis of proposed underwater image enhancement algorithms based on partial differential equations (PDEs). The algorithms perform simultaneous smoothing and enhancement due to the combination of both…

Computer Vision and Pattern Recognition · Computer Science 2016-12-15 U. A. Nnolim

Sparse decomposition has been widely used for different applications, such as source separation, image classification, image denoising and more. This paper presents a new algorithm for segmentation of an image into background and foreground…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Shervin Minaee , Yao Wang

Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of…

Machine Learning · Computer Science 2018-12-12 Lars Ruthotto , Eldad Haber

The estimation of distributed parameters in partial differential equations (PDE) from measures of the solution of the PDE may lead to under-determination problems. The choice of a parameterization is a usual way of adding a-priori…

Numerical Analysis · Mathematics 2008-01-16 Hend Ben Ameur , François Clément , Pierre Weis , Guy Chavent