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Several computer vision applications like vehicle license plate recognition, captcha recognition, printed or handwriting character recognition from images etc., text polarity detection and binarization are the important preprocessing tasks.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Narendra Singh Yadav , Pavan Kumar Perepu

This report presents the results of a sky detection technique used to improve the performance of a previously developed partial differential equation (PDE)-based hazy image enhancement algorithm. Additionally, a proposed alternative method…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Uche A. Nnolim

THis work is a survey of a few nonlinear PDE based models in image restoring.

Analysis of PDEs · Mathematics 2014-10-15 Viorel Barbu

This paper introduces PDEformer, a neural solver for partial differential equations (PDEs) capable of simultaneously addressing various types of PDEs. We propose to represent the PDE in the form of a computational graph, facilitating the…

Numerical Analysis · Mathematics 2025-01-28 Zhanhong Ye , Xiang Huang , Leheng Chen , Hongsheng Liu , Zidong Wang , Bin Dong

Partial differential equations have recently garnered substantial attention as an image processing framework due to their extensibility, the ability to rigorously engineer and analyse the governing dynamics as well as the ease of…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 B. A. Jacobs

High-quality dehazing performance is highly dependent upon the accurate estimation of transmission map. In this work, the coarse estimation version is first obtained by weightedly fusing two different transmission maps, which are generated…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Qiaoling Shu , Chuansheng Wu , Zhe Xiao , Ryan Wen Liu

We consider the problem of binary image generation with given properties. This problem arises in a number of practical applications, including generation of artificial porous medium for an electrode of lithium-ion batteries, for composed…

Computer Vision and Pattern Recognition · Computer Science 2018-02-27 Svyatoslav Korneev , Nina Narodytska , Luca Pulina , Armando Tacchella , Nikolaj Bjorner , Mooly Sagiv

Low-light image enhancement (LLIE) techniques attempt to increase the visibility of images captured in low-light scenarios. However, as a result of enhancement, a variety of image degradations such as noise and color bias are revealed.…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Savvas Panagiotou , Anna S. Bosman

Machine learning based partial differential equations (PDEs) solvers have received great attention in recent years. Most progress in this area has been driven by deep neural networks such as physics-informed neural networks (PINNs) and…

Numerical Analysis · Mathematics 2025-09-23 Chunyang Liao

We consider an image decomposition model involving a variational (minimization) problem and an evolutionary partial differential equation (PDE). We utilize a linear inhomogenuous diffusion constrained and weighted total variation (TV)…

Computer Vision and Pattern Recognition · Computer Science 2015-05-06 Juan C. Moreno , V. B. Surya Prasath , D. Vorotnikov , H. Proenca , K. Palaniappan

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…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Karrar Abbas , Xianping Li

This work presents a physics-conditioned latent diffusion model tailored for dynamical downscaling of atmospheric data, with a focus on reconstructing high-resolution 2-m temperature fields. Building upon a pre-existing diffusion…

Machine Learning · Computer Science 2025-10-29 Paul Rosu , Muchang Bahng , Erick Jiang , Rico Zhu , Vahid Tarokh

Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowledge of the behaviour of natural and engineered systems. In…

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…

Numerical Analysis · Mathematics 2025-05-14 Maria Vasilyeva , Aleksei Krasnikov , Kelum Gajamannage , Mehrube Mehrubeoglu

Numerous methods have been proposed to transform color and grayscale images to their single bit-per-pixel binary counterparts. Commonly, the goal is to enhance specific attributes of the original image to make it more amenable for analysis.…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Shumeet Baluja

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…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Seema K. Poudel , Sunny K. Khadka

This paper surveys and discusses recent work adapting partial differential equation (PDE) models to discrete structures.

Discrete Mathematics · Computer Science 2015-05-04 Justin Solomon

Image binarization is the process of separation of pixel values into two groups, white as background and black as foreground. Thresholding plays a major in binarization of images. Thresholding can be categorized into global thresholding and…

Computer Vision and Pattern Recognition · Computer Science 2012-01-26 T. Romen Singh , Sudipta Roy , O. Imocha Singh , Tejmani Sinam , Kh. Manglem Singh

Contrast enhancement is an important area of research for the image analysis. Over the decade, the researcher worked on this domain to develop an efficient and adequate algorithm. The proposed method will enhance the contrast of image using…

Multimedia · Computer Science 2012-05-08 Aroop Mukherjee , Soumen Kanrar

Partial differential equation (PDE) models are widely used in engineering and natural sciences to describe spatio-temporal processes. The parameters of the considered processes are often unknown and have to be estimated from experimental…

Numerical Analysis · Mathematics 2016-12-21 Romana Boiger , Jan Hasenauer , Sabrina Hross , Barbara Kaltenbacher