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This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Shota Saito , Yuta Nakahara , Kohei Horinouchi , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

In this paper, a new iterative two-level algorithm is presented for solving the finite element discretization for nonsymmetric or indefinite elliptic problems. The iterative two-level algorithm uses the same coarse space as the traditional…

Numerical Analysis · Mathematics 2023-01-05 Ming Tang , Xiaoqing Xing , Ying Yang , Liuqiang Zhong

Under challenging light conditions, captured images often suffer from various degradations, leading to a decline in the performance of vision-based applications. Although numerous methods have been proposed to enhance image quality, they…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Jing Tao , You Li , Banglei Guan , Yang Shang , Qifeng Yu

Haze removal is important for computational photography and computer vision applications. However, most of the existing methods for dehazing are designed for daytime images, and cannot always work well in the nighttime. Different from the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Jing Zhang , Yang Cao , Zengfu Wang

We present a lightweight two-stage framework for low-light image enhancement (LLIE) that achieves competitive perceptual quality with significantly fewer parameters than existing methods. Our approach combines frozen algorithm-based…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Shimon Murai , Teppei Kurita , Ryuta Satoh , Yusuke Moriuchi

Subspace recycling techniques have been used quite successfully for the acceleration of iterative methods for solving large-scale linear systems. These methods often work by augmenting a solution subspace generated iteratively by a known…

Numerical Analysis · Mathematics 2021-05-18 Ronny Ramlau , Kirk M. Soodhalter , Victoria Hutterer

The quadratic penalty alternating minimization (AM) method is widely used for solving the convex $\ell_1$ total variation (TV) image deblurring problem. However, quadratic penalty AM for solving the nonconvex nonsmooth $\ell_p$, $0 < p < 1$…

Optimization and Control · Mathematics 2023-09-12 Tarmizi Adam , Alexander Malyshev , Mohd Fikree Hassan , Nur Syarafina Mohamed , Md Sah Hj Salam

Iterative methods based on matrix splittings are useful in solving large sparse linear systems. In this direction, proper splittings and its several extensions are used to deal with singular and rectangular linear systems. In this article,…

Numerical Analysis · Mathematics 2019-07-08 Ashish Kumar Nandi , Jajati Keshari Sahoo , Debasisha Mishra

Maritime images captured under low-light imaging condition easily suffer from low visibility and unexpected noise, leading to negative effects on maritime traffic supervision and management. To promote imaging performance, it is necessary…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Yu Guo , Yuxu Lu , Ryan Wen Liu , Meifang Yang , Kwok Tai Chui

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

Deep learning-based low-light image enhancers have made significant progress in recent years, with a trend towards achieving satisfactory visual quality while gradually reducing the number of parameters and improving computational…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Nan An , Long Ma , Guangchao Han , Xin Fan , RIsheng Liu

Imaging through dense fog presents unique challenges, with essential visual information crucial for applications like object detection and recognition obscured, thereby hindering conventional image processing methods. Despite improvements…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Libang Chen , Jinyan Lin , Qihang Bian , Yikun Liu , Jianying Zhou

This paper presents our approach to the NTIRE 2026 3D Restoration and Reconstruction Challenge (Track 1), which focuses on reconstructing high-quality 3D representations from degraded multi-view inputs. The challenge involves recovering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yuhao Liu , Dingju Wang , Ziyang Zheng

In this paper, we tackle the problem of enhancing real-world low-light images with significant noise in an unsupervised fashion. Conventional unsupervised learning-based approaches usually tackle the low-light image enhancement problem…

Image and Video Processing · Electrical Eng. & Systems 2022-03-29 Wei Xiong , Ding Liu , Xiaohui Shen , Chen Fang , Jiebo Luo

We present a continuous/discontinuous Galerkin method for approximating solutions to a fourth order elliptic PDE on a surface embedded in $\mathbb{R}^3$. A priori error estimates, taking both the approximation of the surface and the…

Numerical Analysis · Mathematics 2017-06-23 Karl Larsson , Mats G. Larson

This paper deals with a novel nonlinear coupled nonlocal reaction-diffusion system proposed for image restoration, characterized by the advantages of preserving low gray level features and textures.The gray level indicator in the proposed…

Analysis of PDEs · Mathematics 2025-11-04 Yuhang Li , Zhichang Guo , Jingfeng Shao , Boying Wu

Illumination of scenes is usually generated in computer graphics using polygonal meshes. In this paper, we present a geometric method using projections. Starting from an implicit polynomial equation of a surface in 3-D or a curve in 2-D, we…

Computational Geometry · Computer Science 2026-04-03 Michal Zamboj , Jakub Řada

In this paper, we propose a novel scheme for scalable image coding based on the concept of epitome. An epitome can be seen as a factorized representation of an image. Focusing on spatial scalability, the enhancement layer of the proposed…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Martin Alain , Christine Guillemot , Dominique Thoreau , Philippe Guillotel

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the…

Computer Vision and Pattern Recognition · Computer Science 2010-01-06 E. Shaked , O. Michailovich

We propose a novel grayness index for finding gray pixels and demonstrate its effectiveness and efficiency in illumination estimation. The grayness index, GI in short, is derived using the Dichromatic Reflection Model and is learning-free.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Yanlin Qian , Joni-Kristian Kämäräinen , Jarno Nikkanen , Jiri Matas