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The proliferation of imaging devices and countless image data generated every day impose an increasingly high demand on efficient and effective image denoising. In this paper, we establish a theoretical connection between principal…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Zhaoming Kong , Xiaowei Yang , Jiahuan Zhang

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

This paper considers the problem of signal denoising using a sparse tight-frame analysis prior. The L1 norm has been extensively used as a regularizer to promote sparsity; however, it tends to under-estimate non-zero values of the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 Ankit Parekh , Ivan W. Selesnick

Diffusion models have garnered considerable interest in computer vision, owing both to their capacity to synthesize photorealistic images and to their proven effectiveness in image reconstruction tasks. However, existing approaches fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Jonas Dornbusch , Emanuel Pfarr , Florin-Alexandru Vasluianu , Frank Werner , Radu Timofte

Image dehazing is an important task in the field of computer vision, aiming at restoring clear and detail-rich visual content from haze-affected images. However, when dealing with complex scenes, existing methods often struggle to strike a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Shuaibin Fan , Senming Zhong , Wenchao Yan , Minglong Xue

Hyperspectral (HS) images provide fine spectral resolution but have limited spatial resolution, whereas multispectral (MS) images capture finer spatial details but have fewer bands. HS-MS fusion aims to integrate HS and MS images to…

Image and Video Processing · Electrical Eng. & Systems 2025-11-12 Sagar Kumar , Unni V S , Kunal Narayan Chaudhury

Models with dominant advection always posed a difficult challenge for projection-based reduced order modelling. Many methodologies that have recently been proposed are based on the pre-processing of the full-order solutions to accelerate…

Numerical Analysis · Mathematics 2022-03-02 Davide Papapicco , Nicola Demo , Michele Girfoglio , Giovanni Stabile , Gianluigi Rozza

We present a novel convex relaxation and a corresponding inference algorithm for the non-binary discrete tomography problem, that is, reconstructing discrete-valued images from few linear measurements. In contrast to state of the art…

Optimization and Control · Mathematics 2018-12-27 Jan Kuske , Paul Swoboda , Stefania Petra

Hyperspectral images (HSIs) are inevitably degraded by a mixture of various types of noise, such as Gaussian noise, impulse noise, stripe noise, and dead pixels, which greatly limits the subsequent applications. Although various denoising…

Image and Video Processing · Electrical Eng. & Systems 2024-01-12 Dongyi Li , Dong Chu , Xiaobin Guan , Wei He , Huanfeng Shen

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

Machine Learning · Computer Science 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

Image denoising (removal of additive white Gaussian noise from an image) is one of the oldest and most studied problems in image processing. An extensive work over several decades has led to thousands of papers on this subject, and to many…

Image and Video Processing · Electrical Eng. & Systems 2023-01-10 Michael Elad , Bahjat Kawar , Gregory Vaksman

Denoising by frame thresholding is one of the most basic and efficient methods for recovering a discrete signal or image from data that are corrupted by additive Gaussian white noise. The basic idea is to select a frame of analyzing…

Numerical Analysis · Mathematics 2015-01-21 Markus Haltmeier , Axel Munk

Most image deblurring methods assume an over-simplistic image formation model and as a result are sensitive to more realistic image degradations. We propose a novel variational framework, that explicitly handles pixel saturation, noise,…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Jérémy Anger , Mauricio Delbracio , Gabriele Facciolo

In this paper, we introduce a novel unsupervised video denoising deep learning approach that can help to mitigate data scarcity issues and shows robustness against different noise patterns, enhancing its broad applicability. Our method…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Mary Damilola Aiyetigbo , Dineshchandar Ravichandran , Reda Chalhoub , Peter Kalivas , Nianyi Li

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

Image and Video Processing · Electrical Eng. & Systems 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

1D Total Variation (TV) denoising, considering the data fidelity and the Total Variation (TV) regularization, proposes a good restored signal preserving shape edges. The main issue is how to choose the weight $\lambda$ balancing those two…

Signal Processing · Electrical Eng. & Systems 2020-12-18 Zhanhao Liu , Marion Perrodin , Thomas Chambrion , Radu Stoica

We present a method for supervised learning of sparsity-promoting regularizers for image denoising. Sparsity-promoting regularization is a key ingredient in solving modern image reconstruction problems; however, the operators underlying…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 Michael T. McCann , Saiprasad Ravishankar

This paper proposes an end-to-end deep learning framework integrating optical motion capture with a Transformer-based model to enhance medical rehabilitation. It tackles data noise and missing data caused by occlusion and environmental…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Yeming Cai , Yang Wang , Zhenglin Li

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

The recovery of images from the observations that are degraded by a linear operator and further corrupted by Poisson noise is an important task in modern imaging applications such as astronomical and biomedical ones. Gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Dai-Qiang Chen
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