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Related papers: Tensor Deblurring and Denoising Using Total Variat…

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We study the theoretical properties of image denoising via total variation penalized least-squares. We define the total vatiation in terms of the two-dimensional total discrete derivative of the image and show that it gives rise to denoised…

Statistics Theory · Mathematics 2021-01-27 Francesco Ortelli , Sara van de Geer

Video Denoising is one of the fundamental tasks of any videoprocessing pipeline. It is different from image denoising due to the tem-poral aspects of video frames, and any image denoising approach appliedto videos will result in flickering.…

Image and Video Processing · Electrical Eng. & Systems 2020-08-28 Aryansh Omray , Samyak Jain , Utsav Krishnan , Pratik Chattopadhyay

This paper considers the constrained total variation (TV) denoising problem for complex-valued images. We extend the definition of TV seminorms for real-valued images to dealing with complex-valued ones. In particular, we introduce two…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Yunhui Gao , Liangcai Cao

A polarization camera can capture four linear polarized images with different polarizer angles in a single shot, which is useful in polarization-based vision applications since the degree of linear polarization (DoLP) and the angle of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Chu Zhou , Minggui Teng , Xinyu Zhou , Chao Xu , Imari Sato , Boxin Shi

Variational regularization of ill-posed inverse problems is based on minimizing the sum of a data fidelity term and a regularization term. The balance between them is tuned using a positive regularization parameter, whose automatic choice…

Numerical Analysis · Mathematics 2025-11-12 Markus Juvonen , Bjørn Jensen , Ilmari Pohjola , Yiqiu Dong , Samuli Siltanen

We propose a regularization-based deblurring method that works efficiently for galaxy images. The spatial resolution of a ground-based telescope is generally limited by seeing conditions and much worse than space-based telescopes. This…

Instrumentation and Methods for Astrophysics · Physics 2022-09-21 Kazumi Murata , Tsutomu T. Takeuchi

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

Applications · Statistics 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

We consider tomographic reconstruction using priors in the form of a dictionary learned from training images. The reconstruction has two stages: first we construct a tensor dictionary prior from our training data, and then we pose the…

Computer Vision and Pattern Recognition · Computer Science 2015-06-17 Sara Soltani , Misha E. Kilmer , Per Christian Hansen

A flexible discriminative image denoiser is introduced in which multi-task learning methods are applied to a densoising FCN based on U-Net. The activations of the U-Net model are modified by affine transforms that are a learned function of…

Image and Video Processing · Electrical Eng. & Systems 2020-11-26 Anthony Kelly

Though achieving excellent performance in some cases, current unsupervised learning methods for single image denoising usually have constraints in applications. In this paper, we propose a new approach which is more general and applicable…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yutong Xie , Mingze Yuan , Bin Dong , Quanzheng Li

We propose the use of the Kantorovich-Rubinstein norm from optimal transport in imaging problems. In particular, we discuss a variational regularisation model endowed with a Kantorovich-Rubinstein discrepancy term and total variation…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Jan Lellmann , Dirk A. Lorenz , Carola Schönlieb , Tuomo Valkonen

Most of the classical denoising methods restore clear results by selecting and averaging pixels in the noisy input. Instead of relying on hand-crafted selecting and averaging strategies, we propose to explicitly learn this process with deep…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Xiangyu Xu , Muchen Li , Wenxiu Sun

Outdoor videos sometimes contain unexpected rain streaks due to the rainy weather, which bring negative effects on subsequent computer vision applications, e.g., video surveillance, object recognition and tracking, etc. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Zhaoyang Sun , Shengwu Xiong , Ryan Wen Liu

We consider variations of the Rudin-Osher-Fatemi functional which are particularly well-suited to denoising and deblurring of 2D bar codes. These functionals consist of an anisotropic total variation favoring rectangles and a fidelity term…

Optimization and Control · Mathematics 2019-07-11 Rustum Choksi , Yves van Gennip , Adam Oberman

In this paper, we denoise a given noisy image by minimizing a smoothness promoting function over a set of local similarity measures which compare the mean of the given image and some candidate image on a large collection of subboxes. The…

Optimization and Control · Mathematics 2024-06-24 Christian Kanzow , Fabius Krämer , Patrick Mehlitz , Gerd Wachsmuth , Frank Werner

As recent advances in mobile camera technology have enabled the capability to capture high-resolution images, such as 4K images, the demand for an efficient deblurring model handling large motion has increased. In this paper, we discover…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Insoo Kim , Jae Seok Choi , Geonseok Seo , Kinam Kwon , Jinwoo Shin , Hyong-Euk Lee

Deconvolution is the most commonly used image processing method to remove the blur caused by the point-spread-function (PSF) in optical imaging systems. While this method has been successful in deblurring, it suffers from several…

Image and Video Processing · Electrical Eng. & Systems 2019-10-10 Huangxuan Zhao , Ziwen Ke , Ningbo Chen , Ke Li , Lidai Wang , Xiaojing Gong , Wei Zheng , Liang Song , Zhicheng Liu , Dong Liang , Chengbo Liu

Blind motion deblurring is one of the most basic and challenging problems in image processing and computer vision. It aims to recover a sharp image from its blurred version knowing nothing about the blur process. Many existing methods use…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Quan Yuan , Junxia Li , Lingwei Zhang , Zhefu Wu , Guangyu Liu

We revisit total variation denoising and study an augmented model where we assume that an estimate of the image gradient is available. We show that this increases the image reconstruction quality and derive that the resulting model…

Optimization and Control · Mathematics 2018-04-05 Birgit Komander , Dirk A. Lorenz , Lena Vestweber

In image denoising problems, one widely-adopted approach is to minimize a regularized data-fit objective function, where the data-fit term is derived from a physical image acquisition model. Typically the regularizer is selected with two…

Optimization and Control · Mathematics 2015-08-13 Albert Oh , Rebecca Willett