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In this paper we propose a new inexact dual decomposition algorithm for solving separable convex optimization problems. This algorithm is a combination of three techniques: dual Lagrangian decomposition, smoothing and excessive gap. The…

Optimization and Control · Mathematics 2013-02-11 Quoc Tran Dinh , Ion Necoara , Moritz Diehl

X-ray tomography is a reliable tool for determining the inner structure of 3D object with penetrating X-rays. However, traditional reconstruction methods such as FDK require dense angular sampling in the data acquisition phase leading to…

Image super-resolution (SR) is a technique to recover lost high-frequency information in low-resolution (LR) images. Spatial-domain information has been widely exploited to implement image SR, so a new trend is to involve frequency-domain…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 Jing Fang , Yinbo Yu , Zhongyuan Wang , Xin Ding , Ruimin Hu

In this paper we propose a generic recursive algorithm for improving image denoising methods. Given the initial denoised image, we suggest repeating the following "SOS" procedure: (i) (S)trengthen the signal by adding the previous denoised…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Yaniv Romano , Michael Elad

Single Image Super Resolution (SISR) is the task of producing a high resolution (HR) image from a given low-resolution (LR) image. It is a well researched problem with extensive commercial applications such as digital camera, video…

Multimedia · Computer Science 2019-03-29 Jingwei Guan , Cheng Pan , Songnan Li , Dahai Yu

Recently, most of state-of-the-art single image super-resolution (SISR) methods have attained impressive performance by using deep convolutional neural networks (DCNNs). The existing SR methods have limited performance due to a fixed…

Image and Video Processing · Electrical Eng. & Systems 2021-07-08 Rao Muhammad Umer , Asad Munir , Christian Micheloni

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

Numerical Analysis · Mathematics 2016-11-09 Alessandro Alla , J. Nathan Kutz

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

The popularity of high and ultra-high definition displays has led to the need for methods to improve the quality of videos already obtained at much lower resolutions. Current Video Super-Resolution methods are not robust to mismatch between…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Santiago López-Tapia , Alice Lucas , Rafael Molina , Aggelos K. Katsaggelos

Manifold-valued signal- and image processing has received attention due to modern image acquisition techniques. Recently, a convex relaxation of the otherwise nonconvex Tikhonov-regularization for denoising circle-valued data has been…

Numerical Analysis · Mathematics 2024-05-17 Robert Beinert , Jonas Bresch , Gabriele Steidl

In recent years, convolutional networks have demonstrated unprecedented performance in the image restoration task of super-resolution (SR). SR entails the upscaling of a single low-resolution image in order to meet application-specific…

Computer Vision and Pattern Recognition · Computer Science 2019-08-22 Royson Lee , Stylianos I. Venieris , Łukasz Dudziak , Sourav Bhattacharya , Nicholas D. Lane

This study presents a chronological overview of the single image super-resolution problem. We first define the problem thoroughly and mention some of the serious challenges. Then the problem formulation and the performance metrics are…

Image and Video Processing · Electrical Eng. & Systems 2021-01-11 Baran Ataman , Mert Seker , David Mckee

Most conventional supervised super-resolution (SR) algorithms assume that low-resolution (LR) data is obtained by downscaling high-resolution (HR) data with a fixed known kernel, but such an assumption often does not hold in real scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Suyoung Lee , Myungsub Choi , Kyoung Mu Lee

Single image super resolution (SR), which refers to reconstruct a higher-resolution (HR) image from the observed low-resolution (LR) image, has received substantial attention due to its tremendous application potentials. Despite the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Yukai Shi , Keze Wang , Chongyu Chen , Li Xu , Liang Lin

State-of-the-art image reconstruction often relies on complex, highly parameterized deep architectures. We propose an alternative: a data-driven reconstruction method inspired by the classic Tikhonov regularization. Our approach iteratively…

Image and Video Processing · Electrical Eng. & Systems 2025-02-07 Mehrsa Pourya , Erich Kobler , Michael Unser , Sebastian Neumayer

The recent use of diffusion prior, enhanced by pre-trained text-image models, has markedly elevated the performance of image super-resolution (SR). To alleviate the huge computational cost required by pixel-based diffusion SR, latent-based…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Feng Luo , Jinxi Xiang , Jun Zhang , Xiao Han , Wei Yang

In this paper, we introduce a novel implicit neural network for the task of single image super-resolution at arbitrary scale factors. To do this, we represent an image as a decoding function that maps locations in the image along with their…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Quan H. Nguyen , William J. Beksi

For collecting high-quality high-resolution (HR) MR image, we propose a novel image reconstruction network named IREM, which is trained on multiple low-resolution (LR) MR images and achieve an arbitrary up-sampling rate for HR image…

Image and Video Processing · Electrical Eng. & Systems 2021-06-30 Qing Wu , Yuwei Li , Lan Xu , Ruiming Feng , Hongjiang Wei , Qing Yang , Boliang Yu , Xiaozhao Liu , Jingyi Yu , Yuyao Zhang

Single-Image Super-Resolution (SISR) aims to reconstruct a High-Resolution (HR) image from a Low-Resolution (LR) observation, a fundamentally ill-posed problem where high-frequency details are severely degraded at large upscaling factors.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Roberto Isai Navaro-Aviña , Eduardo Said Merin-Martinez , Andres Mendez-Vazquez , Eduardo Rodriguez-Tello
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