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This paper derives a new class of adaptive regularization parameter choice strategies that can be effectively and efficiently applied when regularizing large-scale linear inverse problems by combining standard Tikhonov regularization and…

Numerical Analysis · Mathematics 2019-07-15 Silvia Gazzola , Malena Sabate Landman

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

Three-dimensional x-ray CT image reconstruction in baggage scanning in security applications is an important research field. The variety of materials to be reconstructed is broader than medical x-ray imaging. Presence of high attenuating…

Computer Vision and Pattern Recognition · Computer Science 2015-08-20 S. Degirmenci , Joseph A. O'Sullivan , David G. Politte

We propose an adaptive training scheme for unsupervised medical image registration. Existing methods rely on image reconstruction as the primary supervision signal. However, nuisance variables (e.g. noise and covisibility), violation of the…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiaoran Zhang , John C. Stendahl , Lawrence Staib , Albert J. Sinusas , Alex Wong , James S. Duncan

Underwater imagery is often compromised by factors such as color distortion and low contrast, posing challenges for high-level vision tasks. Recent underwater image restoration (UIR) methods either analyze the input image at full…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Alik Pramanick , Arijit Sur , V. Vijaya Saradhi

In order to address the issue that medical image would suffer from severe blurring caused by the lack of high-frequency details in the process of image super-resolution reconstruction, a novel medical image super-resolution method based on…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Kewen Liu , Yuan Ma , Hongxia Xiong , Zejun Yan , Zhijun Zhou , Panpan Fang , Chaoyang Liu

Wavelet-based grid adaptation methods use multiresolution analysis for error estimation, offering a mathematically rigorous approach to adaptive grid refinement when solving Partial Differential Equations (PDEs). However, applying these…

Numerical Analysis · Mathematics 2026-03-20 Changxiao Nigel Shen , Wim M. van Rees

There are many methods for image enhancement. Image inpainting is one of them which could be used in reconstruction and restoration of scratch images or editing images by adding or removing objects. According to its application, different…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Zahra Nabizadeh , Ghazale Ghorbanzade , Nader Karimi , Shadrokh Samavi

In this paper, we develop a class of block-coordinate Plug-and-Play (PnP) methods to address imaging inverse problems. The block-coordinate strategy is designed to reduce the high memory consumption arising in PnP methods that rely on…

Optimization and Control · Mathematics 2026-03-03 Federica Porta , Simone Rebegoldi , Andrea Sebastiani

We introduce a novel deep-learning architecture for image upscaling by large factors (e.g. 4x, 8x) based on examples of pristine high-resolution images. Our target is to reconstruct high-resolution images from their downscale versions. The…

Image and Video Processing · Electrical Eng. & Systems 2019-01-31 Pablo Navarrete Michelini , Hanwen Liu , Dan Zhu

The success of CNN-based architecture on image classification in learning and extracting features made them so popular these days, but the task of image classification becomes more challenging when we apply state of art models to classify…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Ashkan Ganj , Mohsen Ebadpour , Mahdi Darvish , Hamid Bahador

Background subtraction is a fundamental low-level processing task in numerous computer vision applications. The vast majority of algorithms process images on a pixel-by-pixel basis, where an independent decision is made for each pixel. A…

Computer Vision and Pattern Recognition · Computer Science 2013-03-19 Vikas Reddy , Conrad Sanderson , Brian C. Lovell

Wavefront shaping systems aim to image deep into scattering tissue by reshaping incoming and outgoing light to correct aberrations caused by tissue inhomogeneity However, the desired modulation depends on the unknown tissue structure and…

Optics · Physics 2026-01-14 Sagi Monin , Marina Alterman , Anat Levin

In general, image restoration involves mapping from low quality images to their high-quality counterparts. Such optimal mapping is usually non-linear and learnable by machine learning. Recently, deep convolutional neural networks have…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Yuan Zhou , Xiaoting Du , Yeda Zhang , Sun-Yuan Kung

This paper presents a multilevel FISTA algorithm, based on the use of the Moreau envelope to build the correction brought by the coarse models, which is easy to compute when the explicit form of the proximal operator of the considered…

Optimization and Control · Mathematics 2022-10-31 Guillaume Lauga , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves

Although several image super-resolution solutions exist, they still face many challenges. CNN-based algorithms, despite the reduction in computational complexity, still need to improve their accuracy. While Transformer-based algorithms have…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Nianzu Qiao , Lamei Di , Changyin Sun

Photographs captured by smartphones and mid-range cameras have limited spatial resolution and dynamic range, with noisy response in underexposed regions and color artefacts in saturated areas. This paper introduces the first approach (to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Bruno Lecouat , Thomas Eboli , Jean Ponce , Julien Mairal

MultiResolution Low-Rank decomposition is formulated for regularization of dynamic image sequences. The decomposition applies a local low-rank decomposition on a sequence of discrete wavelet transforms. Its effective formulation as a…

Numerical Analysis · Mathematics 2025-08-05 Tommi Heikkilä

Nonconvex optimization problems arise in many areas of computational science and engineering and are (approximately) solved by a variety of algorithms. Existing algorithms usually only have local convergence or subsequence convergence of…

Optimization and Control · Mathematics 2015-08-21 Yangyang Xu , Wotao Yin

Crucial information barely visible to the human eye is often embedded in a series of low-resolution images taken of the same scene. Super-resolution enables the extraction of this information by reconstructing a single image, at a high…

Computer Vision and Pattern Recognition · Computer Science 2011-12-08 S. S. Panda , M. S. R. S Prasad , G. Jena
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