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Restoration of digital images from their degraded measurements has always been a problem of great theoretical and practical importance in numerous applications of imaging sciences. A specific solution to the problem of image restoration is…

Computer Vision and Pattern Recognition · Computer Science 2010-04-09 Elad Shaked , Oleg Michailovich

A recently designed hyperspectral imaging device enables multiplexed acquisition of an entire data volume in a single snapshot thanks to monolithically-integrated spectral filters. Such an agile imaging technique comes at the cost of a…

Computer Vision and Pattern Recognition · Computer Science 2015-02-09 K. Degraux , V. Cambareri , L. Jacques , B. Geelen , C. Blanch , G. Lafruit

In coherent diffractive imaging (CDI) the resolution of the reconstructed object is limited by the numerical aperture of the experimental setup. We present here a theoretical and numerical study for achieving super-resolution by…

Data Analysis, Statistics and Probability · Physics 2016-09-20 Tatiana Latychevskaia , Yuriy Chushkin , Hans-Werner Fink

Natural images are often the superposition of various parts of different geometric characteristics. For instance, an image might be a mixture of cartoon and texture structures. In addition, images are often given with missing data. In this…

Functional Analysis · Mathematics 2021-07-08 Van Tiep Do , Ron Levie , Gitta Kutyniok

Restore lost images due to noise and blurred is a burgeoning subject in image processing and despite the different algorithms on this subject, but the effort to improve is always considered. The definition of fractional derivatives in…

Information Theory · Computer Science 2021-10-29 Reza Parvaz

Blind image restoration (IR) is a common yet challenging problem in computer vision. Classical model-based methods and recent deep learning (DL)-based methods represent two different methodologies for this problem, each with their own…

Image and Video Processing · Electrical Eng. & Systems 2024-05-02 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng , Kwan-Yee K. Wong

Image inpainting has made significant advances in recent years. However, it is still challenging to recover corrupted images with both vivid textures and reasonable structures. Some specific methods only tackle regular textures while losing…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Qiaole Dong , Chenjie Cao , Yanwei Fu

In this paper we propose a new joint model for the reconstruction of tomography data under limited angle sampling regimes. In many applications of Tomography, e.g. Electron Microscopy and Mammography, physical limitations on acquisition…

Image inpainting is the art of predicting damaged regions of an image. The manual way of image inpainting is a time consuming. Therefore, there must be an automatic digital method for image inpainting that recovers the image from the…

Computer Vision and Pattern Recognition · Computer Science 2013-06-04 Firas A. Jassim

The problem of reconstructing an object from the measurements of the light it scatters is common in numerous imaging applications. While the most popular formulations of the problem are based on linearizing the object-light relationship,…

Computer Vision and Pattern Recognition · Computer Science 2017-12-15 Yanting Ma , Hassan Mansour , Dehong Liu , Petros T. Boufounos , Ulugbek S. Kamilov

Various algorithms have been proposed for dictionary learning. Among those for image processing, many use image patches to form dictionaries. This paper focuses on whole-image recovery from corrupted linear measurements. We address the open…

Computer Vision and Pattern Recognition · Computer Science 2014-08-19 Yangyang Xu , Wotao Yin

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

This paper introduces a new shape-based image reconstruction technique applicable to a large class of imaging problems formulated in a variational sense. Given a collection of shape priors (a shape dictionary), we define our problem as…

Functional Analysis · Mathematics 2013-03-04 Alireza Aghasi , Justin Romberg

In image processing, problems of separation and reconstruction of missing pixels from incomplete digital images have been far more advanced in past decades. Many empirical results have produced very good results, however, providing a…

Functional Analysis · Mathematics 2022-02-08 Van Tiep Do

In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-space properties and long time behaviour are analyzed. From a…

Analysis of PDEs · Mathematics 2017-02-21 A. Araújo , S. Barbeiro , E. Cuesta , A. Durán

We propose Generative Probabilistic Image Colorization, a diffusion-based generative process that trains a sequence of probabilistic models to reverse each step of noise corruption. Given a line-drawing image as input, our method suggests…

Computer Vision and Pattern Recognition · Computer Science 2021-09-30 Chie Furusawa , Shinya Kitaoka , Michael Li , Yuri Odagiri

Recently deep neutral networks have achieved promising performance for filling large missing regions in image inpainting tasks. They usually adopted the standard convolutional architecture over the corrupted image, leading to meaningless…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Yuqing Ma , Xianglong Liu , Shihao Bai , Lei Wang , Aishan Liu , Dacheng Tao , Edwin Hancock

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

Recent advances in implicit neural representations and differentiable rendering make it possible to simultaneously recover the geometry and materials of an object from multi-view RGB images captured under unknown static illumination.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-15 Yuanqing Zhang , Jiaming Sun , Xingyi He , Huan Fu , Rongfei Jia , Xiaowei Zhou

We consider numerical solution of elliptic problems with heterogeneous diffusion coefficients containing thin highly conductive structures. Such problems arise e.g. in fractured porous media, reinforced materials, and electric circuits. The…

Numerical Analysis · Mathematics 2020-07-22 Fredrik Hellman , Axel Målqvist , Siyang Wang