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One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Moreover,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Marien Renaud , Arthur Leclaire , Nicolas Papadakis

This paper introduces an optimal control framework to address the inverse problem using a learned regularizer, with applications in image reconstruction. We build upon the concept of Learnable Optimization Algorithms (LOA), which combine…

Optimization and Control · Mathematics 2024-09-04 Wanyu Bian

Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

Optical diffraction tomography measures the three-dimensional refractive index map of a specimen and visualizes biochemical phenomena at the nanoscale in a non-destructive manner. One major drawback of optical diffraction tomography is poor…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 DongHun Ryu , Dongmin Ryu , YoonSeok Baek , Hyungjoo Cho , Geon Kim , Young Seo Kim , Yongki Lee , Yoosik Kim , Jong Chul Ye , Hyun-Seok Min , YongKeun Park

Deconvolution is a widely used strategy to mitigate the blurring and noisy degradation of hyperspectral images~(HSI) generated by the acquisition devices. This issue is usually addressed by solving an ill-posed inverse problem. While…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Xiuheng Wang , Jie Chen , Cédric Richard

Intrinsic image decomposition is the process of separating the reflectance and shading layers of an image, which is a challenging and underdetermined problem. In this paper, we propose to systematically address this problem using a deep…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Sai Bi , Nima Khademi Kalantari , Ravi Ramamoorthi

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regularizer within a family depending on a parameter in a…

Analysis of PDEs · Mathematics 2022-09-15 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck , Hidde Schönberger

Restoring images affected by various types of degradation, such as noise, blur, or improper exposure, remains a significant challenge in computer vision. While recent trends favor complex monolithic all-in-one architectures, these models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Joanna Wiekiera , Martyna Zur

We propose a deep reparametrization of the maximum a posteriori formulation commonly employed in multi-frame image restoration tasks. Our approach is derived by introducing a learned error metric and a latent representation of the target…

Image and Video Processing · Electrical Eng. & Systems 2021-08-19 Goutam Bhat , Martin Danelljan , Fisher Yu , Luc Van Gool , Radu Timofte

Mask-based lensless imagers are smaller and lighter than traditional lensed cameras. In these imagers, the sensor does not directly record an image of the scene; rather, a computational algorithm reconstructs it. Typically, mask-based…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Kristina Monakhova , Joshua Yurtsever , Grace Kuo , Nick Antipa , Kyrollos Yanny , Laura Waller

The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks. A central challenge in this setting is backpropagation through the solution of an…

Machine Learning · Computer Science 2023-09-06 James Kotary , My H. Dinh , Ferdinando Fioretto

This paper addresses the fusion of a pair of spatially unregistered hyperspectral image (HSI) and multispectral image (MSI) covering roughly overlapping regions. HSIs offer high spectral but low spatial resolution, while MSIs provide the…

Image and Video Processing · Electrical Eng. & Systems 2026-04-02 Jiahui Song , Sagar Shrestha , Xiao Fu

Deep neural network approaches to inverse imaging problems have produced impressive results in the last few years. In this paper, we consider the use of generative models in a variational regularisation approach to inverse problems. The…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Margaret Duff , Neill D. F. Campbell , Matthias J. Ehrhardt

Implicit neural representations (INRs) have emerged as a powerful paradigm for medical imaging via physics-informed unsupervised learning. Classical INRs optimize an entire network from scratch for each subject, leading to inefficient…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Qing Wu , Xuanyu Tian , Chenhe Du , Haonan Zhang , Xiao Wang , Le Lu , Yuyao Zhang

Deep learning has emerged as a promising approach for learning the nonlinear mapping between diffusion-weighted MR images and tissue parameters, which enables automatic and deep understanding of the brain microstructures. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Wenxin Fan , Jian Cheng , Qiyuan Tian , Ruoyou Wu , Juan Zou , Zan Chen , Shanshan Wang

Intrinsic decomposition from a single image is a highly challenging task, due to its inherent ambiguity and the scarcity of training data. In contrast to traditional fully supervised learning approaches, in this paper we propose learning…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Michael Janner , Jiajun Wu , Tejas D. Kulkarni , Ilker Yildirim , Joshua B. Tenenbaum

Physics-guided deep learning (PG-DL) via algorithm unrolling has received significant interest for improved image reconstruction, including MRI applications. These methods unroll an iterative optimization algorithm into a series of…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Mehmet Akçakaya

Deep neural network based methods are the state of the art in various image restoration problems. Standard supervised learning frameworks require a set of noisy measurement and clean image pairs for which a distance between the output of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Rihuan Ke , Carola-Bibiane Schönlieb

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang