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In this paper we are concerned with fully automatic and locally adaptive estimation of functions in a "signal + noise"-model where the regression function may additionally be blurred by a linear operator, e.g. by a convolution. To this end,…

Applications · Statistics 2015-03-17 Klaus Frick , Philipp Marnitz , Axel Munk

This paper presents a novel stochastic optimisation methodology to perform empirical Bayesian inference in semi-blind image deconvolution problems. Given a blurred image and a parametric class of possible operators, the proposed…

Applications · Statistics 2024-03-12 Charlesquin Kemajou Mbakam , Marcelo Pereyra , Jean-François Giovannelli

Recovering sharper images from blurred observations, referred to as deconvolution, is an ill-posed problem where classical approaches often produce unsatisfactory results. In ground-based astronomy, combining multiple exposures to achieve…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Fausto Navarro , Daniel Hall , Tamas Budavari , Yashil Sukurdeep

Complete and textured 3D reconstruction of dynamic scenes has been facilitated by mapped RGB and depth information acquired by RGB-D cameras based multi-view systems. One of the most critical steps in such multi-view systems is to determine…

Computer Vision and Pattern Recognition · Computer Science 2019-05-27 Hassan Afzal , Djamila Aouada , Michel Antunes , David Fofi , Bruno Mirbach , Björn Ottersten

Many imaging problems require solving an inverse problem that is ill-conditioned or ill-posed. Imaging methods typically address this difficulty by regularising the estimation problem to make it well-posed. This often requires setting the…

Methodology · Statistics 2020-08-17 Ana F. Vidal , Valentin De Bortoli , Marcelo Pereyra , Alain Durmus

Magnetic Particle Imaging (MPI) is a recent imaging modality where superparamagnetic nanoparticles are employed as tracers. The reconstruction task is to obtain the spatial particle distribution from a voltage signal induced by the…

Numerical Analysis · Mathematics 2025-08-11 Thomas März , Vladyslav Gapyak , Andreas Weinmann

Hyperspectral and multispectral images fusion aims at integrating a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to construct a high-resolution hyperspectral image (HR-HSI). It is generally…

Optimization and Control · Mathematics 2026-03-13 Ying Gao , Michael K. Ng , Chunfeng cui

Low-rank decomposition (LRD) is a state-of-the-art method for visual data reconstruction and modelling. However, it is a very challenging problem when the image data contains significant occlusion, noise, illumination variation, and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chen Chen , Baochang Zhang , Alessio Del Bue , Vittorio Murino

Deconvolution is the important problem of estimating the distribution of a quantity of interest from a sample with additive measurement error. Nearly all methods in the literature are based on Fourier transformation because it is…

Methodology · Statistics 2026-03-03 Yun Cai , Hong Gu , Toby Kenney

Adaptive optics (AO) corrected ood imaging of the retina is a popular technique for studying the retinal structure and function in the living eye. However, the raw retinal images are usually of poor contrast and the interpretation of such…

Optimization and Control · Mathematics 2020-12-30 Xiaotong Chen , James L. Herring , James G. Nagy , Yuanzhe Xi , Bo Yu

Non-line-of-sight imaging has attracted more attentions for its wide applications.Even though ultrasensitive cameras or detectors with high time-resolution are available, current back-projection methods are still powerless to acquire a…

Image and Video Processing · Electrical Eng. & Systems 2018-08-15 Chenfei Jin , Jiaheng Xie , Siqi Zhang , Zijing Zhang , Yuan Zhao

Accurate depth estimation is at the core of many applications in computer graphics, vision, and robotics. Current state-of-the-art monocular depth estimators, trained on extensive datasets, generalize well but lack 3D consistency needed for…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Laura Fink , Linus Franke , Bernhard Egger , Joachim Keinert , Marc Stamminger

Recent advancements in 3D object detection have benefited from multi-modal information from the multi-view cameras and LiDAR sensors. However, the inherent disparities between the modalities pose substantial challenges. We observe that…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Juhan Cha , Minseok Joo , Jihwan Park , Sanghyeok Lee , Injae Kim , Hyunwoo J. Kim

Super-resolution is generally referred to as the task of recovering fine details from coarse information. Motivated by applications such as single-molecule imaging, radar imaging, etc., we consider parameter estimation of complex…

Information Theory · Computer Science 2016-08-10 Dehui Yang , Gongguo Tang , Michael B. Wakin

Low-rank Deconvolution (LRD) has appeared as a new multi-dimensional representation model that enjoys important efficiency and flexibility properties. In this work we ask ourselves if this analytical model can compete against Deep Learning…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 David Reixach , Josep Ramon Morros

The Multiscale Hierarchical Decomposition Method (MHDM) was introduced as an iterative method for total variation regularization, with the aim of recovering details at various scales from images corrupted by additive or multiplicative…

Numerical Analysis · Mathematics 2023-09-28 Stefan Kindermann , Elena Resmerita , Tobias Wolf

In this paper we address the problem of visual quality of images reconstructed from block-wise random projections. Independent reconstruction of the blocks can severely affect visual quality, by displaying artifacts along block borders. We…

Computer Vision and Pattern Recognition · Computer Science 2014-03-06 Giulio Coluccia , Diego Valsesia , Enrico Magli

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

Numerical Analysis · Mathematics 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

The paper deals with the construction of images from visibilities acquired using aperture synthesis instruments: Fourier synthesis, deconvolution, and spectral interpolation/extrapolation. Its intended application is to specific situations…

Astrophysics · Physics 2016-08-30 J. -F. Giovannelli , A. Coulais

This work considers the multi-channel blind deconvolution problem under the assumption that the channels are short. First, we investigate the ill-posedness issues inherent to blind deconvolution problems and sufficient and necessary…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Antoine Paris , Laurent Jacques
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