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Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti

Recovering frequency-localized functions from pointwise data is a fundamental task in signal processing. We examine this problem from an approximation-theoretic perspective, focusing on least squares and deep learning-based methods. First,…

Classical Analysis and ODEs · Mathematics 2025-12-10 A. Martina Neuman , Andres Felipe Lerma Pineda , Jason J. Bramburger , Simone Brugiapaglia

Diffusion models have emerged as powerful generative priors for solving inverse imaging problems. However, their practical deployment is hindered by the substantial computational cost of slow, multi-step sampling. Although Consistency…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Amirreza Tanevardi , Pooria Abbas Rad Moghadam , Seyed Mohammad Eshtehardian , Sajjad Amini , Babak Khalaj

We present a technique for synthesizing a motion blurred image from a pair of unblurred images captured in succession. To build this system we motivate and design a differentiable "line prediction" layer to be used as part of a neural…

Computer Vision and Pattern Recognition · Computer Science 2019-06-21 Tim Brooks , Jonathan T. Barron

Learning-based multi-view stereo (MVS) has gained fine reconstructions on popular datasets. However, supervised learning methods require ground truth for training, which is hard to be collected, especially for the large-scale datasets.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Haonan Dong , Jian Yao

A novel technique based on machine learning is introduced to reconstruct the decays of highly Lorentz-boosted particles. Using an end-to-end deep learning strategy, the technique bypasses existing rule-based particle reconstruction methods…

High Energy Physics - Experiment · Physics 2023-10-04 CMS Collaboration

We describe a "spatio-spectral" deconvolution algorithm for wide-band imaging in radio interferometry. In contrast with the existing multi-frequency reconstruction algorithms, the proposed method does not rely on a model of the…

Instrumentation and Methods for Astrophysics · Physics 2016-03-01 André Ferrari , Jérémy Deguignet , Chiara Ferrari , David Mary , Antony Schutz , Oleg Smirnov

In this paper we prove two results regarding reconstruction from magnitudes of frame coefficients (the so called "phase retrieval problem"). First we show that phase retrievability as an algebraic property implies that nonlinear maps are…

Functional Analysis · Mathematics 2015-06-09 Radu Balan , Dongmian Zou

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

Numerical Analysis · Mathematics 2024-06-05 Martin Burger , Samira Kabri

Phase retrieval is the inverse problem of recovering a signal from magnitude-only Fourier measurements, and underlies numerous imaging modalities, such as Coherent Diffraction Imaging (CDI). A variant of this setup, known as holography,…

Machine Learning · Computer Science 2021-04-22 Hannah Lawrence , David A. Barmherzig , Henry Li , Michael Eickenberg , Marylou Gabrié

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

Medical Physics · Physics 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

Deep learning networks have shown state-of-the-art performance in many image reconstruction problems. However, it is not well understood what properties of representation and learning may improve the generalization ability of the network.…

Machine Learning · Computer Science 2019-05-14 Sandesh Ghimire , Prashnna Kumar Gyawali , Jwala Dhamala , John L Sapp , Milan Horacek , Linwei Wang

Magnetic resonance imaging (MRI) is known to have reduced signal-to-noise ratios (SNR) at lower field strengths, leading to signal degradation when producing a low-field MRI image from a high-field one. Therefore, reconstructing a…

Image and Video Processing · Electrical Eng. & Systems 2023-05-05 Zhuo-Xu Cui , Congcong Liu , Chentao Cao , Yuanyuan Liu , Jing Cheng , Qingyong Zhu , Yanjie Zhu , Haifeng Wang , Dong Liang

With active research in audio compression techniques yielding substantial breakthroughs, spectral reconstruction of low-quality audio waves remains a less indulged topic. In this paper, we propose a novel approach for reconstructing higher…

Sound · Computer Science 2021-08-10 Darshan Deshpande , Harshavardhan Abichandani

The solution of inverse problems is of fundamental interest in medical and astronomical imaging, geophysics as well as engineering and life sciences. Recent advances were made by using methods from machine learning, in particular deep…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Moritz Piening , Fabian Altekrüger , Johannes Hertrich , Paul Hagemann , Andrea Walther , Gabriele Steidl

Synchrotron-based X-ray computed tomography is widely used for investigating inner structures of specimens at high spatial resolutions. However, potential beam damage to samples often limits the X-ray exposure during tomography experiments.…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 Ziling Wu , Tekin Bicer , Zhengchun Liu , Vincent De Andrade , Yunhui Zhu , Ian T. Foster

Hyperspectral image produces high spectral resolution at the sacrifice of spatial resolution. Without reducing the spectral resolution, improving the resolution in the spatial domain is a very challenging problem. Motivated by the discovery…

Image and Video Processing · Electrical Eng. & Systems 2022-12-07 Qiang Li , Yuan Yuan , Xiuping Jia , Qi Wang

Traditional speech enhancement methods often oversimplify the task of restoration by focusing on a single type of distortion. Generative models that handle multiple distortions frequently struggle with phone reconstruction and…

Sound · Computer Science 2025-02-11 Tushar Dhyani , Florian Lux , Michele Mancusi , Giorgio Fabbro , Fritz Hohl , Ngoc Thang Vu

Traditional feature-based image stitching technologies rely heavily on feature detection quality, often failing to stitch images with few features or low resolution. The learning-based image stitching solutions are rarely studied due to the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Lang Nie , Chunyu Lin , Kang Liao , Shuaicheng Liu , Yao Zhao

When adopting a model-based formulation, solving inverse problems encountered in multiband imaging requires to define spatial and spectral regularizations. In most of the works of the literature, spectral information is extracted from the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-03 Min Zhao , Nicolas Dobigeon , Jie Chen