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We present a novel method that integrates subspace modeling with an adaptive generative image prior for high-dimensional MR image reconstruction. The subspace model imposes an explicit low-dimensional representation of the high-dimensional…

Image and Video Processing · Electrical Eng. & Systems 2023-06-19 Ruiyang Zhao , Xi Peng , Varun A. Kelkar , Mark A. Anastasio , Fan Lam

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Romain Vo , Julián Tachella

The problems of computational data processing involving regression, interpolation, reconstruction and imputation for multidimensional big datasets are becoming more important these days, because of the availability of data and their widely…

Methodology · Statistics 2017-03-22 Yuri K. Shestopaloff , Alexander Y. Shestopaloff

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

Neural and Evolutionary Computing · Computer Science 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

Hyperspectral imaging has become a significant source of valuable data for astronomers over the past decades. Current instrumental and observing time constraints allow direct acquisition of multispectral images, with high spatial but low…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Claire Guilloteau , Thomas Oberlin , Olivier Berné , Nicolas Dobigeon

Image denoising is a classical problem in low level computer vision. Model-based optimization methods and deep learning approaches have been the two main strategies for solving the problem. Model-based optimization methods are flexible for…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Chang Liu , Zhaowei Shang , Anyong Qin

Recent work in machine learning shows that deep neural networks can be used to solve a wide variety of inverse problems arising in computational imaging. We explore the central prevailing themes of this emerging area and present a taxonomy…

Image and Video Processing · Electrical Eng. & Systems 2020-05-14 Gregory Ongie , Ajil Jalal , Christopher A. Metzler , Richard G. Baraniuk , Alexandros G. Dimakis , Rebecca Willett

We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed to process the measurements done with point-like detectors…

Analysis of PDEs · Mathematics 2011-02-08 Leonid Kunyansky

A unified method for three-dimensional reconstruction of objects from transmission images collected at multiple illumination directions is described. The method may be applicable to experimental conditions relevant to absorption-based,…

Medical Physics · Physics 2022-12-07 Timur E. Gureyev , Hamish G. Brown , Harry M. Quiney , Leslie J. Allen

The main disadvantage of Magnetic Resonance Imaging (MRI) are its long scan times and, in consequence, its sensitivity to motion. Exploiting the complementary information from multiple receive coils, parallel imaging is able to recover…

Numerical Analysis · Computer Science 2017-03-07 Martin Uecker

We consider the problem of 3D shape recovery from ultra-fast motion-blurred images. While 3D reconstruction from static images has been extensively studied, recovering geometry from extreme motion-blurred images remains challenging. Such…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Fei Yu , Shudan Guo , Shiqing Xin , Beibei Wang , Haisen Zhao , Wenzheng Chen

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

A challenge in high-dimensional inverse problems is developing iterative solvers to find the accurate solution of regularized optimization problems with low computational cost. An important example is computed tomography (CT) where both…

Numerical Analysis · Mathematics 2024-12-16 Alessandro Perelli , Carola-Bibiane Schonlieb , Matthias J. Ehrhardt

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

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

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

Archetypal scenarios for change detection generally consider two images acquired through sensors of the same modality. However, in some specific cases such as emergency situations, the only images available may be those acquired through…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Vinicius Ferraris , Nicolas Dobigeon , Qi Wei , Marie Chabert

With the effective application of deep learning in computer vision, breakthroughs have been made in the research of super-resolution images reconstruction. However, many researches have pointed out that the insufficiency of the neural…

Image and Video Processing · Electrical Eng. & Systems 2021-06-11 Yibo Guo , Haidi Wang , Yiming Fan , Shunyao Li , Mingliang Xu

Signal reconstruction is a challenging aspect of computational imaging as it often involves solving ill-posed inverse problems. Recently, deep feed-forward neural networks have led to state-of-the-art results in solving various inverse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Akshat Dave , Anil Kumar Vadathya , Ramana Subramanyam , Rahul Baburajan , Kaushik Mitra

The design of metamaterials which support unique optical responses is the basis for most thin-film nanophotonics applications. In practice this inverse design problem can be difficult to solve systematically due to the large design…

Computational Physics · Physics 2026-05-25 Andrew Lininger , Michael Hinczewski , Giuseppe Strangi