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Research in ultrasound imaging is limited in reproducibility by two factors: First, many existing ultrasound pipelines are protected by intellectual property, rendering exchange of code difficult. Second, most pipelines are implemented in…

计算机视觉与模式识别 · 计算机科学 2018-05-11 Rüdiger Göbl , Nassir Navab , Christoph Hennersperger

Hyperspectral remote sensing images (HSIs) are characterized by having a low spatial resolution and a high spectral resolution, whereas multispectral images (MSIs) are characterized by low spectral and high spatial resolutions. These…

计算机视觉与模式识别 · 计算机科学 2014-06-11 Miguel Simões , José Bioucas-Dias , Luis B. Almeida , Jocelyn Chanussot

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of sparse or…

天体物理学 · 物理学 2009-07-09 Y. Wiaux , L. Jacques , G. Puy , A. M. M. Scaife , P. Vandergheynst

Within the statistical and machine learning literature, regularization techniques are often used to construct sparse (predictive) models. Most regularization strategies only work for data where all predictors are treated identically, such…

统计计算 · 统计学 2020-12-16 Sander Devriendt , Katrien Antonio , Tom Reynkens , Roel Verbelen

For many applications in signal processing and machine learning, we are tasked with minimizing a large sum of convex functions subject to a large number of convex constraints. In this paper, we devise a new random projection method (RPM) to…

最优化与控制 · 数学 2024-04-08 Zhichun Yang , Fu-quan Xia , Kai Tu , Man-Chung Yue

This paper presents a multilevel algorithm specifically designed for radio-interferometric imaging in astronomy. The proposed algorithm is used to solve the uSARA (unconstrained Sparsity Averaging Reweighting Analysis) formulation of this…

最优化与控制 · 数学 2024-03-21 Guillaume Lauga , Audrey Repetti , Elisa Riccietti , Nelly Pustelnik , Paulo Gonçalves , Yves Wiaux

Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

机器学习 · 统计学 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

To overcome inherent hardware limitations of hyperspectral imaging systems with respect to their spatial resolution, fusion-based hyperspectral image (HSI) super-resolution is attracting increasing attention. This technique aims to fuse a…

图像与视频处理 · 电气工程与系统科学 2022-01-25 Xiuheng Wang , Jie Chen , Cédric Richard

Recent work in CT imaging has seen increased interest in the use of total variation (TV) and related penalties to regularize problems involving reconstruction from undersampled or incomplete data. Superiorization is a recently proposed…

医学物理 · 物理学 2017-10-02 T. Humphries , J. Winn , A. Faridani

Radio interferometric imaging has long relied on the CLEAN algorithm, valued for its speed, robustness, and integration with calibration pipelines. However, next-generation facilities such as the ngVLA, SKA, and ALMAs Wideband Sensitivity…

天体物理仪器与方法 · 物理学 2025-09-19 Hendrik Müller

Dynamic MRI reconstruction from undersampled measurements is a challenging inverse problem that requires preserving both spatial reconstruction quality and temporal consistency across the frames of the cine series. While recent…

图像与视频处理 · 电气工程与系统科学 2026-05-19 Yongliang Sun , Siddhant Gautam , Chaoyan Huang , Nicole Seiberlich , Ismail Alkhouri , Saiprasad Ravishankar

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

图像与视频处理 · 电气工程与系统科学 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

数值分析 · 数学 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

We consider the problem of minimizing an objective function that is the sum of a convex function and a group sparsity-inducing regularizer. Problems that integrate such regularizers arise in modern machine learning applications, often for…

最优化与控制 · 数学 2020-07-30 Frank E. Curtis , Yutong Dai , Daniel P. Robinson

Radio-astronomical observations are increasingly contaminated by interference, and suppression techniques become essential. A powerful candidate for interference mitigation is adaptive spatial filtering. We study the effect of spatial…

天体物理学 · 物理学 2014-10-13 Amir Leshem , Alle-Jan van der Veen

Two features desired in a three-dimensional (3D) optical tomographic image reconstruction algorithm are the ability to reduce imaging artifacts and to do fast processing of large data volumes. Traditional iterative inversion algorithms are…

图像与视频处理 · 电气工程与系统科学 2020-06-15 Zihui Wu , Yu Sun , Alex Matlock , Jiaming Liu , Lei Tian , Ulugbek S. Kamilov

We propose a federated algorithm for reconstructing images using multimodal tomographic data sourced from dispersed locations, addressing the challenges of traditional unimodal approaches that are prone to noise and reduced image quality.…

最优化与控制 · 数学 2025-01-13 Geunyeong Byeon , Minseok Ryu , Zichao Wendy Di , Kibaek Kim

An algorithmic framework, based on the difference of convex functions algorithm (DCA), is proposed for minimizing a class of concave sparse metrics for compressed sensing problems. The resulting algorithm iterates a sequence of $\ell_1$…

信息论 · 计算机科学 2016-11-02 Penghang Yin , Jack Xin

This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one…

数值分析 · 数学 2025-09-01 Mohamed El Guide , Anas El Hachimi , Khalide Jbilou , Lothar Reichel