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Related papers: Phase-Pole-Free Images and Smooth Coil Sensitivity…

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We present simple reconstruction networks for multi-coil data by extending deep cascade of CNN's and exploiting the data consistency layer. In particular, we propose two variants, where one is inspired by POCSENSE and the other is…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Jo Schlemper , Jinming Duan , Cheng Ouyang , Chen Qin , Jose Caballero , Joseph V. Hajnal , Daniel Rueckert

Many practical imaging systems suffer from uncertainty in acquisition geometry -- such as projection angles in computed tomography or sensor positions in photoacoustic tomography -- leading to nonlinear inverse problems that require joint…

Numerical Analysis · Mathematics 2026-05-08 Toluwani Okunola , Mirjeta Pasha , Misha E. Kilmer , James G. Nagy , Eric de Sturler

This paper introduces a technique called NKL, which cleans both polarized and unpolarized foregrounds from HI intensity maps by applying a Karhunen-Lo\`eve transform on the needlet coefficients. In NKL, one takes advantage of correlations…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-03 John Podczerwinski , Peter Timbie

Accurately quantifying swelling of alloys that have undergone irradiation is essential for understanding alloy performance in a nuclear reactor and critical for the safe and reliable operation of reactor facilities. However, typical…

Materials Science · Physics 2022-08-03 Ryan Jacobs , Priyam Patki , Matthew Lynch , Steven Chen , Dane Morgan , Kevin G. Field

We develop a fidelity-informed neural pulse-compilation framework for a continuous family of single-qubit gates on a three-qubit liquid-state nuclear magnetic resonance (NMR) processor. Instead of decomposing each target unitary into a…

Regularized least-squares approaches have been successfully applied to linear system identification. Recent approaches use quadratic penalty terms on the unknown impulse response defined by stable spline kernels, which control model space…

Machine Learning · Statistics 2018-07-27 Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto

We address the denoising of images contaminated with multiplicative noise, e.g. speckle noise. Classical ways to solve such problems are filtering, statistical (Bayesian) methods, variational methods, and methods that convert the…

Optimization and Control · Mathematics 2008-12-10 Sylvain Durand , Jalal Fadili , Mila Nikolova

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

The aim of this paper is the reconstruction of a smooth surface from an unorganized point cloud sampled by a closed surface, with the preservation of geometric shapes, without any further information other than the point cloud. Implicit…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Yesom Park , Taekyung Lee , Jooyoung Hahn , Myungjoo Kang

Background and Objective: In pulmonary nodule detection, the first stage, candidate detection, aims to detect suspicious pulmonary nodules. However, detected candidates include many false positives and thus in the following stage, false…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Hyunjun Eun , Daeyeong Kim , Chanho Jung , Changick Kim

This paper proposes to generalize linear subdivision schemes to nonlinear subdivision schemes for curve and surface modeling by refining vertex positions together with refinement of unit control normals at the vertices. For each round of…

Numerical Analysis · Mathematics 2023-05-15 Xunnian Yang

We aim to find a solution $\bm{x}\in\mathbb{C}^n$ to a system of quadratic equations of the form $b_i=\lvert\bm{a}_i^*\bm{x}\rvert^2$, $i=1,2,\ldots,m$, e.g., the well-known NP-hard phase retrieval problem. As opposed to recently proposed…

Optimization and Control · Mathematics 2019-05-28 Ji Li , Jian-Feng Cai , Hongkai Zhao

For short-wavelength VLBI observations, it is difficult to measure the phase of the visibility function accurately. The closure phases are reliable measurements under this situation, though it is not sufficient to retrieve all of the phase…

Instrumentation and Methods for Astrophysics · Physics 2018-07-20 Shiro Ikeda , Fumie Tazaki , Kazunori Akiyama , Kazuhiro Hada , Mareki Honma

In diffraction imaging, one is tasked with reconstructing a signal from its power spectrum. To resolve the ambiguity in this inverse problem, one might invoke prior knowledge about the signal, but phase retrieval algorithms in this vein…

Functional Analysis · Mathematics 2013-06-26 Afonso S. Bandeira , Yutong Chen , Dustin G. Mixon

We study iterative signal reconstruction in computed tomography (CT), wherein measurements are produced by a linear transformation of the unknown signal followed by an exponential nonlinear map. Approaches based on pre-processing the data…

Optimization and Control · Mathematics 2024-07-19 Vasileios Charisopoulos , Rebecca Willett

Purpose: To develop an automatic method of quantifying optic disc pallor in fundus photographs and determine associations with peripapillary retinal nerve fibre layer (pRNFL) thickness. Methods: We used deep learning to segment the optic…

Reflective and textureless surfaces remain a challenge in multi-view 3D reconstruction. Both camera pose calibration and shape reconstruction often fail due to insufficient or unreliable cross-view visual features. To address these issues,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Mingzhi Pei , Xu Cao , Xiangyi Wang , Heng Guo , Zhanyu Ma

We introduce a framework for the recovery of points on a smooth surface in high-dimensional space, with application to dynamic imaging. We assume the surface to be the zero-level set of a bandlimited function. We show that the exponential…

Computer Vision and Pattern Recognition · Computer Science 2018-01-04 Sunrita Poddar , Mathews Jacob

Magnetic resonance imaging (MRI) is a vital clinical diagnostic tool, yet its application is limited by prolonged scan times. Accelerating MRI reconstruction addresses this issue by reconstructing high-fidelity MR images from undersampled…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Jingran Xu , Yuanyuan Liu , Yuanbiao Yang , Zhuo-Xu Cui , Jing Cheng , Qingyong Zhu , Nannan Zhang , Yihang Zhou , Dong Liang , Yanjie Zhu

The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions. In particular, there is strong evidence that all integrable…

solv-int · Physics 2009-10-30 Martin D. Kruskal , Nalini Joshi , Rod Halburd
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