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In phase-contrast magnetic resonance imaging (PC-MRI), spin velocity contributes to the phase measured at each voxel. Therefore, estimating velocity from potentially wrapped phase measurements is the task of solving a system of noisy…

Image and Video Processing · Electrical Eng. & Systems 2022-07-21 Shen Zhao , Rizwan Ahmad , Lee C. Potter

Noise characterization in MRI has multiple applications, including quality assurance and protocol optimization. It is particularly important in the presence of parallel imaging acceleration, where the noise distribution can contain severe…

This paper presents several new algorithms for the regularized reconstruction of a surface from its measured gradient field. By taking a matrix-algebraic approach, we establish general framework for the regularized reconstruction problem…

Numerical Analysis · Mathematics 2013-08-21 Matthew Harker , Paul O'Leary

We propose a radical advance in Magnetic Resonance Imaging. MRI remains slow because it requires successive applications of magnetic field gradients to encode for spatial location. Parallel MRI accelerates imaging by permitting…

Medical Physics · Physics 2018-09-19 Michael Hutchinson , Ulrich Raff , Luis Osorio

Dynamic positron emission tomography (PET) reconstruction often presents high noise due to the use of short duration frames to describe the kinetics of the radiotracer. Here we introduce a new method to calculate a kernel matrix to be used…

Medical Physics · Physics 2026-01-01 Alan Miranda , Steven Staelens

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

Numerical Analysis · Computer Science 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

High-resolution whole-brain in vivo MR imaging at mesoscale resolutions remains challenging due to long scan durations, motion artifacts, and limited signal-to-noise ratio (SNR). This study proposes Rotating-view super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2025-05-26 Jun Lyu , Lipeng Ning , William Consagra , Qiang Liu , Richard J. Rushmore , Berkin Bilgic , Yogesh Rathi

Implicit Neural Representations (INRs) have revolutionized signal processing and computer vision by modeling signals as continuous, differentiable functions parameterized by neural networks. However, INRs are prone to the spectral bias…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Ali Haider , Muhammad Salman Ali , Maryam Qamar , Tahir Khalil , Soo Ye Kim , Jihyong Oh , Enzo Tartaglione , Sung-Ho Bae

Parallel imaging is a widely-used technique to accelerate magnetic resonance imaging (MRI). However, current methods still perform poorly in reconstructing artifact-free MRI images from highly undersampled k-space data. Recently, implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Ruimin Feng , Qing Wu , Yuyao Zhang , Hongjiang Wei

We present a real-time visual-inertial dense mapping method capable of performing incremental 3D mesh reconstruction with high quality using only sequential monocular images and inertial measurement unit (IMU) readings. 6-DoF camera poses…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Yingye Xin , Xingxing Zuo , Dongyue Lu , Stefan Leutenegger

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

Instrumentation and Methods for Astrophysics · Physics 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

Parametric images provide insight into the spatial distribution of physiological parameters, but they are often extremely noisy, due to low SNR of tomographic data. Direct estimation from projections allows accurate noise modeling,…

Neural implicit surface reconstruction has achieved remarkable progress recently. Despite resorting to complex radiance modeling, state-of-the-art methods still struggle with textureless and specular surfaces. Different from RGB images,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Guangcheng Chen , Yicheng He , Li He , Hong Zhang

We formulate a physics-informed compressed sensing (PICS) method for the reconstruction of velocity fields from noisy and sparse phase-contrast magnetic resonance signals. The method solves an inverse Navier-Stokes boundary value problem,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Alexandros Kontogiannis , Matthew P. Juniper

Statistical image reconstruction (SIR) methods for X-ray CT produce high-quality and accurate images, while greatly reducing patient exposure to radiation. When further reducing X-ray dose to an ultra-low level by lowering the tube current,…

Medical Physics · Physics 2018-01-30 Qiaoqiao Ding , Yong Long , Xiaoqun Zhang , Jeffrey A. Fessler

Stochastic sampling techniques are ubiquitous in real-time rendering, where performance constraints force the use of low sample counts, leading to noisy intermediate results. To remove this noise, the post-processing step of temporal and…

Graphics · Computer Science 2023-10-25 William Donnelly , Alan Wolfe , Judith Bütepage , Jon Valdés

We present MILO (Metric for Image- and Latent-space Optimization), a lightweight, multiscale, perceptual metric for full-reference image quality assessment (FR-IQA). MILO is trained using pseudo-MOS (Mean Opinion Score) supervision, in…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Uğur Çoğalan , Mojtaba Bemana , Karol Myszkowski , Hans-Peter Seidel , Colin Groth

Background: X-nuclei imaging (e.g. 31P MRI) suffers low SNR due to lower gyromagnetic ratios and tissue concentrations than 1H MRI. Enhancing SNR requires high fields, advanced coils, optimized sequences, and sophisticated reconstruction…

Medical Physics · Physics 2024-10-08 Pontus Pandurevic , Mark Stephan Widmaier , Zhiwei Huang , Lijing Xin

Importance weighted variational inference (VI) approximates densities known up to a normalizing constant by optimizing bounds that tighten with the number of Monte Carlo samples $N$. Standard optimization relies on reparameterized gradient…

Machine Learning · Statistics 2026-02-03 Kamélia Daudel , Minh-Ngoc Tran , Cheng Zhang

This dissertation is devoted to provide advanced nonconvex nonsmooth variational models of (Magnetic Resonance Image) MRI reconstruction, efficient learnable image reconstruction algorithms and parameter training algorithms that improve the…

Optimization and Control · Mathematics 2023-03-06 Wanyu Bian