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Purpose: To achieve automatic hyperparameter estimation for the joint recovery of quantitative MR images, we propose a Bayesian formulation of the reconstruction problem that incorporates the signal model. Additionally, we investigate the…

图像与视频处理 · 电气工程与系统科学 2023-09-12 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Photoacoustic tomography (PAT) is a novel and rapidly promising technique in the field of medical imaging, based on the generation of acoustic waves inside an object of interest by stimulating non-ionizing laser pulses. This acoustic wave…

偏微分方程分析 · 数学 2022-02-08 Hyungyeong Jung , Sunghwan Moon

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

信息论 · 计算机科学 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

Two complementary approaches have been extensively used in signal and image processing leading to novel results, the sparse representation methodology and the variational strategy. Recently, a new sparsity based model has been proposed, the…

计算机视觉与模式识别 · 计算机科学 2015-08-17 Raja Giryes , Michael Elad , Alfred M. Bruckstein

We consider image reconstruction in full-field photoacoustic tomography, where 2D projections of the full 3D acoustic pressure distribution at a given time T>0 are collected. We discuss existing results on the stability and uniqueness of…

数值分析 · 数学 2024-12-20 Markus Haltmeier , Gerhard Zangerl , Robert Nuster , Linh V. Nguyen

Estimating shape and appearance of a three dimensional object from a given set of images is a classic research topic that is still actively pursued. Among the various techniques available, PS is distinguished by the assumption that the…

计算机视觉与模式识别 · 计算机科学 2017-10-02 Georg Radow , Laurent Hoeltgen , Yvain Quéau , Michael Breuß

We present and analyze a novel sparse polynomial technique for the simultaneous approximation of parameterized partial differential equations (PDEs) with deterministic and stochastic inputs. Our approach treats the numerical solution as a…

数值分析 · 数学 2020-01-22 Nick Dexter , Hoang Tran , Clayton Webster

Photoacoustic imaging (PAI) suffers from inherent limitations that can degrade the quality of reconstructed results, such as noise, artifacts and incomplete data acquisition caused by sparse sampling or partial array detection. In this…

光学 · 物理学 2025-01-07 Yu Zhang , Shuang Li , Yibing Wang , Yu Sun , Wenyi Xiang

Purpose: Undersampling is used to reduce the scan time for high-resolution 3D magnetic resonance imaging. In order to achieve better image quality and avoid manual parameter tuning, we propose a probabilistic Bayesian approach to recover…

图像与视频处理 · 电气工程与系统科学 2022-10-20 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

信息论 · 计算机科学 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

Low-dose tomography is highly preferred in medical procedures for its reduced radiation risk when compared to standard-dose Computed Tomography (CT). However, the lower the intensity of X-rays, the higher the acquisition noise and hence the…

图像与视频处理 · 电气工程与系统科学 2019-12-24 Preeti Gopal , Sharat Chandran , Imants Svalbe , Ajit Rajwade

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of projections. The use of such reconstruction methods is…

数值分析 · 数学 2014-08-05 Jakob S. Jørgensen , Emil Y. Sidky , Per Christian Hansen , Xiaochuan Pan

Compressed sensing magnetic resonance imaging (CS-MRI) heavily relies on the low mutual coherence between the measurement matrix and the sparsity basis. However, under highly accelerated Cartesian undersampling, the severe structural…

信号处理 · 电气工程与系统科学 2026-05-05 Siyuan Feng

Ultrasound imaging faces a trade-off between image quality and hardware complexity caused by dense transducers. Sparse arrays are one popular solution to mitigate this challenge. This work proposes an end-to-end optimization framework that…

图像与视频处理 · 电气工程与系统科学 2026-04-01 Sergio Urrea , Adrian Basarab , Hervé Liebgott , Henry Arguello

Binary tomography is concerned with reconstructing a binary image from a very small number or other limited CT projection data. This problem itself not only possesses several medical imaging applications but also can be considered a model…

图像与视频处理 · 电气工程与系统科学 2022-08-24 Haytham A. Ali , Katsuya Fujii , Hiroyuki Kudo

Retinal Optical Coherence Tomography Angiography (OCTA) with high-resolution is important for the quantification and analysis of retinal vasculature. However, the resolution of OCTA images is inversely proportional to the field of view at…

图像与视频处理 · 电气工程与系统科学 2022-07-26 Huaying Hao , Cong Xu , Dan Zhang , Qifeng Yan , Jiong Zhang , Yue Liu , Yitian Zhao

In this paper we consider the inverse problem of vibro-acoustography, a technique for enhancing ultrasound imaging by making use of nonlinear effects. It amounts to determining two spatially variable coefficients in a system of PDEs…

数值分析 · 数学 2023-03-31 Barbara Kaltenbacher ans teresa Rauscher

The development of efficient and accurate reconstruction methods is an important aspect of tomographic imaging. In this article, we address this issue for photoacoustic tomography. To this aim, we use models for acoustic wave propagation…

数值分析 · 数学 2017-11-22 Markus Haltmeier , Richard Kowar , Linh V. Nguyen

We study the deep image prior (DIP) framework applied to photoacoustic tomography (PAT) as an unsupervised reconstruction approach to mitigate limited-view artifacts and noise commonly encountered in experimental settings. Efficient…

图像与视频处理 · 电气工程与系统科学 2026-04-22 Hanna Pulkkinen , Jenni Poimala , Leonid Kunyansky , Janek Gröhl , Andreas Hauptmann