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We propose a method to reconstruct sparse signals degraded by a nonlinear distortion and acquired at a limited sampling rate. Our method formulates the reconstruction problem as a nonconvex minimization of the sum of a data fitting term and…

最优化与控制 · 数学 2023-01-19 Arthur Marmin , Marc Castella , Jean-Christophe Pesquet , Laurent Duval

Purpose: Photoacoustic tomography (PAT) is a novel imaging technique that can spatially resolve both morphological and functional tissue properties, such as the vessel topology and tissue oxygenation. While this capacity makes PAT a…

High-quality imaging in photoacoustic computed tomography (PACT) usually requires a high-channel count system for dense spatial sampling around the object to avoid aliasing-related artefacts. To reduce system complexity, various image…

图像与视频处理 · 电气工程与系统科学 2024-09-24 Bowei Yao , Shilong Cui , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Jingyi Yu , Yuyao Zhang , Xiran Cai

Photoacoustic tomography (PAT) is a hybrid medical imaging technique that offer high contrast and a high spatial resolution. One challenging mathematical problem associated with PAT is reconstructing the initial pressure of the wave…

数值分析 · 数学 2024-07-16 Gyeongha Hwang , Gihyeon Jeon , Sunghwan Moon , Dabin Park

Photoacoustic (PA) computed tomography (PACT) shows great potentials in various preclinical and clinical applications. A great number of measurements are the premise that obtains a high-quality image, which implies a low imaging rate or a…

计算机视觉与模式识别 · 计算机科学 2021-06-01 Hengrong Lan , Juze Zhang , Changchun Yang , Fei Gao

Photoacoustic imaging is an emerging imaging modality that is based upon the photoacoustic effect. In photoacoustic tomography (PAT), the induced acoustic pressure waves are measured by an array of detectors and used to reconstruct an image…

计算机视觉与模式识别 · 计算机科学 2019-04-26 Steven Guan , Amir Khan , Siddhartha Sikdar , Parag V. Chitnis

Photoacoustic tomography (PAT) is an emerging imaging modality that aims at measuring the high-contrast optical properties of tissues by means of high-resolution ultrasonic measurements. The interaction between these two types of waves is…

偏微分方程分析 · 数学 2021-07-27 Giovanni S. Alberti , Paolo Campodonico , Matteo Santacesaria

We investigate resolution in photoacoustic tomography (PAT). Using Shannon theory, we investigate the theoretical resolution limit of sparse view PAT theoretically, and empirically demonstrate that all reconstruction methods used exceed…

Computed tomography is widely used to examine internal structures in a non-destructive manner. To obtain high-quality reconstructions, one typically has to acquire a densely sampled trajectory to avoid angular undersampling. However, many…

图像与视频处理 · 电气工程与系统科学 2020-12-10 Haoyu Wei , Florian Schiffers , Tobias Würfl , Daming Shen , Daniel Kim , Aggelos K. Katsaggelos , Oliver Cossairt

Photoacoustic computed tomography (PACT) is a non-invasive imaging modality, similar to ultrasound, with wide-ranging medical applications. Conventional PACT images are degraded by wavefront distortion caused by the heterogeneous speed of…

图像与视频处理 · 电气工程与系统科学 2025-08-05 Tianao Li , Manxiu Cui , Cheng Ma , Emma Alexander

In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that arises in various research areas, e.g. fluid dynamics and…

最优化与控制 · 数学 2011-04-04 Yu Mao , Bin Dong , Stanley Osher

Photoacoustic tomography (PAT) is an emerging and non-invasive hybrid imaging modality for visualizing light absorbing structures in biological tissue. The recently invented PAT systems using arrays of 64 parallel integrating line detectors…

数值分析 · 数学 2018-08-31 Johannes Schwab , Stephan Antholzer , Robert Nuster , Markus Haltmeier

Motivated by applications in imaging nonlinear optical absorption by photoacoustic tomography (PAT), we study in this work inverse coefficient problems for a semilinear radiative transport equation and its diffusion approximation with…

偏微分方程分析 · 数学 2021-07-20 Ru-Yu Lai , Kui Ren , Ting Zhou

The photoacoustic tomography (PAT) is a hybrid modality that combines the optics and acoustics to obtain high resolution and high contrast imaging of heterogeneous media. In this work, our objective is to study the inverse problem in the…

数值分析 · 数学 2021-05-26 Hongkai Zhao , Yimin Zhong

Multispectral photoacoustic tomography (PAT) is an imaging modality that utilizes the photoacoustic effect to achieve non-invasive and high-contrast imaging of internal tissues. However, the hardware cost and computational demand of a…

图像与视频处理 · 电气工程与系统科学 2024-04-11 Yutian Zhong , Xiaoming Zhang , Zongxin Mo , Shuangyang Zhang , Wufan Chen , Li Qi

Photoacoustic imaging (PAI) is a non-invasive imaging modality that detects the ultrasound signal generated from tissue with light excitation. Photoacoustic computed tomography (PACT) uses unfocused large-area light to illuminate the target…

图像与视频处理 · 电气工程与系统科学 2022-04-13 Hengrong Lan , Jiali Gong , Fei Gao

We describe a probabilistic, {\it sublinear} runtime, measurement-optimal system for model-based sparse recovery problems through dimensionality reducing, {\em dense} random matrices. Specifically, we obtain a linear sketch $u\in \R^M$ of a…

信息论 · 计算机科学 2012-06-22 Anastasios Kyrillidis , Volkan Cevher

Accurate image reconstruction is crucial for photoacoustic (PA) computed tomography (PACT). Recently, deep learning has been used to reconstruct the PA image with a supervised scheme, which requires high-quality images as ground truth…

图像与视频处理 · 电气工程与系统科学 2023-09-22 Hengrong Lan , Lijie Huang , Zhiqiang Li , Jing Lv , Jianwen Luo

We present a strategy for the recovery of a sparse solution of a common problem in acoustic engineering, which is the reconstruction of sound source levels and locations applying microphone array measurements. The considered task bears…

最优化与控制 · 数学 2016-07-04 Laurent Hoeltgen , Michael Breuß , Gert Herold , Ennes Sarradj