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We present a direct method for limited angle tomographic reconstruction using convolutional networks. The key to our method is to first stretch every tilt view in the direction perpendicular to the tilt axis by the secant of the tilt angle.…

图像与视频处理 · 电气工程与系统科学 2023-06-21 Kyle Luther , Sebastian Seung

In this paper we study the problem of photoacoustic inversion in a weakly attenuating medium. We present explicit reconstruction formulas in such media and show that the inversion based on such formulas is moderately ill--posed. Moreover,…

数值分析 · 数学 2018-01-17 Otmar Scherzer , Cong Shi

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

数值分析 · 数学 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

Solving inverse problems requires the knowledge of the forward operator, but accurate models can be computationally expensive and hence cheaper variants that do not compromise the reconstruction quality are desired. This chapter reviews…

数值分析 · 数学 2024-03-19 Simon Arridge , Andreas Hauptmann , Yury Korolev

In computational optical imaging and wireless communications, signals are acquired through linear coded and noisy projections, which are recovered through computational algorithms. Deep model-based approaches, i.e., neural networks…

信号处理 · 电气工程与系统科学 2025-01-22 Roman Jacome , Leon Suarez , Romario Gualdrón-Hurtado , Luis Gonzalez , Henry Arguello

Advancements in synthesized speech have created a growing threat of impersonation, making it crucial to develop deepfake algorithm recognition. One significant aspect is out-of-distribution (OOD) detection, which has gained notable…

音频与语音处理 · 电气工程与系统科学 2024-06-05 Renmingyue Du , Jixun Yao , Qiuqiang Kong , Yin Cao

In this work, we investigate the application of deep learning methods for computed tomography in the context of having a low-data regime. As motivation, we review some of the existing approaches and obtain quantitative results after…

图像与视频处理 · 电气工程与系统科学 2021-04-20 Daniel Otero Baguer , Johannes Leuschner , Maximilian Schmidt

Sound field reconstruction refers to the problem of estimating the acoustic pressure field over an arbitrary region of space, using only a limited set of measurements. Physics-informed neural networks have been adopted to solve the problem…

音频与语音处理 · 电气工程与系统科学 2025-06-05 Stefano Damiano , Toon van Waterschoot

Reconstructing flow fields from sparse measurements is a fundamental problem in fluid mechanics with broad implications for modeling, control, and design. In this work, we propose a novel operator learning framework that leverages the…

计算工程、金融与科学 · 计算机科学 2026-05-25 Qian Zhang , George Em Karniadakis

There has been an increasing interest in utilizing machine learning methods in inverse problems and imaging. Most of the work has, however, concentrated on image reconstruction problems, and the number of studies regarding the full solution…

计算物理 · 物理学 2024-10-10 Teemu Sahlström , Tanja Tarvainen

Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside the object. In the standard PAT measurement setup, the used…

偏微分方程分析 · 数学 2021-12-07 Linh V. Nguyen , Markus Haltmeier , Richard Kowar , Ngoc Do

Data reconstruction attacks on trained neural networks aim to recover the data on which the network has been trained and pose a significant threat to privacy, especially if the training dataset contains sensitive information. Here, we…

机器学习 · 计算机科学 2026-05-08 Edward Tansley , Roy Makhlouf , Estelle Massart , Coralia Cartis

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

Limited-view artefacts are commonly present in optoacoustic tomography images, mainly due to practical geometrical and physical constraints imposed by the imaging systems as well as limited light penetration into large optically opaque…

光学 · 物理学 2015-12-11 X L Dean-Ben , L Ding , D Razansky

Investigation of image reconstruction from data collected over a limited angular range in X-ray CT remains a topic of active research because it may yield insight into the development of imaging workflow of practical significance. This…

医学物理 · 物理学 2021-03-02 Zheng Zhang , Buxin Chen , Dan Xia , Emil Y. Sidky , Xiaochuan Pan

Exploiting a priori known structural information lies at the core of many image reconstruction methods that can be stated as inverse problems. The synthesis model, which assumes that images can be decomposed into a linear combination of…

机器学习 · 计算机科学 2015-06-04 Simon Hawe , Martin Kleinsteuber , Klaus Diepold

Iterative ptychographic reconstruction algorithms are widely used for coherent diffractive imaging but can exhibit slow convergence under realistic experimental conditions. We propose a machine learning-augmented approach that accelerates…

In photoacoustic tomography (PAT), a hybrid imaging modality that is based on the acoustic detection of optical absorption from biological tissue exposed to a pulsed laser, a short pulse laser generates an initial pressure proportional to…

数值分析 · 数学 2026-03-27 Sunghwan Moon , Anwesa Dey , Souvik Roy

In many applications of tomography, the acquired projections are either limited in number or contain a significant amount of noise. In these cases, standard reconstruction methods tend to produce artifacts that can make further analysis…

数值分析 · 数学 2016-04-11 D. M. Pelt , K. J. Batenburg

Measuring attenuation coefficients is a fundamental problem that can be solved with diverse techniques such as X-ray or optical tomography and lidar. We propose a novel approach based on the observation of a sample from a few different…

最优化与控制 · 数学 2017-01-11 Valentin Debarnot , Jonas Kahn , Pierre Weiss