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Optical diffraction tomography (ODT), initially described in the seminal paper of Emil Wolf [Opt. Comm., 1(4), 153-156 (1969)], has received renewed attention recently. The vast majority of ODT experiments reported to date have been 3D…

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

偏微分方程分析 · 数学 2023-11-29 General Ozochiawaeze

Photon transport through a diffusing slab can be described by the radiative transfer equation (RTE). When the slab is highly scattering and weakly absorbing, the RTE simplifies to the diffusion equation. In this paper, an inverse diffusion…

This paper is concerned with time domain forward scattering and inverse scattering problems with a single moving point source as the emitter. Approximate solutions are provided for the forward scattering problem with a moving emitter.…

数值分析 · 数学 2025-10-13 Yu Sun , Bo Chen , Peng Gao , Qiuyi Li , Yao Sun

The inverse scattering problem, whose goal is to reconstruct an unknown scattering object from its scattered wave, is essential in fundamental wave physics and its wide applications in imaging sciences. However, it remains challenging to…

光学 · 物理学 2021-09-08 Moosung Lee , Herve Hugonnet , YongKeun Park

Ghost imaging leverages a single-pixel detector with no spatial resolution to acquire object echo intensity signals, which are correlated with illumination patterns to reconstruct an image. This architecture inherently mitigates scattering…

光学 · 物理学 2025-12-01 Yue-Gang Li , Ze Zheng , Jun-jie Wang , Ming He , Jianping Fan , Tailong Xiao , Guihua Zeng

We derive computed tomography (CT) of a time-varying volumetric translucent object, using a small number of moving cameras. We particularly focus on passive scattering tomography, which is a non-linear problem. We demonstrate the approach…

计算机视觉与模式识别 · 计算机科学 2020-12-08 Roi Ronen , Yoav Y. Schechner , Eshkol Eytan

Inverse wave scattering aims at determining the properties of an object using data on how the object scatters incoming waves. In order to collect information, sensors are put in different locations to send and receive waves from each other.…

机器学习 · 计算机科学 2026-01-22 Hanyang Jiang , Yuehaw Khoo , Haizhao Yang

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects…

信号处理 · 电气工程与系统科学 2020-12-17 Ajinkya Kadu , Hassan Mansour , Petros T. Boufounos

We present a tomographic imaging technique, termed Deep Prior Diffraction Tomography (DP-DT), to reconstruct the 3D refractive index (RI) of thick biological samples at high resolution from a sequence of low-resolution images collected…

图像与视频处理 · 电气工程与系统科学 2021-11-18 Kevin C. Zhou , Roarke Horstmeyer

This paper concerns the reconstruction of the scattering coefficient in a two-dimensional transport equation from angularly averaged measurements when the probing source is isotropic and time-harmonic. This is a practical setting in the…

偏微分方程分析 · 数学 2011-10-17 Guillaume Bal , Francois Monard

Cells alter the path of light, a fact that leads to well-known aberrations in single cell or tissue imaging. Optical diffraction tomography (ODT) measures the biophysical property that causes these aberrations, the refractive index (RI).…

定量方法 · 定量生物学 2017-08-14 Mirjam Schürmann , Gheorghe Cojoc , Salvatore Girardo , Elke Ulbricht , Jochen Guck , Paul Müller

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

数值分析 · 数学 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

In dynamic tomography the object undergoes changes while projections are being acquired sequentially in time. The resulting inconsistent set of projections cannot be used directly to reconstruct an object corresponding to a time instant.…

图像与视频处理 · 电气工程与系统科学 2024-01-30 Berk Iskender , Marc L. Klasky , Yoram Bresler

We present 3DeepCT, a deep neural network for computed tomography, which performs 3D reconstruction of scattering volumes from multi-view images. Our architecture is dictated by the stationary nature of atmospheric cloud fields. The task of…

图像与视频处理 · 电气工程与系统科学 2020-12-14 Yael Sde-Chen , Yoav Y. Schechner , Vadim Holodovsky , Eshkol Eytan

We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer…

数值分析 · 数学 2015-06-05 Kazufumi Ito , Bangti Jin , Jun Zou

Optical diffraction tomography (ODT) is a powerful non-invasive 3D imaging technique, but its combination with broadband light sources is difficult. In this study, we introduce ultrabroadband ODT, covering over 150 nm of visible spectral…

This work focuses on 3D Radar imaging inverse problems. Current methods obtain undifferentiated results that suffer task-depended information retrieval loss and thus don't meet the task's specific demands well. For example, biased…

信号处理 · 电气工程与系统科学 2022-11-29 Xu Zhan , Xiaoling Zhang , Mou Wang , Jun Shi , Shunjun Wei , Tianjiao Zeng

We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an…

数值分析 · 数学 2024-07-11 Robert Beinert , Michael Quellmalz

In Optical diffraction tomography, the multiply scattered field is a nonlinear function of the refractive index of the object. The Rytov method is a linear approximation of the forward model, and is commonly used to reconstruct images.…