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Related papers: 2D and 3D reconstructions in acousto-electric tomo…

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Electron ptychography describes a family of algorithms which are used to enable the reconstruction of complex specimen transmission functions of a sample in order to obtain both phase and amplitude information, as applied within the realms…

Optics · Physics 2025-03-17 L. Clark , P. D. Nellist

The aim of this paper is to tackle the nonlinear optical reconstruction problem. Given a set of acousto-optic measurements, we develop a mathematical framework for the reconstruction problem in the case where the optical absorption…

Analysis of PDEs · Mathematics 2014-03-25 Habib Ammari , Josselin Garnier , Loc Hoang Nguyen , Laurent Seppecher

Ultrasound computed tomography (USCT) is an emerging medical imaging modality that holds great promise for improving human health. Full-waveform inversion (FWI)-based image reconstruction methods account for the relevant wave physics to…

Medical Physics · Physics 2023-10-20 Fu Li , Umberto Villa , Nebojsa Duric , Mark A. Anastasio

Reflective and textureless surfaces such as windows, mirrors, and walls can be a challenge for object and scene reconstruction. These surfaces are often poorly reconstructed and filled with depth discontinuities and holes, making it…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Justin Wilson , Nicholas Rewkowski , Ming C. Lin , Henry Fuchs

Four-dimensional Scanning Transmission Electron Microscopy (4D-STEM) is a powerful technique for high-resolution and high-precision materials characterization at multiple length scales, including the characterization of beam-sensitive…

Applied Physics · Physics 2023-08-11 Hsu-Chih Ni , Renliang Yuan , Jiong Zhang , Jian-Min Zuo

This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from…

Analysis of PDEs · Mathematics 2012-03-07 Guillaume Bal , Gunther Uhlmann

Accurate computational ptychographic phase reconstructions are enabled by fast direct-electron cameras with high dynamic ranges used for four-dimensional scanning transmission electron microscopy (4D-STEM). The availability of open software…

Materials Science · Physics 2025-05-01 Toma Susi

Here we show that compressive sensing allow 4-dimensional (4-D) STEM data to be obtained and accurately reconstructed with both high-speed and low fluence. The methodology needed to achieve these results compared to conventional 4-D…

Quantitative imaging in MRI usually involves acquisition and reconstruction of a series of images at multi-echo time points, which possibly requires more scan time and specific reconstruction technique compared to conventional qualitative…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Jinwei Zhang , Hang Zhang , Chao Li , Pascal Spincemaille , Mert Sabuncu , Thanh D. Nguyen , Yi Wang

We develop a boundary integral equation-based numerical method to solve for the electrostatic potential in two dimensions, inside a medium with piecewise constant conductivity, where the boundary condition is given by the complete electrode…

Numerical Analysis · Mathematics 2024-03-28 Teemu Tyni , Adam R Stinchcombe , Spyros Alexakis

Volumetric biological imaging often involves compromising high temporal resolution at the expense of high spatial resolution when popular scanning methods are used to capture 3D information. We introduce an integrated experimental and image…

We introduce an active 3D reconstruction method which integrates visual perception, robot-object interaction, and 3D scanning to recover both the exterior and interior, i.e., unexposed, geometries of a target 3D object. Unlike other works…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Zihao Yan , Fubao Su , Mingyang Wang , Ruizhen Hu , Hao Zhang , Hui Huang

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

Tomography can be used to reveal internal properties of a 3D object using any penetrating wave. Advanced tomographic imaging techniques, however, are vulnerable to both systematic and random errors associated with the experimental…

Numerical Analysis · Mathematics 2019-02-08 Anthony P. Austin , Zichao Wendy Di , Sven Leyffer , Stefan M. Wild

This short note modifies a reconstruction method by the author (Comm. PDE, 45(9):1118-1133, 2020), for reconstructing piecewise constant conductivities in the Calder\'on problem (electrical impedance tomography). In the former paper, a…

Analysis of PDEs · Mathematics 2025-12-08 Henrik Garde

The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an integro-differential formulation of the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Mariano Pascale , Roberto Tricarico

This article describes a method called Lorentz Force Electrical Impedance Tomography. The electrical conductivity of biological tissues can be measured through their sonication in a magnetic field: the vibration of the tissues inside the…

Medical Physics · Physics 2014-02-12 Pol Grasland-Mongrain , Jean-Martial Mari , Jean-Yves Chapelon , Cyril Lafon

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

Objective: The strengths of Electrical Impedance Tomography (EIT) are its capability of imaging the internal body by using a noninvasive, radiation safe technique, and the absence of known hazards. In this paper we introduce a novel idea of…

Signal Processing · Electrical Eng. & Systems 2022-03-08 Sebastien Martin
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