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We show how to eliminate the error caused by an incorrectly modeled boundary in electrical impedance tomography (EIT). In practical measurements, one usually lacks the exact knowledge of the boundary. Because of this the numerical…

Analysis of PDEs · Mathematics 2007-05-23 Ville Kolehmainen , Matti Lassas , Petri Ola

The Electrical Resistance Tomography (ERT) technique is applied to the measurement of sheet conductance maps of both uniform and patterned conductive thin films. Images of the sheet conductance spatial distribution, and local conductivity…

Instrumentation and Detectors · Physics 2016-06-21 Alessandro Cultrera , Luca Callegaro

Identifying, measuring and reporting lesions accurately and comprehensively from patient CT scans are important yet time-consuming procedures for physicians. Computer-aided lesion/significant-findings detection techniques are at the core of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Jinzheng Cai , Ke Yan , Chi-Tung Cheng , Jing Xiao , Chien-Hung Liao , Le Lu , Adam P. Harrison

The recent years have seen a surge of interest in methods for imaging beyond the direct line of sight. The most prominent techniques rely on time-resolved optical impulse responses, obtained by illuminating a diffuse wall with an ultrashort…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Javier Grau Chopite , Matthias B. Hullin , Michael Wand , Julian Iseringhausen

We propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is supplemented by scanning the…

Analysis of PDEs · Mathematics 2015-05-20 Peter Kuchment , Leonid Kunyansky

Multi-frequency Electrical Impedance Tomography (mfEIT) is an emerging biomedical imaging modality to reveal frequency-dependent conductivity distributions in biomedical applications. Conventional model-based image reconstruction methods…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Zhou Chen , Jinxi Xiang , Pierre Bagnaninchi , Yunjie Yang

Reconstructing visual stimulus images is a significant task in neural decoding, and up to now, most studies consider the functional magnetic resonance imaging (fMRI) as the signal source. However, the fMRI-based image reconstruction methods…

Image and Video Processing · Electrical Eng. & Systems 2024-03-12 Hongguang Pan , Zhuoyi Li , Yunpeng Fu , Xuebin Qin , Jianchen Hu

When solving inverse problems in geophysical imaging, deep generative models (DGMs) may be used to enforce the solution to display highly structured spatial patterns which are supported by independent information (e.g. the geological…

Geophysics · Physics 2021-04-28 Jorge Lopez-Alvis , Eric Laloy , Frédéric Nguyen , Thomas Hermans

This report extends our recent progress in tackling a challenging 3D inverse scattering problem governed by the Helmholtz equation. Our target application is to reconstruct dielectric constants, electric conductivities and shapes of front…

State-of-the-art electron microscopes such as scanning electron microscopes (SEM), scanning transmission electron microscopes (STEM) and transmission electron microscopes (TEM) have become increasingly sophisticated. However, the quality of…

Computational Physics · Physics 2023-03-31 I. Lobato , T. Friedrich , S. Van Aert

Magnetic Resonance Imaging can produce detailed images of the anatomy and physiology of the human body that can assist doctors in diagnosing and treating pathologies such as tumours. However, MRI suffers from very long acquisition times…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 George Yiasemis , Jan-Jakob Sonke , Clarisa Sánchez , Jonas Teuwen

Single-shot wide-angle diffraction imaging is a widely used method to investigate the structure of non-crystallizing objects such as nanoclusters, large proteins or even viruses. Its main advantage is that information about the…

Data Analysis, Statistics and Probability · Physics 2021-06-02 Thomas Stielow , Stefan Scheel

This paper introduces a new approach for solving electrical impedance tomography (EIT) problems using deep neural networks. The mathematical problem of EIT is to invert the electrical conductivity from the Dirichlet-to-Neumann (DtN) map.…

Computational Physics · Physics 2020-01-29 Yuwei Fan , Lexing Ying

Machine learning methods have shown great success in various scientific areas, including fluid mechanics. However, reconstruction problems, where full velocity fields must be recovered from partial observations, remain challenging. In this…

Fluid Dynamics · Physics 2025-01-16 Qian Zhang , Dmitry Krotov , George Em Karniadakis

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is exposed to radiation, typically light or ultrasound, and the…

Numerical Analysis · Mathematics 2024-03-26 Clemens Kirisits , Noemi Naujoks , Otmar Scherzer

Oblique images are aerial photographs taken at oblique angles to the earth's surface. Projections of vector and other geospatial data in these images depend on camera parameters, positions of the geospatial entities, surface terrain,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Pragyana Mishra , Eyal Ofek , Gur Kimchi

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known…

Computational Physics · Physics 2019-02-06 T. Ramos , Bastian E. Grønager , Martin Skovgaard Andersen , J. W. Andreasen

We develop an algorithm for reconstruction of elastic strain fields from their Longitudinal Ray Transform (LRT) in either two or three dimensions. In general, the LRT only determines the solenoidal part of a symmetric tensor field, but…

Numerical Analysis · Mathematics 2024-08-21 Chris Wensrich , Sean Holman , William Lionheart , Matias Courdurier , Anna Polyakova , Ivan Svetov , Ty Doubikin

We present a new method for vectorization of technical line drawings, such as floor plans, architectural drawings, and 2D CAD images. Our method includes (1) a deep learning-based cleaning stage to eliminate the background and imperfections…

Computer Vision and Pattern Recognition · Computer Science 2021-01-20 Vage Egiazarian , Oleg Voynov , Alexey Artemov , Denis Volkhonskiy , Aleksandr Safin , Maria Taktasheva , Denis Zorin , Evgeny Burnaev

In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by illuminating it with probing waves and recording the…

Numerical Analysis · Mathematics 2023-05-16 Florian Faucher , Clemens Kirisits , Michael Quellmalz , Otmar Scherzer , Eric Setterqvist