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This paper reports on a novel compact, low-loss bending technique for additively manufactured dielectric image lines between 140 GHz and 220 GHz. Conventional bending approaches require either large curvature radii or technologically…

Applied Physics · Physics 2024-05-02 Leonhard Hahn , Tobias Bader , Christian Carlowitz , Martin Vossiek , Gerald Gold

An optimization-based image reconstruction algorithm is developed for contrast enhanced digital breast tomosynthesis (DBT) using dual-energy scanning. The algorithm minimizes directional total variation (TV) with a data discrepancy and…

We introduce a model-based iterative method to obtain shear modulus images of tissue using magnetic resonance elastography. The method jointly finds the displacement field that best fits multifrequency tissue displacement data and the…

Signal Processing · Electrical Eng. & Systems 2021-11-25 Shahed Mohammed , Mohammad Honarvar , Qi Zeng , Hoda Hashemi , Robert Rohling , Piotr Kozlowski , Septimiu Salcudean

In computational PDE-based inverse problems, a finite amount of data is collected to infer unknown parameters in the PDE. In order to obtain accurate inferences, the collected data must be informative about the unknown parameters. How to…

Numerical Analysis · Mathematics 2021-05-04 Tan Bui-Thanh , Qin Li , Leonardo Zepeda-Núñez

Intensity modulated radiotherapy (IMRT) is one of the most common modalities for treating cancer patients. One of the biggest challenges is precise treatment delivery that accounts for varying motion patterns originating from…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Matej Gazda , Peter Drotar , Liset Vazquez Romaguera , Samuel Kadoury

In recent years, deep learning-based image compression, particularly through generative models, has emerged as a pivotal area of research. Despite significant advancements, challenges such as diminished sharpness and quality in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-18 Ryugo Morita , Hitoshi Nishimura , Ko Watanabe , Andreas Dengel , Jinjia Zhou

Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is…

A computational method is introduced for choosing the regularization parameter for total variation (TV) regularization. The approach is based on computing reconstructions at a few different resolutions and various values of regularization…

Hyperspectral image analysis often requires selecting the most informative bands instead of processing the whole data without losing the key information. Existing band reduction (BR) methods have the capability to reveal the nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Muhammad Ahmad , Asad Khan , Adil Mehmood Khan , Rasheed Hussain

This paper focuses on the acousto-electromagnetic tomography, a recently introduced hybrid imaging technique. In a previous work, the reconstruction of the electric permittivity of the medium from internal data was achieved under the Born…

Analysis of PDEs · Mathematics 2019-04-04 Giovanni S. Alberti , Habib Ammari , Kaixi Ruan

We present a study of the numerical solution of the two dimensional electrical impedance tomography problem, with noisy measurements of the Dirichlet to Neumann map. The inversion uses parametrizations of the conductivity on optimal grids.…

Mathematical Physics · Physics 2015-06-03 Liliana Borcea , Fernando Guevara Vasquez , Alexander V. Mamonov

In this paper we present a novel iterative procedure for multichannel image and data reconstruction using Bregman distances. With the motivation that multiple channels sharing a common subgradient with respect to a suitable regularization…

Numerical Analysis · Mathematics 2014-12-18 Michael Moeller , Eva-Maria Brinkmann , Martin Burger , Tamara Seybold

Electrical impedance tomography (EIT) is an imaging modality in which the conductivity distribution inside a target is reconstructed based on voltage measurements from the surface of the target. Reconstructing the conductivity distribution…

Mathematical Physics · Physics 2012-07-05 Antti Lipponen , Aku Seppänen , Jari Kaipio

Synthetic aperture radar (SAR) tomography (TomoSAR) enables the reconstruction and three-dimensional (3D) localization of targets based on multiple two-dimensional (2D) observations of the same scene. The resolving along the elevation…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Silin Gao , Zhe Zhang , Bingchen Zhang , Yirong Wu

This paper proposes a novel approach to reconstruct changes in a target conductivity from electrical impedance tomography measurements. As in the conventional difference imaging, the reconstruction of the conductivity change is based on…

Computational Physics · Physics 2014-03-27 Dong Liu , Ville Kolehmainen , Samuli Siltanen , Anne maria Laukkanen , Aku Seppanen

The aim of Electrical Impedance Tomography (EIT) is to determine the electrical conductivity distribution inside a domain by applying currents and measuring voltages on its boundary. Mathematically, the EIT reconstruction task can be…

Numerical Analysis · Mathematics 2024-05-07 Monica Pragliola , Daniela Calvetti , Erkki Somersalo

Image restoration requires a careful balance between noise suppression and structure preservation. While first-order total variation (TV) regularization effectively preserves edges, it often introduces staircase artifacts, whereas…

Numerical Analysis · Mathematics 2025-11-13 Liang Luo , Lei Zhang

This paper presents a multi-resolution reconstruction method for Electrical Impedance Tomography (EIT), referred to as MR-EIT, which is capable of operating in both supervised and unsupervised learning modes. MR-EIT integrates an ordered…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Fangming Shi , Jinzhen Liu , Xiangqian Meng , Yapeng Zhou , Hui Xiong

In this paper, we investigate a non-iterative imaging algorithm based on the topological derivative in order to retrieve the shape of penetrable electromagnetic inclusions when their dielectric permittivity and/or magnetic permeability…

Mathematical Physics · Physics 2013-05-14 Won-Kwang Park

We study the problem of recovering piecewise-polynomial periodic functions from their low-frequency information. This means that we only have access to possibly corrupted versions of the Fourier samples of the ground truth up to a maximum…

Optimization and Control · Mathematics 2022-02-11 Thomas Debarre , Quentin Denoyelle , Julien Fageot