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In this paper, we consider rods whose thickness vary linearly between $\eps$ and $\eps^2$. Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the…

Analysis of PDEs · Mathematics 2016-05-26 Georges Griso , Manuel Villanueva Pesqueira

The interest of compressive sampling in ultrasound imaging has been recently extensively evaluated by several research teams. Following the different application setups, it has been shown that the RF data may be reconstructed from a small…

Computer Vision and Pattern Recognition · Computer Science 2015-12-07 Zhouye Chen , Adrian Basarab , Denis Kouamé

Accurately measuring mechanical displacements is essential for a vast portion of current technologies. Several optical techniques accomplish this task, allowing for non-contact sensing even below the diffraction limit. Here we introduce an…

Destriping is a classical problem in remote sensing image processing. Although considerable effort has been made to remove stripes, few of the existing methods can eliminate stripe noise with arbitrary orientations. This situation makes the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Xinxin Liu , Xiliang Lu , Huanfeng Shen , Qiangqiang Yuan , Liangpei Zhang

A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab-initio three-dimensional model using two-dimensional projection images with unknown orientations. Common-lines based methods…

Machine Learning · Computer Science 2013-04-11 Lanhui Wang , Amit Singer , Zaiwen Wen

Deep learning methods for unsupervised registration often rely on objectives that assume a uniform noise level across the spatial domain (e.g. mean-squared error loss), but noise distributions are often heteroscedastic and input-dependent…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiaoran Zhang , Daniel H. Pak , Shawn S. Ahn , Xiaoxiao Li , Chenyu You , Lawrence H. Staib , Albert J. Sinusas , Alex Wong , James S. Duncan

An extendable, efficient and explainable Machine Learning approach is proposed to represent cyclic plasticity and replace conventional material models based on the Radial Return Mapping algorithm. High accuracy and stability by means of a…

Materials Science · Physics 2025-08-11 Stefan Hildebrand , Sandra Klinge

Deformable image registration is a fundamental task in medical image analysis, aiming to establish a dense and non-linear correspondence between a pair of images. Previous deep-learning studies usually employ supervised neural networks to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Jun Zhang

In this paper, we propose an enhanced 3D myocardial strain estimation procedure, which combines complementary displacement information from multiple orientations of a single imaging modality (untagged CMR SSFP images). To estimate…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Mohamed Abdelkhalek , Heba Aguib , Mohamed Moustafa , Khalil Elkhodary

Anomaly detection in medical imaging is a challenging task in contexts where abnormalities are not annotated. This problem can be addressed through unsupervised anomaly detection (UAD) methods, which identify features that do not match with…

Image and Video Processing · Electrical Eng. & Systems 2023-09-07 Geoffroy Oudoumanessah , Carole Lartizien , Michel Dojat , Florence Forbes

Tensile tests were conducted on dual-phase high-strength steel in a Split-Hopkinson Tension Bar at a strain-rate in the range of 150-600/s and in a servo-hydraulic testing machine at a strain-rate between 10-3 and 100/s. A novel specimen…

Materials Science · Physics 2007-12-27 V. Tarigopula , O. S. Hopperstad , M. Langseth , A. H. Clausen , François Hild

Supervised learning by extreme learning machines resp. neural networks with random weights is studied under a non-stationary spatial-temporal sampling design which especially addresses settings where an autonomous object moving in a…

Machine Learning · Statistics 2021-09-02 Ansgar Steland

Rigid motion tracking is paramount in many medical imaging applications where movements need to be detected, corrected, or accounted for. Modern strategies rely on convolutional neural networks (CNN) and pose this problem as rigid…

Image and Video Processing · Electrical Eng. & Systems 2024-06-13 Benjamin Billot , Neel Dey , Daniel Moyer , Malte Hoffmann , Esra Abaci Turk , Borjan Gagoski , Ellen Grant , Polina Golland

Learning-based lossless image compression employs pixel-based or subimage-based auto-regression for probability estimation, which achieves desirable performances. However, the existing works only consider context dependencies in one…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Tiantian Li , Qunbing Xia , Yue Li , Ruixiao Guo , Gaobo Yang

The recovery of images from the observations that are degraded by a linear operator and further corrupted by Poisson noise is an important task in modern imaging applications such as astronomical and biomedical ones. Gradient-based…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Dai-Qiang Chen

We propose a novel approach to model viscoelasticity materials using neural networks, which capture rate-dependent and nonlinear constitutive relations. However, inputs and outputs of the neural networks are not directly observable, and…

Numerical Analysis · Mathematics 2020-05-12 Kailai Xu , Alexandre M. Tartakovsky , Jeff Burghardt , Eric Darve

The interpretation of medical images is a challenging task, often complicated by the presence of artifacts, occlusions, limited contrast and more. Most notable is the case of chest radiography, where there is a high inter-rater variability…

Estimation of parameters that obey specific constraints is crucial in statistics and machine learning; for example, when parameters are required to satisfy boundedness, monotonicity, or linear inequalities. Traditional approaches impose…

Methodology · Statistics 2026-04-03 Lachlan Astfalck , Deborshee Sen , Sayan Patra , Edward Cripps , David Dunson

Recently, a surge in scientific publications suspected of image manipulation has led to numerous retractions, bringing the issue of image integrity into sharp focus. Although research on forensic detectors for image plagiarism and image…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Xun Lin , Wenzhong Tang , Haoran Wang , Yizhong Liu , Yakun Ju , Shuai Wang , Zitong Yu

We introduce a de novo elastography method to learn the elasticity of solids from measured strains. The deep neural network in our new method is supervised by the theory of elasticity and does not require labeled data for training. Results…

Soft Condensed Matter · Physics 2022-06-08 Chun-Teh Chen , Grace X. Gu