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This paper considers the reconstruction of a defect in a two-dimensional waveguide during non-destructive ultrasonic inspection using a derivative-based optimization approach. The propagation of the mechanical waves is simulated by the…

Numerical Analysis · Mathematics 2022-09-07 Jannis Bulling , Benjamin Jurgelucks , Jens Prager , Andrea Walther

Ultrasonic guided wave technology has played a significant role in the field of non-destructive testing as it employs acoustic waves that have advantages of high propagation efficiency and low energy consumption during the inspect process.…

Computational Engineering, Finance, and Science · Computer Science 2020-09-15 Qi Li , Yihui Da , Yinghong Zhang , Bin Wang , Dianzi Liu , Zhenghua Qian

Ultrasound reflection tomography is widely used to image large complex specimens that are only accessible from a single side, such as well systems and nuclear power plant containment walls. Typical methods for inverting the measurement rely…

Image and Video Processing · Electrical Eng. & Systems 2018-10-01 Hani Almansouri , S. V. Venkatakrishnan , Gregery T. Buzzard , Charles A. Bouman , Hector Santos-Villalobos

The accurate characterisation of the 3D deformations of slender fibres and thin sheets in flow, is a key experimental challenge in the study of particle-laden flows. We propose a high-resolution, single-camera method to visualise…

Fluid Dynamics · Physics 2026-03-18 Tymoteusz Miara , Draga Pihler-Puzović , Matthias Heil , Anne Juel

The aim of this work is to present theoretical tools to study wave propagation in elastic waveguides and perform multi-frequency scattering inversion to reconstruct small shape defects in a 2D and 3D elastic plate. Given surface…

Analysis of PDEs · Mathematics 2022-10-06 Eric Bonnetier , Angele Niclas , Laurent Seppecher

Currently, most deep learning methods cannot solve the problem of scarcity of industrial product defect samples and significant differences in characteristics. This paper proposes an unsupervised defect detection algorithm based on a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Chao Hu , Jian Yao , Weijie Wu , Weibin Qiu , Liqiang Zhu

Edges are one of the most basic parametric primitives to describe structural information in 3D. In this paper, we study parametric 3D edge reconstruction from calibrated multi-view images. Previous methods usually reconstruct a 3D edge…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Haiyang Ying , Matthias Zwicker

Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displacement field is governed by Cauchy's equation of motion, i.e.,…

Numerical Analysis · Mathematics 2026-05-20 Benedikt Klein , Mario Ohlberger , Thomas Schuster

Data-driven quantitative defect reconstructions using ultrasonic guided waves has recently demonstrated great potential in the area of non-destructive testing. In this paper, we develop an efficient deep learning-based defect reconstruction…

Computational Engineering, Finance, and Science · Computer Science 2020-10-30 Qi Li , Dianzi Liu , Zhenghua Qian

This paper introduces a new local plastic correction algorithm that is aimed at accelerating elasto-plastic finite element (FE) simulations for structural problems exhibiting localised plasticity (around e.g. notches, geometrical defects).…

Computational Engineering, Finance, and Science · Computer Science 2024-09-26 Abhishek Palchoudhary , Simone Peter , Vincent Maurel , Cristian Ovalle , Pierre Kerfriden

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

Analysis of PDEs · Mathematics 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

In this paper, we introduce a denoising diffusion algorithm to discover microstructures with nonlinear fine-tuned properties. Denoising diffusion probabilistic models are generative models that use diffusion-based dynamics to gradually…

Machine Learning · Computer Science 2023-06-14 Nikolaos N. Vlassis , WaiChing Sun

We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

Analysis of PDEs · Mathematics 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

We present a novel approach that integrates unfitted finite element methods and neural networks to approximate partial differential equations on complex geometries. Easy-to-generate background meshes (e.g., a simple Cartesian mesh) that cut…

Numerical Analysis · Mathematics 2025-12-04 Wei Li , Alberto F. Martín , Santiago Badia

We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measurements made at the surface of Earth. We derive both a…

Analysis of PDEs · Mathematics 2024-10-08 Andrea Aspri , Elena Beretta , Arum Lee , Anna Mazzucato

Reverse Engineering a CAD shape from other representations is an important geometric processing step for many downstream applications. In this work, we introduce a novel neural network architecture to solve this challenging task and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-05 Joseph G. Lambourne , Karl D. D. Willis , Pradeep Kumar Jayaraman , Longfei Zhang , Aditya Sanghi , Kamal Rahimi Malekshan

We have developed a convolutional neural network (CNN) to reconstruct the shape of irregular rough particles from their interferometric images. The CNN is based on a UNET architecture with residual block modules. The database has been…

Computer Vision and Pattern Recognition · Computer Science 2024-08-08 Alexis Abad , Alexandre Poux , Alexis Boulet , Marc Brunel

Ultrasound-guided percutaneous needle insertion is a standard procedure employed in both biopsy and ablation in clinical practices. However, due to the complex interaction between tissue and instrument, the needle may deviate from the…

Realistic microscale domains are an essential step towards making modern multiscale simulations more applicable to computational materials engineering. For this purpose, 3D computed tomography scans can be very expensive or technically…

An elastic ideal 2D propagation medium, i.e., a membrane, can be simulated by models discretizing the wave equation on the time-space grid (finite difference methods), or locally discretizing the solution of the wave equation (waveguide…

Sound · Computer Science 2024-09-21 Federico Fontana , Davide Rocchesso
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