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This paper is concerned with inverse crack scattering problems for time-harmonic acoustic waves. We prove that a piecewise linear crack with the sound-soft boundary condition in two dimensions can be uniquely determined by the far-field…

Numerical Analysis · Mathematics 2024-05-09 Xiaoxu Xu , Guanqiu Ma , Guanghui Hu

A theoretical foundation is developed for active seismic reconstruction of fractures endowed with spatially-varying interfacial condition (e.g.~partially-closed fractures, hydraulic fractures). The proposed indicator functional carries a…

Geophysics · Physics 2017-04-05 Fatemeh Pourahmadian , Bojan B. Guzina , Houssem Haddar

A theoretical platform is developed for active elastic-wave sensing of (stationary and advancing) fractures along bi-material interfaces in layered composites. Damaged contact surfaces are characterized by a heterogeneous distribution of…

Numerical Analysis · Mathematics 2018-01-17 Fatemeh Pourahmadian , Irene de Teresa

This paper is concerned with the inverse problem of determining the shape of penetrable periodic scatterers from scattered field data. We propose a sampling method with a novel indicator function for solving this inverse problem. This…

Numerical Analysis · Mathematics 2023-05-24 Dinh-Liem Nguyen , Kale Stahl , Trung Truong

This paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined through spacetime integrals of acoustic data and carefully…

Mathematical Physics · Physics 2026-04-23 Xiaodong Liu , Xianchao Wang

Room geometry inference algorithms rely on the localization of acoustic reflectors to identify boundary surfaces of an enclosure. Rooms with highly absorptive walls or walls at large distances from the measurement setup pose challenges for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-12 H. Nazim Bicer , Cagdas Tuna , Andreas Walther , Emanuël A. P. Habets

Pre-trained foundation models have demonstrated remarkable success in audio, vision and language, yet their potential for general machine signal modeling with arbitrary sampling rates-covering acoustic, vibration, and other industrial…

Sound · Computer Science 2026-03-10 Yucong Zhang , Juan Liu , Ming Li

Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at…

Mathematical Physics · Physics 2013-02-13 Won-Kwang Park , Dominique Lesselier

Automatically detecting or segmenting cracks in images can help in reducing the cost of maintenance or operations. Detecting, measuring and quantifying cracks for distress analysis in challenging background scenarios is a difficult task as…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Ram Krishna Pandey , Akshit Achara

A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very…

Numerical Analysis · Mathematics 2017-09-13 Xiaodong Liu

We are interested in the localization of defects in non-absorbing inhomogeneous media with far-field measurements generated by plane waves. In localization problems, most so-called sampling methods are based on a characterization involving…

Numerical Analysis · Mathematics 2013-04-02 Yann Grisel , Jérémie Fourbil , Vincent Mouysset

We present a comparative study of two qualitative imaging methods in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and contains unknown obstacles of compact support, to be determined from data gathered by…

Analysis of PDEs · Mathematics 2020-01-08 Liliana Borcea , Shixu Meng

In this study, we consider a topological derivative-based imaging technique for the fast identification of short, linear perfectly conducting cracks completely embedded in a two-dimensional homogeneous domain with smooth boundary. Unlike…

Numerical Analysis · Mathematics 2026-03-24 Won-Kwang Park

We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compactly supported wall deformations. The goal of imaging is to…

Analysis of PDEs · Mathematics 2019-06-26 Liliana Borcea , Fioralba Cakoni , Shixu Meng

This paper compares machine learning approaches with different input data formats for the classification of acoustic emission (AE) signals. AE signals are a promising monitoring technique in many structural health monitoring applications.…

Signal Processing · Electrical Eng. & Systems 2025-01-03 Uditha Muthumala , Yuxuan Zhang , Luciano Sebastian Martinez-Rau , Sebastian Bader

Supervised and semi-supervised semantic segmentation algorithms require significant amount of annotated data to achieve a good performance. In many situations, the data is either not available or the annotation is expensive. The objective…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Ram Krishna Pandey , Akshit Achara

Embedding acoustic information into fixed length representations is of interest for a whole range of applications in speech and audio technology. Two novel unsupervised approaches to generate acoustic embeddings by modelling of acoustic…

Computation and Language · Computer Science 2021-02-08 Yanpei Shi , Thomas Hain

Embedded devices are omnipresent in modern networks including the ones operating inside critical environments. However, due to their constrained nature, novel mechanisms are required to provide external, and non-intrusive anomaly detection.…

Cryptography and Security · Computer Science 2023-02-07 Kurt A. Vedros , Georgios Michail Makrakis , Constantinos Kolias , Robert C. Ivans , Craig Rieger

We present an optical wavefront shaping approach that allows tracking and localization of signal hidden inside or behind a scattering medium. The method combines traditional feedback based wavefront shaping together with a switch function,…

Surface cracks are a very common indicator of potential structural faults. Their early detection and monitoring is an important factor in structural health monitoring. Left untreated, they can grow in size over time and require expensive…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Jacob König , Mark Jenkins , Mike Mannion , Peter Barrie , Gordon Morison
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