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Ultrasonic imaging methods often assume linear direct models, while in reality, many nonlinear phenomena are present, e.g. multiple reflections. A family of imaging methods called Full Waveform Inversion (FWI), which has been developed in…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Daniel Rossato , Thiago Alberto Rigo Passarin , Gustavo Pinto Pires , Daniel Rodrigues Pipa

In recent years, uncertainty-aware full waveform inversion (FWI) has received increasing attention, with a growing emphasis on producing informative uncertainty estimates alongside inversion results. Bayesian inference methods--particularly…

Geophysics · Physics 2025-05-14 Yunduo Li , Yijie Zhang , Xueyu Zhu , Jinghuai Gao

This study proposes a high-performance dual-parameter full waveform inversion framework (FWI) for ground-penetrating radar (GPR), accelerated through the hybrid compilation of CUDA kernel functions and PyTorch. The method leverages the…

Geophysics · Physics 2025-06-26 Lei Liu , Chao Song , Liangsheng He , Silin Wang , Xuan Feng , Cai Liu

Wavefield reconstruction inversion (WRI) formulates a PDE-constrained optimization problem to reduce cycle skipping in full-waveform inversion (FWI). WRI often requires expensive matrix inversions to reconstruct frequency-domain wavefields.…

Geophysics · Physics 2022-05-04 Chao Song , Tariq Alkhalifah

Due to its non-invasive and non-radiating nature, along with its low cost, ultrasound (US) imaging is widely used in medical applications. Typical B-mode US images have limited resolution and contrast and weak physical interpretation.…

Signal Processing · Electrical Eng. & Systems 2022-05-18 Avner Shultzman , Yonina C. Eldar

Solving inverse problems involving measurement noise and modeling errors requires regularization in order to avoid data overfit. Geophysical inverse problems, in which the Earth's highly heterogeneous structure is unknown, present a…

Geophysics · Physics 2022-03-31 Ali Siahkoohi , Rafael Orozco , Gabrio Rizzuti , Felix J. Herrmann

Conventional full waveform inversion (FWI) using least square distance (LSD) between the observed and predicted seismograms suffers from local minima. Recently, earth mover's distance (EMD) has been introduced to FWI to compute the misfit…

Geophysics · Physics 2018-08-23 Peng Yong , Wenyuan Liao , Jianping Huang , Zhenchun Li , Yaoting Lin

Wavefield reconstruction inversion (WRI) has been considered a potential solution to the issue of local minima inherent in conventional full waveform inversion (FWI) methods. However, most current WRI research has been confined to 2D…

Geophysics · Physics 2024-10-25 Zhilong Fang , Jingjing Zong

Full Waveform Inversion (FWI) plays a vital role in reconstructing geophysical structures. The Uncertainty Quantification regarding the inversion results is equally important but has been missing out in most of the current geophysical…

Computational Physics · Physics 2021-10-13 Qiancheng Liu , Stephen Beller , Wenjie Lei , Daniel Peter , Jeroen Tromp

Low-photon phase imaging is essential in applications where the signal is limited by short exposure times, faint targets, or the need to protect delicate samples. We address this challenge with Poisson Wavefront Imaging (PWI), an…

The emergence of long-offset sparse stationary-recording surveys carried out with ocean bottom nodes (OBN) makes frequency-domain full waveform inversion (FWI) attractive to manage compact volume of data and perform attenuation imaging. One…

We introduce a probabilistic technique for full-waveform inversion, employing variational inference and conditional normalizing flows to quantify uncertainty in migration-velocity models and its impact on imaging. Our approach integrates…

Geophysics · Physics 2024-04-16 Ziyi Yin , Rafael Orozco , Mathias Louboutin , Felix J. Herrmann

This paper presents a novel numerical method for the Newton seismic full-waveform inversion (FWI). The method is based on the full-space approach, where the state, adjoint state, and control variables are optimized simultaneously. Each…

Numerical Analysis · Mathematics 2022-04-14 M. Malovichko , A. Orazbayev , N. Khokhlov

Full waveform inversion (FWI) is an important and popular technique in subsurface earth property estimation. However, using the least-squares norm in the misfit function often leads to the local minimum solution of the optimization problem,…

Numerical Analysis · Mathematics 2021-04-06 Da Li , Michael P. Lamoureux , Wenyuan Liao

Iterative inversion of seismic, ultrasonic, and other wave data by local gradient-based optimization of mean-square data prediction error (Full Waveform Inversion or FWI) can fail to converge to useful model estimates if started from an…

Optimization and Control · Mathematics 2024-12-10 William W. Symes , Huiyi Chen , Susan E. Minkoff

This paper introduces a weighted generalized inverse framework for Fourier extensions, designed to suppress spurious oscillations in the extended region while maintaining high approximation accuracy on the original interval. By formulating…

Numerical Analysis · Mathematics 2026-01-13 Zhenyu Zhao , Yanfei Wang , Anatoly G. Yagola , Xusheng Li

Ultrasound computed tomography (USCT) is an emerging imaging modality that holds great promise for breast imaging. Full-waveform inversion (FWI)-based image reconstruction methods incorporate accurate wave physics to produce high spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-09-01 Luke Lozenski , Hanchen Wang , Fu Li , Mark A. Anastasio , Brendt Wohlberg , Youzuo Lin , Umberto Villa

Low-frequency data are essential to constrain the low-wavenumber model components in seismic full-waveform inversion (FWI). However, due to acquisition limitations and ambient noise it is often unavailable. Deep learning (DL) can learn to…

Global seismic tomography, taking advantage of seismic waves from natural earthquakes, provides essential insights into the earth's internal dynamics. Advanced Full-waveform Inversion (FWI) techniques, whose aim is to meticulously interpret…

Seismology has been an active science for a long time. It changed character about 50 years ago when the earth's vibrations could be measured on the surface more accurately and more frequently in space and time. The full wave field could be…

Numerical Analysis · Mathematics 2018-08-15 Björn Engquist , Yunan Yang
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