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In this work, we propose Fast Equivariant Imaging (FEI), a novel unsupervised learning framework to rapidly and efficiently train deep imaging networks without ground-truth data. From the perspective of reformulating the Equivariant Imaging…

Image and Video Processing · Electrical Eng. & Systems 2026-03-05 Guixian Xu , Jinglai Li , Junqi Tang

Quantitative speed-of-sound (SoS) and attenuation of tissues are closely related to pathology; however, conventional B-mode images are limited to qualitative visualization. Existing ultrasound full-waveform inversion (FWI) methods for…

Signal Processing · Electrical Eng. & Systems 2026-04-20 Rui Guo , Ditza Auerbach , Yonina C. Eldar

Conventional Full Waveform Inversion requires calculating the objective function to be minimized and construction a gradient using the whole property model, when is often the case where geoscientist are only interested in a local region. In…

Geophysics · Physics 2020-05-22 Fernanda Farias , Reynam Pestana

Full waveform inversion is a high-resolution subsurface imaging technique, in which full seismic waveforms are used to infer subsurface physical properties. We present a novel, target-enclosing, full-waveform inversion framework based on an…

Geophysics · Physics 2022-08-17 Polina Zheglova , Matteo Ravasi , Ivan Vasconcelos , Alison Malcolm

In seismic exploration, sources and measurements of seismic waves on the surface are used to determine model parameters representing geophysical properties of the earth. Full-waveform inversion (FWI) is a nonlinear seismic inverse technique…

Numerical Analysis · Mathematics 2019-02-05 Yunan Yang

Edema is a potential indicator of underlying pathological changes. However, its low-contrast signature is often masked in conventional B-mode imaging by strong scatterers, making reliable detection challenging. Ultrasound (US) provides a…

Signal Processing · Electrical Eng. & Systems 2026-03-09 Ruizhi Zhang , Yhonatan Kvich , Rui Guo , Oded Cohen , Yonina C. Eldar

A novel approach to full waveform inversion (FWI), based on a data driven reduced order model (ROM) of the wave equation operator is introduced. The unknown medium is probed with pulses and the time domain pressure waveform data is recorded…

Numerical Analysis · Mathematics 2022-08-03 Alexander V. Mamonov , Liliana Borcea , Josselin Garnier , Jörn Zimmerling

The Hessian matrix plays an important role in correct interpretation of the multiple scattered wave fields inside the FWI frame work. Due to the high computational costs, the computation of the Hessian matrix is not feasible. Consequently,…

Geophysics · Physics 2022-04-21 S. M. Aydin Shoja , Giovanni A. Meles , Kees Wapenaar

In salt provinces, full-waveform inversion (FWI) is most likely to fail when starting with a poor initial model that lacks the salt information. Conventionally, salt bodies are included in the FWI starting model by interpreting the salt…

Geophysics · Physics 2023-04-07 Abdullah Alali , Tariq Alkhalifah

Adaptive Waveform Inversion (AWI) applied to transient transmitted wave data can yield estimates of index of refraction (or wave velocity) similar to those obtained by travel time inversion. The AWI objective function measures normalized…

Optimization and Control · Mathematics 2024-12-12 William W. Symes

Full-waveform inversion (FWI) estimates physical parameters in the wave equation from limited measurements and has been widely applied in geophysical exploration, medical imaging, and non-destructive testing. Conventional FWI methods are…

Machine Learning · Computer Science 2026-03-25 Ruihua Chen , Yisi Luo , Bangyu Wu , Deyu Meng

Ultrasound (US) imaging is an indispensable tool for diagnostic imaging, particularly given its cost, safety, and portability profiles compared to other modalities. However, US is challenged in subjects with morphological heterogeneity…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Scott Schoen , Brian Lause , Marko Jakovljevic , Rimon Tadross , Mike Washburn , Anthony E. Samir

This paper proposes a new method that combines check-pointing methods with error-controlled lossy compression for large-scale high-performance Full-Waveform Inversion (FWI), an inverse problem commonly used in geophysical exploration. This…

Ultrasound computed tomography is emerging as a promising safe and accessible modality for soft-tissue medical imaging, with full waveform inversion playing a key role in unlocking its full potential for high-resolution, quantitative…

Medical Physics · Physics 2026-05-26 Yifei Sun , Yubing Li , Chang Su , Lekang Jiang , Xiangwei Lu , Ligang Cui , He Sun , Weijun Lin

This work aims to minimize a continuously differentiable convex function with Lipschitz continuous gradient under linear equality constraints. The proposed inertial algorithm results from the discretization of the second-order primal-dual…

Optimization and Control · Mathematics 2022-08-03 Radu Ioan Bot , Ernö Robert Csetnek , Dang-Khoa Nguyen

Time-lapse full-waveform inversion (FWI) has become a powerful tool for characterizing and monitoring subsurface changes in various geophysical applications. However, non-repeatability (NR) issues caused, for instance, by GPS inaccuracies,…

Geophysics · Physics 2024-07-11 Sergio Luiz E. F. da Silva , Ammir Karsou , Roger M. Moreira , Marco Cetale

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

Full waveform inversion (FWI) is widely used in geophysics to reconstruct high-resolution velocity maps from seismic data. The recent success of data-driven FWI methods results in a rapidly increasing demand for open datasets to serve the…

Machine Learning · Computer Science 2023-06-27 Chengyuan Deng , Shihang Feng , Hanchen Wang , Xitong Zhang , Peng Jin , Yinan Feng , Qili Zeng , Yinpeng Chen , Youzuo Lin

Light Detection and Ranging (LiDAR) are fast emerging sensors in the field of Earth Observation. It is a remote sensing technology that utilizes laser beams to measure distances and create detailed three-dimensional representations of…

Signal Processing · Electrical Eng. & Systems 2025-04-15 Saad Ahmed Jamal

Augmented Lagrangian method (also called as method of multipliers) is an important and powerful optimization method for lots of smooth or nonsmooth variational problems in modern signal processing, imaging, optimal control and so on.…

Optimization and Control · Mathematics 2021-08-31 Hongpeng Sun