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Robust Frequency Domain Full-Waveform Inversion via HV-Geometry

delete2025-01-01
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PRE
AI
Z
Zhijun Zeng
M
Matej Neumann
Y
Yunan Yang
DOI:10.1109/TCI.2025.3608969delete
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Abstract

Abstract

En 中文
Conventional frequency-domain full-waveform inversion (FWI) is typically implemented with an $L^{2}$ misfit function, which suffers from challenges such as cycle skipping and sensitivity to noise. While the Wasserstein metric has proven effective in addressing these issues in time-domain FWI, its applicability in frequency-domain FWI is limited due to the complex-valued nature of the data and reduced transport-like dependency on wave speed. To mitigate these challenges, we introduce the HV metric ($d_{\text{HV}}$), inspired by optimal transport theory, which compares signals based on horizontal and vertical changes without requiring the normalization of data. We implement $d_{\text{HV}}$ as the misfit function in frequency-domain FWI and evaluate its performance on synthetic and real-world datasets from seismic imaging and ultrasound computed tomography (USCT). Numerical experiments demonstrate that $d_{\text{HV}}$ outperforms the $L^{2}$ and Wasserstein metrics in scenarios with limited prior model information and high noise while robustly improving inversion results on clinical USCT data.
Keywords:
HV geometry
full-waveform inversion
optimal transport
seismic inversion
ultrasound computed tomography

Journal

I
IEEE Transactions on Computational Imaging
IF:
4.8
Papers:
128
Citations:
0

Organization

T
tsinghua university
Scholars:
11.8W
Papers: 10.0W
Citations: 137
C
Cornell University
Scholars:
6.3W
Papers: 5.4W
Citations: 10.9W