Application of the Wasserstein metric to seismic signals
By Bjorn Engquist, Brittany D. Froese. 2013
199 citations recorded by the source corpus.
Seismic signals are typically compared using travel time difference or $L_2$ difference. We propose the Wasserstein metric as an alternative measure of fidelity or misfit in seismology. It exhibits properties from both of the traditional measures mentioned above. The numerical computation is based on the recent development of fast numerical methods for the Monge-Ampere equation and optimal transport. Applications to waveform inversion and registration are discussed and simple numerical examples are presented.
Subfields: Geophysics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/0a88da9fc4d21d9ecb4de650d0c7edd3cd2a3540
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geophysics
- Romain Brossier
- Ludovic Métivier
- Yunan Yang
- Stéphane Operto
- Jean Virieux
- Bjorn Engquist
- Brittany D. Froese
- Andreas Fichtner
In Mechanics of Materials
Citations in the corpus
- An optimal transport approach for seismic tomography: application to 3D full waveform inversion (2016, unknown): “Contrast and color mappings are well known applications in image processing [Ferradans et al., 2014], but a more complete list would include pattern recognition and shape classification, texture synthesis and texture mixing, and image smoothing among others (see [Lellmann et al., 2014] and…”
- Analysis of optimal transport and related misfit functions in full-waveform inversion (2017, background): “A recently introduced class of misfit functions is optimal transport related (Engquist and Froese, 2014; Engquist et al., 2016; Métivier et al., 2016a, 2016b; Yang et al., 2016).”
- Full Waveform Inversion and the Truncated Newton Method (2013, background): “More recently, measuring the misfit between observed and synthetic data through an optimal transport distance has also been promoted as increasing the convexity of the misfit function [17, 45, 46, 44].”
- Optimal Transport for Seismic Full Waveform Inversion (2016, methodology): “As noted in [7], when the model involves both depth and velocity, the resulting distance can contain narrow valleys, and computing the minimum can require small stepsizes.”