Nonlinear regularization techniques for seismic tomography

Ignace Loris, Huub Douma, Guust Nolet, Ingrid Daubechies, Carl Regone

Type: Article

Publication Date: 2009-10-18

Citations: 58

DOI: https://doi.org/10.1016/j.jcp.2009.10.020

View Publication

Download PDF

Locations

Journal of Computational Physics - View
arXiv (Cornell University) - View - PDF
Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Methods and algorithms for sparsity-based regularization of inverse problems and their application to global seismic tomography	2012	Ignace Loris Caroline Verhoeven Frederik J. Simons Ingrid Daubechies Guust Nolet Сергей Воронин Jean Charléty
+	Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction	1997	Barbara Kaltenbacher Heinz W. Engl
+	Regularization algorithms for seismic inverse problems	2002	Hongbu Zhou Yu Zhang Samuel H. Gray Guanquan Zhang
+	Regularization Methods for Ill-Posed Poisson Imaging	2014	N'Djekornom Dara Laobeul
+	Comparison of novel regularization techniques in seismic tomography	2008	Ignace Loris Huub Douma Guust Nolet Ingrid Daubechies Carl Regone
+	Regularization Methods for Ill-Posed Problems	2015	Jin Cheng Bernd Hofmann
+	Regularization Methods for Ill-Posed Problems	2010	Jin Cheng Bernd Hofmann
+	Regularization Methods for Ill-Posed Problems	2014	Jin Cheng Bernd Hofmann
+	Regularization Methods for Ill-posed Problems	2010	Arthur Neuman
+	Regularization Methods for Discrete Ill-posed Problems in Imaging	2008	Germana Landi Elena Loli Piccolomini Fabiana Zama
+	Chapter 12: Regularization Techniques for Tomography Problems	2021	Yiqiu Dong
+	Regularization methods for linear inverse problems	1986	M. Bertero
+	Regularization schemes for statistical inverse problems	2019	Abhishake Rastogi
+	Bayesian Regularization of Some Seismic Operators	1996	Mauricio D. Sacchi Tadeusz J. Ulrych
+ PDF Chat	Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling	2022	Tingting Wu Yuesheng Xu
+	Regularization techniques for nonlinear problems	1999	Doris Hinestroza Diego A. Murio Shengan Zhan
+	Sparsity-based Regularization of Geophysical Ill-posed Problems	2010	Ali Gholami
+	Scale-Space Methods and Regularization for Denoising and Inverse Problems	2003	Otmar Scherzer
+	Regularization for Ill-Posed Problems	2003
+	Regularization for Ill-Posed Problems	2003

Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Travel Time Tomography With Adaptive Dictionaries	2018	Michael J. Bianco Peter Gerstoft
+ PDF Chat	Inversion of electromagnetic induction data using a novel wavelet-based and scale-dependent regularization term	2021	Wouter Deleersnyder Benjamin Maveau Thomas Hermans David Dudal
+ PDF Chat	Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion	2011	Frederik J. Simons Ignace Loris Eugene Brevdo Ingrid Daubechies
+	Numerical Algorithms for Non-smooth Optimization Applicable to Seismic Recovery	2013	Ignace Loris
+	Numerical Algorithms for Non-smooth Optimization Applicable to Seismic Recovery	2015	Ignace Loris
+ PDF Chat	Adaptive spectral decompositions for inverse medium problems	2020	Daniel Baffet Marcus J. Grote Jet Hoe Tang
+	Numerical Algorithms for Non-smooth Optimization Applicable to Seismic Recovery	2014	Ignace Loris
+	Adaptive spectral decompositions for inverse medium problems	2020	Daniel Baffet Marcus J. Grote Jet Hoe Tang
+ PDF Chat	Seismic Traveltime Tomography with Label-free Learning	2024	Feng Wang Bo Yang Renfang Wang Hong Qiu
+ PDF Chat	Adaptive Spectral Inversion for inverse medium problems	2023	Yannik G. Gleichmann Marcus J. Grote

Works Cited by This (21)

Action	Title	Year	Authors
+	Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing	2008	Wotao Yin Stanley Osher Donald Goldfarb Jérôme Darbon
+	Uniqueness in the inversion of inaccurate gross Earth data	1970	George Backus Freeman Gilbert
+ PDF Chat	Tomographic inversion using ℓ<sub>1</sub>-norm regularization of wavelet coefficients	2007	Ignace Loris Guust Nolet Ingrid Daubechies F. A. Dahlen
+	Solution of incorrectly formulated problems and the regularization method	1963	А. Н. Тихонов
+	Fixed-Point Continuation for $\ell_1$-Minimization: Methodology and Convergence	2008	Elaine Hale Wotao Yin Yin Zhang
+	Wavelets on the Interval and Fast Wavelet Transforms	1993	Albert Cohen Ingrid Daubechies Pierre Vial
+	A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration	2007	José M. Bioucas‐Dias Mário A. T. Figueiredo
+ PDF Chat	On the performance of algorithms for the minimization of ℓ <sub>1</sub> -penalized functionals	2009	Ignace Loris
+	For most large underdetermined systems of linear equations the minimal 𝓁<sub>1</sub>‐norm solution is also the sparsest solution	2006	David L. Donoho
+ PDF Chat	Uniqueness in the Inversion of Inaccurate Gross Earth Data	1970	George Backus Freeman Gilbert