The effects of several nonlinear regularization techniques are discussed in the framework of 3D seismic tomography. Traditional, linear, ℓ2 penalties are compared to so-called sparsity promoting ℓ1 and ℓ0 penalties, and a total variation penalty. Which of these algorithms is judged optimal depends on the specific requirements of the scientific...
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October 13, 2009 (v1)Journal articleUploaded on: December 4, 2022
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October 14, 2011 (v1)Journal article
We propose a class of spherical wavelet bases for the analysis of geophysical models and for the tomographic inversion of global seismic data. Its multiresolution character allows for modelling with an effective spatial resolution that varies with position within the Earth. Our procedure is numerically efficient and can be implemented with...
Uploaded on: December 4, 2022