2012 IRIS Workshop

Solving Global Tomographic Models with 3D Spherical Wavelets

Yanhua Yuan:, Frederik Simons:, et alia:

Sparsity of the P-wave seismic model of Montelli et al.(2006) under incremental hard thresholding of their wavelets & scaling coefficients using 3D spherical wavelets (in the right panel), at the depth of 406 km, for cubed voxels with 6*2^(3N) elements(N=7), and to a 2^J dyadic subdivision (J=3). For comparison, the left panel displays sparsity performances (l2 norm of the reconstruction error) of 2D spherical wavelets under 0%, 50%, 85%, 95%,98% hard thresholding.

Full-resolution graphics file in original format: 0045.png

Acknoweldgements: We thank Princeton University First Year Graduate Fellowship for financial supporting.

For further reading: Simons, F. et al., 2011. Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity, Geophys. J. Int., 187(2), 969–988. doi: 10.1111/j.1365-246X.2011.05190.x

Keywords: sparsity, 3d_wavelets, spectral_analysis

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