314 citations · 762 across the 5 of their papers we have counts for
5 papers
A spatiospectral localization approach to estimating potential fields on the surface of a sphere from noisy, incomplete data taken at satellite altitudes
Frederik J. Simons, F. A. Dahlen
Satellites mapping the spatial variations of the gravitational or magnetic fields of the Earth or other planets ideally fly on polar orbits, uniformly covering the entire globe. Th…
Spectral estimation on a sphere in geophysics and cosmology
F. A. Dahlen, Frederik J Simons
We address the problem of estimating the spherical-harmonic power spectrum of a statistically isotropic scalar signal from noise-contaminated data on a region of the unit sphere. T…
Tomographic inversion using -norm regularization of wavelet coefficients
Ignace Loris, Guust Nolet, Ingrid Daubechies +1
We propose the use of regularization in a wavelet basis for the solution of linearized seismic tomography problems , allowing for the possibility of sharp discontinu…
Spherical Slepian functions and the polar gap in geodesy
Frederik J Simons, F. A. Dahlen
The estimation of potential fields such as the gravitational or magnetic potential at the surface of a spherical planet from noisy observations taken at an altitude over an incompl…
Spatiospectral concentration on a sphere
Frederik J. Simons, F. A. Dahlen, Mark A. Wieczorek
We pose and solve the analogue of Slepian's time-frequency concentration problem on the surface of the unit sphere to determine an orthogonal family of strictly bandlimited functio…