Splines on the three-dimensional ball and their application to seismic body wave tomography

@inproceedings{Amirbekyan2008SplinesOT,
  title={Splines on the three-dimensional ball and their application to seismic body wave tomography},
  author={Abel Amirbekyan and Volker Michel},
  year={2008}
}
In this paper, we construct spline functions based on a reproducing kernel Hilbert space to interpolate/approximate the velocity field of earthquake waves inside the Earth based on travel-time data for an inhomogeneous grid of sources (hypocenters) and receivers (seismic stations). Theoretical aspects including error estimates and convergence results as well as numerical results are demonstrated. 

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