Sali, Wolobah B.2009-09-042009-09-042009-09-04http://hdl.handle.net/10539/7190The problem of interpolating an, in general, irregularly sampled gravity gradient eld in the presence of noise is considered. The interpolation problem is ill posed. To restore uniqueness we require that the interpolant is consistent with Laplace's equation. The interpolant is tested in a number of numerical experiments and is found to yield results which are far superior to simple polynomial interpolation.enThesis