%0 Journal Article
%T Interpolation of Discretely-Sampled Density Fields
%A Will Saunders
%A Bill E. Ballinger
%J Physics
%D 2000
%I arXiv
%X We present a new technique for the interpolation of discretely-sampled non-negat ive scalar fields across regions of missing data. Any set of basis functions can be used, though the method is fastest when they are close to orthogonal. We sho w how the technique may be efficiently applied when the discrete sampling rate v aries across the field. Regularisation is desirable to avoid over-fitting noisy data, and is necessary when the regions of missing data are larger than the requ ired resolution. We present and investigate methods for such regularisation.
%U http://arxiv.org/abs/astro-ph/0005606v1