A two-dimensional filter design for isotropic reconstruction of track type airborne geophysical surveys

The problem of reconstruction of a continuous densely sampled uniform grid scalar surface from track-type geophysical surveys is discussed. Examples of track-type signal sources include earth gamma ray radiation and magnetic fields measured at low altitude (typically 500 ft.) along tracks spaced from a fraction to several miles apart. The signal model investigated assumes the geophysical surface consists of a narrow band isotropic stochastic signal process. The sampling process is characterized by a high sampling rate along track and a low sampling rate across track. A reconstruction filter approach is described which attempts to provide isotropic reconstruction to minimize the error in representation of scene features.