Simultaneous Interpolation of 4 Spatial Dimensions

The Minimum Weighted Norm Interpolation (MWNI) algorithm (Liu and Sacchi, 2001) has been proposed as a method to reconstruct band-limited seismic data along 1, 2 and 3 spatial dimensions. In addition, tests showing the ability of the method to reconstruct data prior to amplitude versus angle wave equation migration were provided in Liu et. al (2003). The method incorporates bandwidth limitation constraints, and a spectral smoothness constraint that becomes a key feature of the algorithm at the time of interpolating large segments of missing information.