This dissertation addresses the problem of interpolating irregularly spaced seismic exploration data to regular spatial locations. Geophysical fields are often measured on spatially irregular locations and need to be interpolated to a regular grid in order to be displayed, processed or interpreted. In atmospheric sciences, the problem of data estimation on a regular grid from observations at irregular locations is known as spatial analysis Daley (1991). The term gridding is accepted in the potential field community Li and Gotze (1999). In this dissertation, I adopt the term data regularization to address the same problem in the seismic exploration context.