LAUSR

Abstract The differentiation operators (with respect to the Cartesian variables x, y and z) are part of several transformations of the potential fields. The resolution of these operators can be improved if the input filed is continued downward at first. We show the performance of the integrated operator, which combines differentiation and downward continuation in the single operation. The presented combined operator is a regularized by means of the Tikhonov regularization, which provides a strong answer to the instability and ambiguity of gravity and magnetic inverse problems. The solution obtained by combining differentiation and downward continuation into a single operator is more efficient as we will demonstrate by showing tests on synthetic and real data sets.