Applications

I demonstrate the difference in results obtained by cross-correlations and non-stationary shaping filters on two simple examples: firstly, a 1-D well-tie problem, and secondly a 2-D statistical residual migration. Both methods extend naturally to higher dimensions as well; however, while the cost of the cross-correlation method is proportional to the number of filter coefficients, N_f, the cost of the shaping filter method is proportional to N_f², since the number of iterations depends on the number of filter coefficients.