Reply to the discussionDiscussion and Reply

Abstract We appreciate the opportunity to reply to the concerns expressed in the discussion by M. Fedi and T. Quarta of our article. First, we do acknowledge that in Fedi and Quarta's 1998 paper they showed a 2D wavelet-denoised image for aeromagnetic data. Although we are not in full agreement with several aspects of their articles, nevertheless, we apologize to the authors for the oversight of not including their papers as references in our work. However, we point out that the basis for our method had been published in 1998 (Leblanc et al., 1998) as an expanded abstract that had been submitted to the SEG before Fedi and Quarta's (1998) work had been released. A Ph.D. thesis by Leblanc (1999), which covered various aspects of wavelet denoising of aeromagnetic data and higher-order derivatives, was in the public domain well in advance of publication of the article by Fedi et al. (2000). It is clear that when comparison of the work by Fedi and Quarta (1997, 1998, 2000) to that of our work, each group applied different methodologies to the challenge of denoising geophysical data.