Magnetometric multiscale approximation and mollifier decorrelation

The key idea of the mollifier multiscale method is that the corresponding potential wavelets generating the bandpass decomposition of the potential can be simultaneously transformed via the application of a differential operator to wavelet decompositions in the contrast function level. Remarkably, this chapter shows that this can be implemented for both density and magnetization structures in respective parallelism. In fact, our multiscale mollifier methodology enables us to represent the contrast function, but especially its decorrelation into distribution bands, in such a way that sharp contrast transitions from one geologic formation to another can be detected better and better with increasing scales.