Part 2 of this report motivates and describes an approach to performing regularization in a controlled way that leads to quasi-continuous renderings that meet these reasonable expectations. Since there is no established meaning for the widths of peaks in these quasi-continuous renderings, in this work a meaning is chosen and imposed to add to the information conveyed by the plots. In particular, the peak widths are regularized to convey the resolution of the data. The approach tames excursions of the illdefined parameter combinations by regularization in a Fourier domain.