Fig. 4.

A schematic visualization of the data flow during the reconstruction process for the multiresolution decompositions $1,2,\dots ,D$ each one with resolution levels $1,2,\dots ,L$. The final estimate (6) obtained for the decomposition k is used as the level-one initial guess for the decomposition $k+1$. This sequential strategy for selecting the initial guess aims to minimize the effect of the optimization errors as suggested in Fig. 3. Note that with a good enough initial guess the global optimum is always found, meaning that the differences between the optimization results can be associated with the discretization errors which are modeled here as independently and identically distributed random variables