Here we propose an improved smoother which has an adaptive number of local smoothing steps depending on the structure of the image. This A-SFP smoother will be based on SFP2 since it is less costly than and has smoothing properties similar to those of SFP1. The LFA from section 5.4 shows that if we use the same number of smoothing steps for ΩE and ΩS, there is the risk of the residual not being smooth enough in ΩE. This was confirmed in our experiments, where we noticed that the intergrid transfer operators were not working properly very close to the edges due to this fact.