SIM
SIMCheck to test the quality of your SIM images: http://www.micron.ox.ac.uk/software/SIMCheck.php
FairSIM is a free ImageJ plugin for the reconstruction of SIM images: https://fairsim.github.io/
PALM/STORM
QuickPALM is a free ImageJ plugin for the reconstruction of localization microscopy images: http://imagej.net/QuickPALM
ThunderSTORM is a free ImageJ plugin for the reconstruction of localization microscopy images: http://zitmen.github.io/thunderstorm/
Under this link you can find a collection of software for the reconstruction of localization microscopy data sets: http://bigwww.epfl.ch/smlm/software/