The Constitutional Commission was a committee of experts that was tasked with preparing a report to advise and guide the Constitutional Council in its work. It submitted a report to the Council at the beginning of its work with an overview of constitutional discussion, scholarship and amendments since the founding of the republic in 1944.
Report of the Commission 1 (Icelandic):
http://www.stjornlagarad.is/other_files/stjornlagarad/skyrsla-stjornlaganefndar/skyrsla_stjornlaganefndar_fyrra_bindi.pdf
Report of the Commission 2 (Icelandic):
http://www.stjornlagarad.is/other_files/stjornlagarad/skyrsla-stjornlaganefndar/skyrsla_stjornlaganefndar_seinna_bindi.pdf