Detectives are examining a series of sightings of him close to the River Thames in Barnes.
Women have seen the man, either completely naked or naked from the waist down, exposing himself on towpaths and riverside roads.
But despite a large number of reports and in one case a woman recognised the man again when fully clothed, officers have not been able to identify him.
http://news.bbc.co.uk/2/hi/uk_news/england/london/8386167.stm