They have appealed for anyone who recognises them to come forward.
The move follows a report of concern for a person on the bridge around 12:45am on Tuesday, March 9.
A search, which included air support, was unable to trace the person, but it did recover a beige and green jacket from the bridge.
Enquiries are ongoing to establish whether this can help identify the person in question.
Inspector Gavin Cameron, from Cowdenbeath Police Station, said: “Following a week of enquiries, we are sadly no closer to identifying the individual or ensuring their wellbeing.
“We are releasing an image of the jacket which was recovered, in the hope that someone may recognise it and come forward.”
Call 101, quoting incident 0617 of March 9.