Police released CCTV footage taken on the last day Ms Jones was seen alive
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The detective leading the inquiry into the murder of Moira Jones said he is confident it will be "only a matter of time" before her killer is caught.
Det Ch Insp Derek Robertson's comments came as police revealed they had spoken to 1,200 people and taken 250 DNA samples as part of the investigation.
The body of the 40-year-old was found in Queen's Park, Glasgow, on 29 May.
Officers said they had taken 600 statements but urged more people to come forward with information.
Det Ch Insp Robertson said: "We have had a fantastic response from members of the public who are all horrified by Moira's death and want to help us find her killer.
"We are constantly gathering information and new pieces of information are collated daily.
"This will continue until we have all the pieces of the jigsaw and I am confident it is only a matter of time before our enquiries will reveal who killed Moira."
Couple appeal
The sales consultant was last seen at 2230 BST on 28 May when she left a friend's house in the Cranstonhill area of the city to drive back to her home on Queen's Drive.
Police believe Ms Jones was first attacked sometime after 2250 BST on a grassy area close to her flat, but have still to clarify how and when she entered the park.
CCTV footage of Ms Jones in Glasgow earlier that day was released on Tuesday.
Officers hope the image, which shows her wearing a dark grey jacket and trousers, a grey shirt and with her hair tied back, will jog the memories of people who may have seen something to assist the inquiry.
An image of two people walking on Queen's Drive towards Langside Road at about 2330 BST was also released. Police believe they may have seen or heard something and have urged them to come forward.
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