Police revealed 53-year-old Jean Campbell was spotted on CCTV at 10.30pm on Friday near to Cranhill Park, where her body was found the next morning.
She was seen walking in the area around Bellrock Street, next to the park, wearing pyjama bottoms and a black 3/4 length puffer style jacket with a black hood, police said.
Speaking at the scene, Detective Chief Inspector Colin Carey, who is leading the investigation, described the attack as "particularly violent" and urged anyone with information to come forward.
He said: "The murder investigation has taken on a number of different strands including the seizure of CCTV informa-tion around the area and house-to-house inquiries.
"There are more than 300 houses around the peri-meter of the park and we have got a large team of experienced, committed officers who are dedicated to the inquiry and deter-mined to get to the bottom of what has happened to her and identify the person who is responsible for that.
"There are a number of forensic examinations that are ongoing and that is forming a major part of the investigation.
"Jean was a wife, she was a mother, her family are absolutely distraught about what has happened as a result of this incident.
"Anyone who saw Jean, please come forward with any information at all and anybody who has any con-cerns about any individual they know who may have seen or been involved in this incident, please come forward and let us know."
Mrs Campbell was seen by a family member at around 5pm on Friday.
She left her flat in Bellrock Street to walk her German Shepherd, which was later found in Cranhill Park, off Bellrock Street.
An incident caravan is at the scene, near a comm-unity centre, and dedicated phone lines have been opened for the case.
Around the park, uniformed officers are positioned in temporary shelters while others patrol the area.
Superintendent Martin Cloherty reassured local residents that police patrols in the area had been increased.
He said: "There is a real strong sense of community in the Cranhill area, and the relationship between the community and the police is very good, so we will be using our contacts throughout the area to get public reassurance messages out there.
THE level of violence within this area has reduced this year.
"What we have noticed in the last couple of months is a slight increase in low-level youth disorder and we have responded to that.
"We have listened to the concerns of the comm-unities and have increased the number of officers in the area.
"That number of officers will remain at that level for the foreseeable future, but over and above that, in relation to this incident, we have increased that yet again."
Meanwhile, a 31-year-old mother of two who asked not to be named said she was afraid to go out at night.
She said: "This was someone just out walking their dog and she was murdered for no reason. It is scary as well when you have young weans.
"There is a fear in the community, no one is wanting to go out after dark. I am not going out at night now.
"I didn't know Jean but everyone is saying she was well liked and you couldn't have a bad word to say about her. She was always in the shop, talking and laughing."
Local councillor Frank Docherty said the comm-unity was devastated.
He said: "Cranhill is a good, tight-knit comm-unity - it is like its own village in Glasgow.
"People take care of each other and there is a great community spirit.
"They are devastated, they just can't believe that this has happened. There is a degree of anger and disappointment that it's their area this has happened in.
"It is absolutely shocking because they are so close."
Anyone with information should contact police on 101.