In one of the last moments of his life, Peter Wrighton was seen on CCTV buying a few small items from a village shop - going about his ordinary life as anyone would do.. Detective superintendent Andy Smith.
Peter Wrighton, who has been named as the 83-year-old man who was stabbed to death while walking his two dogs in East Harling, Norfolk.
There have been no arrests and no weapon has been found.
Peter Wrighton, from Banham, Norfolk, was repeatedly stabbed in the neck and head on Saturday morning.
Chief Superintendant Mike Fawcett said: "Dedicated teams are investigating this incident".
The 4.5-mile journey takes about 15mins to drive, meaning investigators would appear to have narrowed down the time of the brutal attack to a ten or 15 minute period.
Police have revealed that they are looking for three men who are believed to have been seen near the woodland where Peter Wrighton was murdered.
One of three "vital" potential witnesses to the murder of an elderly dog walker in woodland has been traced, police have said.
He described Mr Wrighton as of slim build, 5ft 7in, with grey hair and glasses. It is believed he was wearing heavy rimmed glasses and light coloured pants.
The force said a man in his 50s seen changing into a t-shirt has been found. He is of an athletic build with short dark wavy hair and dark eyes. It is believed he was wearing a grey or blue t-shirt and grey floppy gym-style shorts above the knee and heavy duty flip flops.
The third man is described as a white male, aged between 30 to 50-years-old, of medium build and wearing dark-coloured clothing. He had been out walking his two dogs. Our main lines of enquiry include forensic investigations, extensive searches, witness interviews, house to house enquiries, CCTV capture and review, and close liaison with Peter's family.
He praised the public's response to the police appeal, saying the force had taken "hundreds of calls" - but said: "We need the public's help".
Peter had worked for British Telecom for 35 years and retired to the Norfolk area 30 years ago where he enjoyed living a simple life with his family and dogs.
"We are extremely thankful for all the people who have come forward to speak with the police and hope we will soon be able to understand why this has happened".