The PSNI officer, his wife and two young children were about to leave their Upper Newtownards Road home for lunch last Sunday when a booby trap bomb was discovered under the family car.
Police say they want to speak to three people who travelled in a taxi on two separate occasions in the early hours of last Saturday and Sunday mornings.
A PSNI spokesman said officers want to talk to two women who got into a taxi outside Thompson's Garage at Donegall Square East at around 2.45am on the morning of Saturday 29 December.
"After leaving a man off in Newtownards, they were eventually dropped off in the Clonduff estate at the top of the Castlereagh Road in east Belfast," the spokesman said.
Police also want to talk to a man who got a taxi from Belfast city centre at around 2.30am on the morning of Sunday 30 December and travelled to the Manse Road/Doagh Road area of Mossley.
"Neither of these private hire taxis was ordered from a depot. They were hailed by the revellers from the street," the spokesman added.
Detectives are appealing for these people to contact them at Ladas Drive on 0845 600 8000.
Dissident republicans are being blamed for the attack.