The 32-year-old athlete spent a night in hospital in England after he a van collided near his home in Lancashire on Wednesday night.
"I'd like to take this opportunity to thank everyone for their kind thoughts and messages over the last 48 hours, and of course all the staff at the Royal Preston Hospital who looked after me so well," Wiggins said on www.teamsky.com last night.
"Although I'm still a little bit sore I will now be spending time at home with my family and concentrating on making a full recovery.
"I'm looking forward to getting back on the bike soon and continuing my preparations for the 2013 season."
After a formal interview, the van driver, Cath Burrows, 44, was summonsed by Lancashire Police over driving without due care and attention.
Four-time Olympic champion Wiggins was taken to hospital with a bruised hand and ribs after the collision near his home.
In a statement last night, a police spokesman said: "Following a voluntary attendance for interview with Lancashire Police, a 44-year-old woman from West Lancashire has been reported for summons for driving without due care and attention.
"However an investigation into the full circumstances of the incident is still under way."
Wiggins was taken by ambulance to Royal Preston Hospital following the crash in Crow Orchard Road, Wrightington, shortly after 6pm.
The incident happened when a white Vauxhall Astra Envoy drove out of a garage forecourt.
It was reported that Wiggins was riding a mountain bike to meet a group of local cyclists near to his home in Eccleston.
Team Sky confirmed Wiggins suffered bruising, a fractured rib, a bruised lung and a dislocated finger.
Wiggins, who became the Tour's first British winner in July before winning Olympic time-trial gold at Hampton Court on August 1, also issued an apology for a one-fingered gesture to photographers as he travelled home on Thursday.
He said yesterday: "I would also like to apologise for the gesture that I made when I arrived home yesterday afternoon.
"I was tired, in a lot of pain, and just wanted to get inside, but I shouldn't have reacted the way I did. I'm sorry for that."
In a separate road accident, British cycling head coach Shane Sutton was also admitted to hospital on Thursday with a fractured cheek bone and bleeding on the brain.
Sutton, 55, was riding along the A6 Stockport Road in Levenshulme when he was involved in a collision with a blue Peugeot 206 driven by a 61-year-old man.
British Cycling director Martin Gibbs told BBC Sport: "(Shane's) had a severe knock but he should be fine."
Sutton was part of the management team which has helped Wiggins to many successes including the world's toughest bike race and this year's time trial gold medal at the London Olympics.