Roman Polanski has written a letter thanking his supporters from the Alpine chalet where he's currently under house arrest.

"I have been overwhelmed by the number of messages of support and sympathy I have received in Winterthur prison, and that I continue to receive here, in my chalet in Gstaad, where I am spending the holidays with my wife and my children," says Polanski, in a letter written to friend Bernard-Henri Levy, who made it public at the director's request.

"I would like every one of them to know how heartening it is, when one is locked up in a cell, to hear this murmur of human voices and of solidarity in the morning mail. In the darkest moments, each of their notes has been a source of comfort and hope," Polanski writes.

After more than 60 days in a Swiss jail, Polanski was transferred to his chalet earlier this month, where he was able to spend the holidays with his family.

He's currently waiting to find out if he'll face extradition to the US for sentencing in his 1978 trial for having sex with a 13-year-old girl.