A fictional glam group constructed for the 1998 Todd Haynes film Velvet Goldmine, Venus in Furs gets its name from a Velvet Underground song.
The English musicians who played under the name The Venus in Furs on the "Velvet Goldmine" soundtrack were Radiohead's Thom Yorke and Jonny Greenwood, David Gray, Suede's Bernard Butler, and Roxy Music's Andy Mackay. The Venus in Furs covers several Roxy Music songs with Thom Yorke channeling Bryan Ferry on vocals.
Thom Yorke does vocals on 3 of the 5 songs by Venus in Furs on the soundtrack: 2HB, Ladytron, and Bitter-Sweet.
Here is '2HB' - if you listen good and hard YES that is Thom singing.