The £10 million account, won in September last year, was resigned only two months later when the Publicis network gained entry to Procter & Gamble's global roster.
The move will result in Publicis taking on P&G's Charmin, one of Velvet's closest competitors.
Velvet is moving to Fallon, a Publicis Groupe subsidiary.
Tony Kaye directed the 30- and 40-second spots, representing a complete break with earlier work through Roose, which starred a Hyacinth Bucket-type comic character.
Shot in black and white, the films feature bottoms in all shapes and sizes, each of which is accompanied by a one-word description such as "noble", "curvy" or "firmish".
The accompanying soundtrack is an instrumental version of the Perry Como hit A You're Adorable.
Publicis said the campaign was an attempt to overcome the hidebound, strict and old-fashioned conventions surrounding advertising in the category.
Paul Quarry, the writer who produced the commercials with his art director, Pete Gatley, said: "Our brief from the client was to drag it into the 21st century."
Carat is handling media planning and buying for the campaign, which aims to reposition Velvet as a personal care item instead of a household utility product.
SCA Hygiene Products, which makes Velvet, is among the manufacturers trying to stop toilet tissue turning into a commodity market in which own-label products have a 40 per cent share.