It's Christie Brinkley. She and Joel were married about two years after this video was made, in which she also appears as the "Uptown Girl". I can't link to any of the sites that have the poster because my FunTrivia account would be immediately terminated, but a quick google image search of "Christie Brinkley poster" shows the poster as the 17th result.
In an Australian TV interview in 2006, Billy Joel said: "The song was originally called 'Uptown Girls' not 'Uptown Girl.' I know it's associated with Christie, but when I started to write that song I had recently divorced prior to meeting her, all the sudden I'm a rock star and divorced. All these women were going to go out with me."
And in a 2010 interview with Howard Stern, he explained he was in the Caribbean on holiday and while playing piano one day he saw Elle McPherson, Christie Brinkley and Whitney Houston watching. Soon after he began dating McPherson - who was 19 at the time. Eventually, he reworked the song so it was about Brinkley and she was in the video. They married, but later divorced.
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