Vinessa Shaw, fresh off her role in Stanley Kubrick’s “Eyes Wide Shut” has signed for the female lead in Mika Kaurismaki’s indie pic “Los Angeles Without a Map.”Shaw plays an American waitress on vacation in London in the pic, which started shooting last week in L.A. She stars opposite David Tennant of the Royal Shakespeare Co. in London, most recently seen in the indie, “Bite.” Vincent Gallo, Julie Delpy and Amanda Plummer make up the supporting roles. A quirky, romantic modern-day comedy, the story follows a young Englishman (Tennant) who falls in love with Shaw. After she returns to the States, he tries to find her in L.A. with only a matchbook as a clue. A Dan Films production in association with Euro American Films S.A. (France) and Marianna Films Oy (Finland), the pic is produced by Julie Baines and Sarah Daniel. Shaw received nominations from Youth in Film Awards as best young actress for her roles in “Lady Bugs” and “Hocus Pocus.” She has also guest starred on “New York Undercover,” “Murder, She Wrote” and “Fallen Angels.” Her deal was done by Pamela Cole and Julia Buchwald of Don Buchwald and Associates, and her attorney, Steve Warren. She is managed by Eric Kranzler.