The issue you are raising is called a "Right of Publicity". Most states have right of publicity laws and I would expect California to be chief among them. A "right of publicity" is an individual's right to keep their image from being used for commericial gain. en.wikipedia.org/wiki/right_of_publicity
For instance, I cannot sell salsa with Tom Cruise's picture on it without his permission because it implies endorsement and he has a right to control his endorsement business. I could also not have a local play with his likeness on an advertising poster implying that he would be in the show (assuming he was not in the show) because that would deceive consumers.
To succeed in this type of action, my understanding is that you would need to be able to show that consumers/patrons of the show were confused and/or the producers of the show benefited financially from having your image in the poster (e.g., patrons recognized you). As one of the entertainment centers of the world, California right of publicity laws may have advanced further or be more nuanced than I am describing.
If you have a right of publicity action in California, you can file suit in state court to enjoin the company from continuing to use the poster and/or reimburse you for any financial losses you can demonstrate.
Answered on Sep 10th, 2013 at 9:19 AM