Screen Gems has set James Woods, Dominic Purcell and Willa Holland in “Straw Dogs,” the Rod Lurie-directed reimagining of the 1971 Sam Peckinpah film.Lurie wrote the script, which stars James Marsden as a Hollywood screenwriter who accompanies his wife (Kate Bosworth) as she returns to her hometown in Mississippi. Her ex-boyfriend (Alexander Skarsgard), a former high school football hero, sees her return as an opportunity to reclaim glory. Woods most recently lent his voice to the animated film “Surf’s Up,” Purcell starred in the Fox TV drama “Prison Break,” and Holland starred in “The OC” and the upcoming Screen Gems thriller “Legion.” Filming begins today in Shreveport, La. Marc Frydman is producing with Lurie. Gilbert Dumontet is executive producer.