An Approach to Black traces the fate of Finnish artist Anna S. and her legacy. It's the late nineteenth century, and Anna is married to Eino, another artist. Eino gains fame and recognition for his idyllic evocations of family life. Anna, meanwhile, goes mad and is confined to an institution.
In present-day London, two people are driven to try and understand Anna: a young artist named Jonathan, who is descended from Anna and Eino, and retired Finnish academic Emma, who is writing a book about her. Through their quest, An Approach to Black explores questions of female agency and creativity, as well as desire and madness.