In this paper, we present a method for reconstructing the drawing process of Chinese brush paintings. We demonstrate the possibility of computing an artistically reasonable drawing order from a static brush painting that is consistent with the rules of art. We map the key principles of drawing composition to our computational framework, which first organizes the strokes in three stages and then optimizes stroke ordering with natural evolution strategies. Our system produces reasonable animated constructions of Chinese brush paintings with minimal or no user intervention. We test our algorithm on a range of input paintings with varying degrees of complexity and structure and then evaluate the results via a user study. We discuss the applications of the proposed system to painting instruction, painting animation, and image stylization, especially in the context of art teaching.