Abstract :
In this paper, we mainly study the law of stock price changes and the fitting method of it. After introducing the key point of fractal and Genetic Algorithm, we focus on explaining the inverse problems of piecewise fractal interpolation theoretically first. Then, based on the theory, we analyze a large amount of stock price data, calculate all the values of parameters in the model, and finally get an image of the attractor. The result is comparatively satisfying, so that this algorithm is very effective.