Newton-Raphson method is one of the core algorithms which provide materials in the process of the realization of fractal art images. But there are some deficiencies such as low displaying speed, little varied patterns and difficult controlling in resulting fractal images with Newton-Raphson method. Thus, based on Newton-Raphson method, a modified algorithm of generating fractal images ? p-DQDA is proposed in this paper, greatly improving the speed of creating fractal images. And the general Newton iterative approach embedding parameters in the iterative process is also proposed, making it possible to generate a wide range of fractal art images with symmetric beauty by a simple parameter adjustment while drawing fractal images, thus enriching the resource library of fractal images.