Algorithm of Controllable Fractal Image Based on IFS Code

Simulated generation of fractal images is useful in various fields such as information steganography, art decoration, film and television scenes. However, the generation mechanism of fractal images has not been clarified, the function of generation parameters is not clear, and the generated fractal object is insufficiently controllable, which limit the application. Therefore, it is of great significance to explore the role of various affine transformation parameters in the IFS system to obtain the method of generating free and controllable fractal images. Based on the principle of generating fractal images by iterated function system, this paper analyzed the influence of the generation of each affine transformation of IFS code on the appearance of the fractal image. Fractal images with different transformation characteristics were generated by analyzing the types and variation law of affine transformation. The controllability parameters of the IFS code were adjusted to simulate different forms of fractal trees and fractal mountains, and to construct more natural fractal forest and fractal mountains based on this, so as to provide more controllable fractal images for application fields such as information steganography.