The Box Fractal Sets Based on Bilinear Transformation Iterated Function System

Abstract: For solving the problem which typical Iterated Function System(IFS for short) attractor is very "regular",we attempt to use bilinear transformation IFS through geometric approach, and use it to generate a kinds of fractal set: box fractal set. The result shows that bilinear transformation IFS can generate attractors with a higher degree of flexibility、reality, and a higher modeling capability. It's important to research nonlinear interactive fractal modeling algorithm