Implementation of Mandelbrot set and Julia Set on SOPC platform

Abstract

The method of fractal-geometry is widely applied in researches of computer graphics and simulation. Presented here is a study of the Escape-time fractals that generate Mandelbrot (M) Set and Julia (J) Set in hardware platform. The paper simulates M Set and J Set via MATLAB and implements complex calculations, large amounts of data storage and output based on System-on-a-Programmable-Chip (SOPC) embedded in Altera FPGA device. It is revealed that the fractal graphics appear differently at different iterations and complex parameters but identical at different scales. The results indicated that fractal algorithms and computer graphics can be implemented based on a smaller hardware platform.