DISTANCE CRITERION FOR GENERATING 3D FRACTAL IMAGE

This article provides a generating criterion for 3D fractal images,i.e Distance Criterion,by which the 3D fractal images of complex logistic map are created when it's in bifurcating procession.Meanwhile,by the definition of two concrete distance criterion based on different attractor shape,comparison and analysis to corresponding image in dynamics and computer graphics significance are carried out.Distance Criterion can provide a new view point for study of the interior structure of complex quadratic maps and the visualization of movement stability.