Digital image sampling curve feature extraction using triangle fractal method

Based on discrete Lyapunov theory, the paper first gives the definition of a chaotic curve, then according to the fractal character of such curves, an iterative function system (IFS), which consists of a series of affine transforms on a triangle basis is designed, so a triangle fractal feature extraction method is introduced. The result of an experiment indicated the mathematical model we proposed has fast converge speed and can provide rich and accurate features of the curves.