Abstract: Firstly, we proposed a rational fractal interpolation functions with function scaling factors for curve modeling, which could accurately characterize irregular data with weak self-similarity. Secondly, we discussed the stability, the convergence and box-dimension of fractal curves. The experimental results show that the proposed method performs better than cubic spline interpolation, polynomial fractal interpolation with function scaling factors and rational fractal interpolation with constant vertical scaling factors, which is more suitable for reconstructing real data and irregular data.

Key words: rational spline, fractal interpolation, function scaling factor, curve modeling