2015/09/07 by Md. Nasim Akhtar, Akhtar, Md. Nasim, M. G. Prasad +1
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Image and Signal Denoising Methods #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.1509.01924
openalex publication_date 2015/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Fractal interpolation function (FIF) is a special type of continuous function\nwhich interpolates certain data set and the attractor of the Iterated function\nsystem (IFS) corresponding to the data set is the graph of the FIF. Coalescence\nHidden-variable Fractal Interpolation Function (CHFIF) is both self-affine and\nnon self-affine in nature depending on the free variables and constrained free\nvariables for a generalized IFS. In this article graph directed iterated\nfunction system for a finite number of generalized data sets is considered and\nit is shown that the projections of the attractors on \ℝ2 is the\ngraph of the CHFIFs interpolating the corresponding data sets.\n