This study proposes novel methods for preserving the shape of positive and range-restricted
data using a quintic trigonometric Bézier curve with two shape parameters. Automated …

This note aims to introduce a bivariate fractal interpolation method by using the concept of
zipper. In this note, we establish a general method to construct the zipper fractal …

The appearance of fractal interpolation function represents a revival of experimental
mathematics, raised by computers and intensified by powerful evidence of its applications …

Coalescence hidden variable fractal interpolation function (CHFIF) proves more versatile
than classical interpolant and fractal interpolation function (FIF). Using rational functions and …

This paper sets a theoretical foundation for applications of fractal interpolation functions
(FIFs). We construct rational cubic spline FIFs (RCSFIFs) with a quadratic denominator …

This paper investigates some univariate and bivariate constrained interpolation problems
using rational quartic fractal interpolation functions, which has been submitted long back in a …

This paper sets a theoretical foundation for applications of fractal interpolation functions
(FIFs). We construct rational cubic spline FIFs (RCSFIFs) with a quadratic denominator …

Modeling a natural phenomenon or process involves the use of its geometric structure. The
fractal geometry unifies the geometric representation of reality and provides a universal …

The idea of graph-directed fractal interpolation function (FIF) is introduced recently to
represent several dependent data sets from graph-directed iterated function system (GDIFS) …