The present paper aims to introduce a new concept of a non-stationary scheme for the so
called fractal functions. Here we work with a sequence of maps for the zipper iterated …

In this article, we introduce a new class of bi-quintic partially blended rational quartic zipper
fractal interpolation surfaces (RQZFISs) tailored for surface data over a rectangular grid. The …

One of the main tasks in the problems of machine learning and curve fitting is to develop
suitable models for given data sets. It requires to generate a function to approximate the data …

The fractal interpolation functions with appropriate iterated function systems provide a
method to perturb and approximate a continuous function on a compact interval I. This …

In this article, we present a novel generalization of a Bézier curve that can be non-smooth.
We name it the zipper fractal Bézier curve. This new curve is constructed using a class of …

Generating a function from its finite set of samples is widely studied in data fitting problems.
The theory of nonparametric modeling has been developed by many researchers, and …

In this paper we introduce a new general multivariate fractal interpolation scheme using
elements of the zipper methodology. Under the assumption that the corresponding Read …

This paper introduces a novel technique to approximate a given continuous function f
defined on a real compact interval by a new class of zipper α-fractal functions which contain …

A class of zipper fractal functions is more versatile than corresponding classes of traditional
and fractal interpolants due to a binary vector called a signature. A zipper fractal function …

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 …