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Related Experiment Video

Updated: Jul 25, 2025

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes

Published on: May 23, 2017

Local -fractal interpolation function.

Akash Banerjee¹, Md Nasim Akhtar^1,2, M A Navascués¹

¹Department of Mathematics, Presidency University, 86/1, College Street, Kolkata, 700 073 India.

The European Physical Journal. Special Topics

|June 26, 2023

Summary

This study introduces local non-affine fractal functions, extending traditional fractal interpolation. A new fractal operator is defined to map classical functions to their local fractal counterparts.

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Area of Science:

Mathematics
Fractal Geometry
Functional Analysis

Background:

Global fractal interpolation functions have been extensively studied.
Local fractal functions, based on local iterated function systems, generalize traditional fractal systems.

Purpose of the Study:

To construct local non-affine fractal functions.
To define and study properties of a fractal operator that maps classical functions to local fractal counterparts.

Main Methods:

Construction of local non-affine fractal functions.
Definition of a fractal operator.
Analysis of the fractal operator's properties.

Main Results:

Successfully constructed local non-affine fractal functions.
Defined a novel fractal operator.
Provided illustrative examples of the constructed functions' graphs.

Conclusions:

The study successfully extends fractal interpolation to local non-affine fractal functions.
The introduced fractal operator provides a bridge between classical and local fractal function spaces.