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Reseach Article

Difference based Non-Linear Fractals using IFS

by B Dinesh Rao, Deepak Rao B, U C Niranjan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 80 - Number 13
Year of Publication: 2013
Authors: B Dinesh Rao, Deepak Rao B, U C Niranjan
10.5120/13924-1867

B Dinesh Rao, Deepak Rao B, U C Niranjan . Difference based Non-Linear Fractals using IFS. International Journal of Computer Applications. 80, 13 ( October 2013), 38-42. DOI=10.5120/13924-1867

@article{ 10.5120/13924-1867,
author = { B Dinesh Rao, Deepak Rao B, U C Niranjan },
title = { Difference based Non-Linear Fractals using IFS },
journal = { International Journal of Computer Applications },
issue_date = { October 2013 },
volume = { 80 },
number = { 13 },
month = { October },
year = { 2013 },
issn = { 0975-8887 },
pages = { 38-42 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume80/number13/13924-1867/ },
doi = { 10.5120/13924-1867 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:54:29.486602+05:30
%A B Dinesh Rao
%A Deepak Rao B
%A U C Niranjan
%T Difference based Non-Linear Fractals using IFS
%J International Journal of Computer Applications
%@ 0975-8887
%V 80
%N 13
%P 38-42
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Fractals are self-similar images. There are many techniques for generating fractals. IFS are one of them. IFS use a set of linear transformations for generation of fractals. We propose a method of modifying IFS such that non-linear transformations can be used for generating pleasant looking fractals. We also show a technique which ensures convergence of the fractal Images. Non-linear fractals have been developed by Frederic Raynal, Evelyne, Lutton and Pierre Collet [1]. It is difficult to ensure that convergence using their method. Our method is similar to the one in IFS and very easily understandable [2]. Fractal compression is also one of the important compression techniques [3].

References
  1. Frederic Raynal, Evelyne, Lutton, Pierre Collet, Manipulation of Non-Linear IFS Attractors Using Genetic Programming (1999), Proceedings of the Congress on Evolutionary Computation.
  2. Dinesh Rao B, Deepak Rao, Niranjan U. C, Non-linear Fractals using IFS, NCIS, NCKBFT-07, Manipal University, 2007.
  3. Barnsley, A better way to compress images, Byte, January 1988.
  4. Barnsley, Fractals everywhere, Academic Press 1988.
  5. Lu Ning, Fractal Imaging, academic Press 1997.
  6. Stephen Demko, Laurie Hodges and Bruce Naylor , Construction of Fractal Objects with Iterated Function Systems, ACM SIGGRAPH Computer Graphics, 1985.
Index Terms

Computer Science
Information Sciences

Keywords

IFS Fractals non-linear