Research Article

Difference based Non-Linear Fractals using IFS

by  B Dinesh Rao, Deepak Rao B, U C Niranjan
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 80 - Issue 13
Published: October 2013
Authors: B Dinesh Rao, Deepak Rao B, U C Niranjan
10.5120/13924-1867
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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 },
                        year    = { 2013 },
                        volume  = { 80 },
                        number  = { 13 },
                        pages   = { 38-42 },
                        doi     = { 10.5120/13924-1867 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A B Dinesh Rao
                        %A Deepak Rao B
                        %A U C Niranjan
                        %T Difference based Non-Linear Fractals using IFS%T 
                        %J International Journal of Computer Applications
                        %V 80
                        %N 13
                        %P 38-42
                        %R 10.5120/13924-1867
                        %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
  • Frederic Raynal, Evelyne, Lutton, Pierre Collet, Manipulation of Non-Linear IFS Attractors Using Genetic Programming (1999), Proceedings of the Congress on Evolutionary Computation.
  • Dinesh Rao B, Deepak Rao, Niranjan U. C, Non-linear Fractals using IFS, NCIS, NCKBFT-07, Manipal University, 2007.
  • Barnsley, A better way to compress images, Byte, January 1988.
  • Barnsley, Fractals everywhere, Academic Press 1988.
  • Lu Ning, Fractal Imaging, academic Press 1997.
  • 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
No index terms available.
Keywords

IFS Fractals non-linear

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