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Published Paper Details:
Paper Title
ITERATED FUNCTION SYSTEMS AS A GENERATOR OF FRACTAL OBJECTS
Authors
Arun Mahanta, Hemanta Kr. Sarmah , Gautam Choudhury
Keywords
Affine transformation, Attractor, Contraction factor, Contractive mapping, Fractal, Haudorff dimension, Iterated Function Systems, Metric space.
Abstract
In this paper we have done some investigation on some concepts of the theory of metric space to analyze fractal objects. If we iteratively apply a finite set of contraction mappings to any point on a compact metric space, we will come arbitrarily close to a set of points in the space which is very often fractal. The present work addresses the problem of how iterated function systems may be used to construct such fractal objects. For this purpose, we discuss two algorithms producing fractals, namely that of deterministic algorithm, and random iterated algorithm. We have also discussed about the connection between Hausdorff dimension and iterated function systems.
IJCRT's Publication Details
Unique Identification Number - IJCRT1803120
Paper ID - 184293
Page Number(s) - 123-142
Pubished in - Volume 6 | Issue 1 | March 2018
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Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
Arun Mahanta, Hemanta Kr. Sarmah , Gautam Choudhury, "ITERATED FUNCTION SYSTEMS AS A GENERATOR OF FRACTAL OBJECTS", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.6, Issue 1, pp.123-142, March 2018, Available at :http://www.ijcrt.org/papers/IJCRT1803120.pdf
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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