Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property

Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property

In recent years, fractal is widely used everywhere and escape time algorithm (ETA) became the most useful fractal creating method. However, ETA performs not so well because it needs huge computations. So, in this paper, we first present an improved fractal creating algorithm by symmetrical radius of...

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Main Authors: Gelan Yang, Shuai Liu
Format: Article
Language:English
Published: SAGE Publishing 2014-05-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1155/2014/398583
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spelling doaj-d944a4801f234c9d87ce633ac7fad6f12020-11-25T03:15:32ZengSAGE PublishingInternational Journal of Distributed Sensor Networks1550-14772014-05-011010.1155/2014/398583398583Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical PropertyGelan Yang0Shuai Liu1 College of Computer Science, Inner Mongolia University, Hohhot 010012, China School of Physical Science and Technology, Inner Mongolia University, Hohhot 010012, ChinaIn recent years, fractal is widely used everywhere and escape time algorithm (ETA) became the most useful fractal creating method. However, ETA performs not so well because it needs huge computations. So, in this paper, we first present an improved fractal creating algorithm by symmetrical radius of k - M set. Meanwhile, we use distributed cooperative method to improve classic ETA into parallel system, which is called distributed cooperative ETA (DCETA). Secondly, we present the proof of fractal property in k - M set f c z = z k + c with exponent k    ( k < 0 ) , which concludes its threshold and symmetrical property. Finally, computational result shows correctness of the novel DCETA, which shows better computational effectiveness and lower waste.https://doi.org/10.1155/2014/398583
collection DOAJ
language English
format Article
sources DOAJ
author Gelan Yang
Shuai Liu
spellingShingle Gelan Yang
Shuai Liu
Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
International Journal of Distributed Sensor Networks
author_facet Gelan Yang
Shuai Liu
author_sort Gelan Yang
title Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
title_short Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
title_full Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
title_fullStr Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
title_full_unstemmed Distributed Cooperative Algorithm for Set with Negative Integer by Fractal Symmetrical Property
title_sort distributed cooperative algorithm for set with negative integer by fractal symmetrical property
publisher SAGE Publishing
series International Journal of Distributed Sensor Networks
issn 1550-1477
publishDate 2014-05-01
description In recent years, fractal is widely used everywhere and escape time algorithm (ETA) became the most useful fractal creating method. However, ETA performs not so well because it needs huge computations. So, in this paper, we first present an improved fractal creating algorithm by symmetrical radius of k - M set. Meanwhile, we use distributed cooperative method to improve classic ETA into parallel system, which is called distributed cooperative ETA (DCETA). Secondly, we present the proof of fractal property in k - M set f c z = z k + c with exponent k    ( k < 0 ) , which concludes its threshold and symmetrical property. Finally, computational result shows correctness of the novel DCETA, which shows better computational effectiveness and lower waste.
url https://doi.org/10.1155/2014/398583
work_keys_str_mv AT gelanyang distributedcooperativealgorithmforsetwithnegativeintegerbyfractalsymmetricalproperty
AT shuailiu distributedcooperativealgorithmforsetwithnegativeintegerbyfractalsymmetricalproperty
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