Skip to main content
Top

2014 | OriginalPaper | Chapter

Researches on Control of Iterated Function System Attractors

Authors : Xiangdong Liu, Zhanguo Li, Degao Wang, Liming Wang

Published in: Unifying Electrical Engineering and Electronics Engineering

Publisher: Springer New York

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In order to enhance the ability of iterated function systems (IFSs) expression of nature things, this chapter introduces some simple methods to control the local structure of IFS attractors and the color of their images. Different from the former methods, the new method can control interrelation between the whole entity and the parts, and the interrelation between different parts by mapping control strings and matrixes. Finally, the effects of the method are shown by computer experiments in the simulation of trees.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
2.
go back to reference Demko S, Hodges L, Naylor B (1985) Construction of fractal objects with iterated function systems. Comput Graph 19(2):271–278 Demko S, Hodges L, Naylor B (1985) Construction of fractal objects with iterated function systems. Comput Graph 19(2):271–278
3.
go back to reference Barnsley MF, Demko S (1985) Iterated function systems and the global construction of fractals. Proc Royal Soc London A399:243–275MathSciNet Barnsley MF, Demko S (1985) Iterated function systems and the global construction of fractals. Proc Royal Soc London A399:243–275MathSciNet
4.
go back to reference Barnsley M (1988) Fractals everywhere. Academic, Salt Lake CityMATH Barnsley M (1988) Fractals everywhere. Academic, Salt Lake CityMATH
5.
go back to reference Haeseler FV, Peitgen H-O, Skordev G (1991) Linear cellular automata, substitutions, hierarchocal iterated function systems and attractors. In: Encarnacao JL, Peitgen H-O, Sakas G, Englert G (eds) Fractal geometry and computer graphics (chapter 1). Springer, New York, pp 3–23 Haeseler FV, Peitgen H-O, Skordev G (1991) Linear cellular automata, substitutions, hierarchocal iterated function systems and attractors. In: Encarnacao JL, Peitgen H-O, Sakas G, Englert G (eds) Fractal geometry and computer graphics (chapter 1). Springer, New York, pp 3–23
6.
go back to reference Sprott JC (1994) Automatic generation of iterated function systems. Comput Graph 18(3):417–420CrossRef Sprott JC (1994) Automatic generation of iterated function systems. Comput Graph 18(3):417–420CrossRef
7.
go back to reference Culik K II, Dube S (1993) Balancing order and chaos in image generation. Comput Graph 17(4):465–486CrossRef Culik K II, Dube S (1993) Balancing order and chaos in image generation. Comput Graph 17(4):465–486CrossRef
8.
go back to reference Layman JW, Womack TE (1990) Linear markov iterated function systems. Comput Graph 14(2):343–353CrossRef Layman JW, Womack TE (1990) Linear markov iterated function systems. Comput Graph 14(2):343–353CrossRef
Metadata
Title
Researches on Control of Iterated Function System Attractors
Authors
Xiangdong Liu
Zhanguo Li
Degao Wang
Liming Wang
Copyright Year
2014
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-4981-2_236