Interpolation using local iterated function systems

The real data interpolation methods can be generalized with fractal functions. Iterated function systems are used in order to construct fractal functions. Local iterated function systems are important generalization of iterated function systems. In this article using the fact that graphs of piecewis...

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Published inAIP conference proceedings Vol. 1978; no. 1
Main Authors Ildikó, Somogyi, Anna, Soós
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 10.07.2018
Subjects
Fixed points (mathematics)
Fractals
Functions (mathematics)
Interpolation
Mathematical analysis
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ISSN0094-243X
1551-7616
DOI10.1063/1.5044147

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Abstract The real data interpolation methods can be generalized with fractal functions. Iterated function systems are used in order to construct fractal functions. Local iterated function systems are important generalization of iterated function systems. In this article using the fact that graphs of piecewise polynomial functions can be written as the fixed points of local iterated function system we study the behavior of local iterated function systems using Hermite interpolation methods.
AbstractList The real data interpolation methods can be generalized with fractal functions. Iterated function systems are used in order to construct fractal functions. Local iterated function systems are important generalization of iterated function systems. In this article using the fact that graphs of piecewise polynomial functions can be written as the fixed points of local iterated function system we study the behavior of local iterated function systems using Hermite interpolation methods.
Author Anna, Soós
Ildikó, Somogyi
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Simos, Theodore
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References Hutchinson, Rüschendorf (c4) 2000
Wang, Yu (c6) 2013
Navascués, Sebastián (c2) 2004
References_xml – start-page: 19
  year: 2004
  ident: c2
  article-title: Generalization of Hermite functions by fractal interpolation
  publication-title: J. Approx. Theory
– start-page: 109
  year: 2000
  ident: c4
  article-title: Selfsimilar Fractals and Selsimilar Random Fractals
  publication-title: Progress in Probability
– start-page: 1
  year: 2013
  ident: c6
  article-title: Fractal interpolation functions with variable parameters and their analytical properties
  publication-title: J. Approx. Theory
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Snippet The real data interpolation methods can be generalized with fractal functions. Iterated function systems are used in order to construct fractal functions....
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SubjectTerms Fixed points (mathematics)
Fractals
Functions (mathematics)
Interpolation
Mathematical analysis
Title Interpolation using local iterated function systems
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Volume 1978
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