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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Bibliographic Details
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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Summary: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.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5044147