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Parametric form fractal interpolation

Author: LiYan
Tutor: ShengZhongPing
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Parametric form Fractal interpolation Affine IFS Holographic IFS Bureau interest IFS Hyperbolic
CLC: O241.3
Type: Master's thesis
Year: 2007
Downloads: 129
Quote: 1
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Abstract


This paper discusses the parameters in the form of fractal interpolation problem (PFIP). First, clearly put forward the argument form fractal interpolation problem definition given parametric form fractal interpolation function space concept , and pointed out the parametric form fractal interpolation function spaces. Then in Barnsley affine fractal interpolation theory, Sheng Zhongping holographic fractal interpolation theory and the Bureau of interest fractal interpolation theory , create a parameter in the form of affine interpolation IFS, parametric form of holographic interpolation IFS, parametric form of bureau -bearing interpolation IFS, and found the three iterated function systems as hyperbolic iterated function systems some sufficient conditions and proves IFS fractal interpolation parameter form attractor A for a continuous vector-valued function f relations image G [f].

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Interpolation
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