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Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids

Metzler, Wolfgang
Yun, Chol Hui

A recurrent iterated function system (RIFS) is a genaralization of an IFS and provides nonself-affine fractal sets which are closer to natural objects. In general, it's attractor is not a continuous surface in R3. A recurrent fractal interpolation surface (RFIS) is an attractor of RIFS which is a graph of bivariate continuous interpolation function. We introduce a general method of generating recurrent interpolation surface which are at- tractors of RIFSs about any data set on a grid.

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Citation
In: Mathematische Schriften Kassel 08, 02 / (2008) , S. ; 
@article{urn:nbn:de:hebis:34-2008051921643,
  author    ={Metzler, Wolfgang and Yun, Chol Hui},
  title    ={Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2008}
}