Preprint
Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids
Zusammenfassung
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.
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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@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},
year={2008}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2008$n2008 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2008051921643 3000 Metzler, Wolfgang 3010 Yun, Chol Hui 4000 Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids / Metzler, Wolfgang 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2008051921643=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 08, 02 7136 ##0##urn:nbn:de:hebis:34-2008051921643
2008-05-19T14:25:10Z 2008-05-19T14:25:10Z 2008 urn:nbn:de:hebis:34-2008051921643 http://hdl.handle.net/123456789/2008051921643 873836 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Recurrent Iterated function system(RIFS) Fractal interpolation function(FIF) Box-counting dimension 510 Construction of recurrent fractal interpolation surfaces(RFISs) on rectangular grids Preprint 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. open access Metzler, Wolfgang Yun, Chol Hui Mathematische Schriften Kassel ;; 08, 02 Mathematische Schriften Kassel 08, 02
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