English, Article edition: MULTI-DIMENSIONAL SELF-AFFINE FRACTAL INTERPOLATION MODEL TONG ZHANG; ZHUO ZHUANG

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Bookmark: http://trove.nla.gov.au/version/143521
Physical Description
  • article
Language
  • English

Edition details

Title
  • MULTI-DIMENSIONAL SELF-AFFINE FRACTAL INTERPOLATION MODEL
Author
  • TONG ZHANG
  • ZHUO ZHUANG
Physical Description
  • article
Notes
  • Iterated function system (IFS) models have been explored to represent discrete sequences where the attractor of an IFS is self-affine either in R2 or R3 (R is the set of real numbers). In this paper, the self-affine IFS model is extended from R3 to Rn (n is an integer and greater than 3), which is called the multi-dimensional self-affine fractal interpolation model. This new model is presented by introducing the defined parameter "mapping partial derivative." A constrained inverse algorithm is given for the identification of the model parameters. The values of new model depend continuously on all of the variables. That is, the function is determined by the coefficients of the possibly multi-dimensional affine maps. So the new model is presented as much more general and significant.
  • Iterated function system, self-affine, fractal interpolation model
  • RePEc:wsi:acsxxx:v:09:y:2006:i:01:p:133-146
Language
  • English
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