English, Article edition: MULTI-DIMENSIONAL PIECE-WISE SELF-AFFINE FRACTAL INTERPOLATION MODEL IN TENSOR FORM TONG ZHANG; JIANLIN LIU; ZHUO ZHUANG

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Bookmark: http://trove.nla.gov.au/version/133937
Physical Description
  • article
Language
  • English

Edition details

Title
  • MULTI-DIMENSIONAL PIECE-WISE SELF-AFFINE FRACTAL INTERPOLATION MODEL IN TENSOR FORM
Author
  • TONG ZHANG
  • JIANLIN LIU
  • ZHUO ZHUANG
Physical Description
  • article
Notes
  • Iterated Function System (IFS) models have been used to represent discrete sequences where the attractor of the IFS is piece-wise self-affine in R2 or R3 (R is the set of real numbers). In this paper, the piece-wise self-affine IFS model is extended from R3 to Rn (n is an integer greater than 3), which is called the multi-dimensional piece-wise self-affine fractal interpolation model.This model uses a "mapping partial derivative" and a constrained inverse algorithm to identify the model parameters. The model values depend continuously on all the model parameters, and represent most data which are not multi-dimensional self-affine in Rn. Therefore, the result is very general. Moreover, the multi-dimensional piece-wise self-affine fractal interpolation model in tensor form is more terse than in the usual matrix form.
  • Piece-wise self-affine, iterated function system, fractal interpolation
  • RePEc:wsi:acsxxx:v:09:y:2006:i:03:p:287-293
Language
  • English
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