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Barnsley, M.F.* ; Massopust, P.

Bilinear fractal interpolation and box dimension.

J. Approx. Theory 192, 362-378 (2015)
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In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarević operators. By exhibiting a generalized "taxi-cab" metric, we show that the graph of a bilinear fractal interpolant is the attractor of an underlying contractive bilinear IFS. We present an explicit formula for the box-counting dimension of the graph of a bilinear fractal interpolant in the case of equally spaced data points.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Attractor ; Bilinear Ifs ; Bilinear Mapping ; Box Counting Dimension ; Fractal Interpolation ; Iterated Function System (ifs) ; Read-bajraktarević Operator
ISSN (print) / ISBN 0021-9045
e-ISSN 1096-0430
Quellenangaben Volume: 192, Issue: , Pages: 362-378 Article Number: , Supplement: ,
Publisher Elsevier
Publishing Place San Diego
Reviewing status