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Open Access Green as soon as Postprint is submitted to ZB.
Bilinear fractal interpolation and box dimension.
J. Approx. Theory 192, 362-378 (2015)
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
Journal
Journal of Approximation Theory
Quellenangaben
Volume: 192,
Pages: 362-378
Publisher
Elsevier
Publishing Place
San Diego
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)