In the context of general iterated function systems (IFSs), we introducebilinear fractal interpolants as the fixed points of certainRead-Bajraktarevi\'{c} operators. By exhibiting a generalized "taxi-cab"metric, we show that the graph of a bilinear fractal interpolant is theattractor of an underlying contractive bilinear IFS. We present an explicitformula for the box-counting dimension of the graph of a bilinear fractalinterpolant in the case of equally spaced data points.
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