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RECURRENT FRACTAL INTERPOLATION SURFACES ON TRIANGULAR DOMAINS

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We present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on triangular domains. Then we introduce affine RFISs, which are easy to be generated while there are no… Click to show full abstract

We present a general framework to construct recurrent fractal interpolation surfaces (RFISs) on triangular domains. Then we introduce affine RFISs, which are easy to be generated while there are no restrictions on interpolation points and vertical scaling factors. We also obtain the box dimension of affine RFISs under certain constraints.

Keywords: triangular domains; interpolation surfaces; recurrent fractal; surfaces triangular; interpolation; fractal interpolation

Journal Title: Fractals
Year Published: 2019

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