Zhen Liang, Huo-Jun Ruan
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.
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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 restrictions on interpolation points and vertical scaling factors. We also obtain the box dimension of affine RFISs under certain constraints.
Key concepts: Affine transformation, Interpolation (computer graphics), Fractal, Mathematics, Scaling, Dimension (graph theory), Fractal dimension, Nearest-neighbor interpolation