Bulletin of the Australian Mathematical Society · 2015 · 72 citations · 20 references
ArchitectureComputer ScienceMathematicsComputational GeometryGeometric ModelingCurve InterpolationFractal GeometryGeometry ProcessingShape InterpolationSpatial InterpolationSurface InterpolationFractal InterpolationFractal SurfacesGrid InterpolationGridsInterpolation Points
In this paper, we present a general framework to construct fractal interpolation surfaces (FISs) on rectangular grids. Then we introduce bilinear FISs, which can be defined without any restriction on interpolation points and vertical scaling factors.
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Fractal functions and interpolation
Michael F. Barnsley · Constructive Approximation · 1986 · 908 citations
Discrete Applied Mathematics · 2004 · 744 citations
Architecture, Computational Engineering, Design Optimization +13
Hidden Variable Fractal Interpolation Functions
Michael F. Barnsley, John H. Elton, Douglas P. Hardin et al. · SIAM Journal on Mathematical Analysis · 1989 · 225 citations