Closed fractal interpolation surfaces

DOI10.1016/j.jmaa.2006.04.009zbMath1110.28004OpenAlexW2033382367MaRDI QIDQ860555

P. Bouboulis, Leoni Dalla

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.009

zbMATH Keywords

iterated function systemsbivariate fractal interpolation surfacesclosed spherical fractal interpolation surfaces

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (14)

Fractal interpolation surfaces derived from fractal interpolation functions ⋮ Fractal spherical harmonics ⋮ PSEUDO RANDOM NUMBER GENERATION WITH THE AID OF ITERATED FUNCTION SYSTEMS ON ℝ² ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ CONSTRUCTION OF FRACTAL SURFACES ⋮ Variation and Minkowski dimension of fractal interpolation surface ⋮ Nonlinear bivariate fractal interpolation function on grids ⋮ Fractal perturbation preserving fundamental shapes: bounds on the scale factors ⋮ Fractal perturbation of shaped functions: convergence independent of scaling ⋮ A NEW CONSTRUCTION OF THE FRACTAL INTERPOLATION SURFACE ⋮ Approximation by hidden variable fractal functions: a sequential approach ⋮ Positive blending Hermite rational cubic spline fractal interpolation surfaces ⋮ CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION

Cites Work

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• Fractal surfaces
• The Minkowski dimension of the bivariate fractal interpolation surfaces
• Recurrent iterated function systems
• Fractal interpolation surfaces and a related 2-D multiresolution analysis
• Counterexamples in parameter identification problem of the fractal interpolation functions
• On the parameter identification problem in the plane and the polar fractal interpolation functions
• Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
• IMAGE COMPRESSION USING RECURRENT BIVARIATE FRACTAL INTERPOLATION SURFACES
• The Study on Bivariate Fractal Interpolation Functions and Creation of Fractal Interpolated Surfaces
• BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS
• Study of generation of rock fracture surfaces by using fractal interpolation.

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