Smooth interpolating curves and surfaces generated by iterated function systems

DOI10.4171/ZAA/571zbMath0777.41024MaRDI QIDQ687217

Peter R. Massopust

Publication date: 2 December 1993

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

iterated function systems\(C^ 1\)-interpolating surfaces\(C^ 2\)-interpolating fractal functions

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Multidimensional problems (41A63) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (16)

Generalized bivariate Hermite fractal interpolation function ⋮ A GENERALIZATION OF FRACTAL INTERPOLATION STOCHASTIC PROCESSES TO HIGHER DIMENSIONS ⋮ On the fractal fracture in brittle structures. Numerical approach ⋮ Chaotic orbits and bifurcation from a fixed point generated by an iterated function system ⋮ Affine zipper fractal interpolation functions ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ The exact Hausdorff dimension for a class of fractal functions ⋮ The B.E.M. in plane elastic bodies with cracks and/or boundaries of fractal geometry ⋮ Fractal surfaces ⋮ Mechanics on fractal bodies. Data compression using fractals ⋮ Fractal geometry in structural analysis problems: A variational formulation for fractured bodies with non-monotone interface conditions ⋮ On the fractal nature of problems in mechanics ⋮ On debonding and delamination effects in adhesively bonded cracks on fractal type ⋮ The Minkowski dimension of the bivariate fractal interpolation surfaces ⋮ Convergence of trajectories in fractal interpolation of stochastic processes ⋮ Further studies of bifurcations and chaotic orbits generated by iterated function systems.

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