Bilinear fractal interpolation and box dimension

DOI10.1016/j.jat.2014.10.014zbMath1315.28003arXiv1209.3139OpenAlexW1985083209MaRDI QIDQ2256627

Peter R. Massopust, Michael F. Barnsley

Publication date: 20 February 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3139

zbMATH Keywords

attractorbox counting dimensionfractal interpolationiterated function system (IFS)bilinear mappingRead-Bajraktarević operatorbilinear IFS

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Fractals (28A80)

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Cites Work

• Novel method of fractal approximation
• Parameter identification of 1D fractal interpolation functions using bounding volumes
• The capacity for a class of fractal functions
• Fractal functions and interpolation
• Real projective iterated function systems
• Fractal homeomorphism for bi-affine iterated function systems
• The chaos game on a general iterated function system
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