Self-refining fractal objects
Fractal Geometry

Article REF: AF218 V1

Self-refining fractal objects
Fractal Geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2017 | Lire en français

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19. Self-refining fractal objects

A subset of $ℝ^{n}$ is called self-affine if there is an anisotropic affine transformation for which it is invariant. This notion of self-affine allows us to generalize the notion of fractal constructed by self-similarity (p. 139 of ,

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Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and extensions, - North-Holland, 331 pages (1993).
(2) - ALBEVERIO (S.), PRATSIOVYTYL (M.), TORBIN (G.) - Transformations preserving the Hausdorff-Besicovitch dimension, - Central European Journal...

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