CONTRIBUTIONS TO MODELING OF 4D FRACTALS

Authors

Keywords:

iterated function system, affine invariant iterated function system, convex hull property, fractal, modeling

Abstract

Affine invariant IFS’s (AIFS) are Iterated Function Systems whose affine transformations are based on areal coordinates with respect to a certain simplex. In this note, we consider 4-dimensional generalizations of some classic and non-classic fractal objects generated by such AIFS and show how it can be used for modeling purposes. The stress is put on the one of the most desirable properties in modeling, according to CAGD specialists, convex hull property.

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Published

2009-01-01

Issue

Vol. 33 (2009): 33 (LIX) (2009)

Section

Articles

How to Cite

[1]
E. Babače and L. Kocić, “CONTRIBUTIONS TO MODELING OF 4D FRACTALS”, Mat. Bilt., vol. 33, no. 1, pp. 53–61, Jan. 2009, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1752