ON THE EXACT CONVEX HULL OF IFS FRACTALS

Author:

VASS JÓZSEF1

Affiliation:

1. Faculty of Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada N2L 3G1, Canada

Abstract

The problem of finding the convex hull of an IFS fractal is relevant in both theoretical and computational settings. Various methods exist that approximate it, but our aim is its exact determination. The finiteness of extremal points is examined a priori from the IFS parameters, revealing some cases when the convex hull problem is solvable. Former results are detailed from the literature, and two new methods are introduced and crystallized for practical applicability — one more general, the other more efficient. Focal periodicity in the address of extremal points emerges as the central idea.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Extreme points in limit sets;Proceedings of the American Mathematical Society;2019-06-14

2. CONVEX HULLS OF SIERPIŃSKI RELATIVES;Fractals;2018-12

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