Projective properties of fractal sets

Anders Nilsson and Fredrik Georgsson

Chaos, Solitons & Fractals, 2008, vol. 35, issue 4, 786-794

Abstract: In this paper, it is shown that a bound on the box dimension of a set in 3D can be established by estimating the box dimension of the discrete image of the projected set i.e. from an image in 2D. It is possible to impose limits on the Hausdorff dimension of the set by estimating the box dimension of the projected set. Furthermore, it is shown how a realistic X-ray projection can be viewed as equivalent to an ideal projection when regarding estimates of fractal dimensions.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:4:p:786-794

DOI: 10.1016/j.chaos.2006.05.091

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