A first attempt to fractal mosaics

Thäle, Christoph

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Conference paper (in proceedings)

A first attempt to fractal mosaics

Thäle, Christoph Department of Mathematics, University of Fribourg, Switzerland

2009

Published in:

European congress of stereology and image analysis, ECS10. - 2009, no. 10, p. 342-348

English A new model for random tessellations having a fractal component is introduced. An explicit formula for the Hausdorff dimension is given and the exact gauge function of its Hausdorff measure is calculated. Moreover, fractal curvatures and mean fractal curvatures are considered. A theoretical result about the relation of these quantities is shown and is demonstrated numerically by an example.

Faculty

Faculté des sciences et de médecine

Department

Département de Mathématiques

Language