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
Random Fractal
Random Tessellation
Hausdorff Dimension
Curvatures
Mean Curvatures
Fractal Curvatures
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
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 13184
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301355
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