<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Thäle, Christoph</dc:creator>
  <dc:date>2009</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">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.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/301355</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/301355/files/thale_faf.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>European congress of stereology and image analysis, ECS10. - 2009, no. 10, p. 342-348</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">Random Fractal</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">Random Tessellation</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">Hausdorff Dimension</dc:subject>
  <dc:subject xmlns:ns4="xml" ns4:lang="en">Curvatures</dc:subject>
  <dc:subject xmlns:ns5="xml" ns5:lang="en">Mean Curvatures</dc:subject>
  <dc:subject xmlns:ns6="xml" ns6:lang="en">Fractal Curvatures</dc:subject>
  <dc:subject>info:eu-repo/classification/udc/51</dc:subject>
  <dc:title xmlns:ns7="xml" ns7:lang="en">A first attempt to fractal mosaics</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_5794</dc:type>
</oai_dc:dc>