Conference paper Open Access

Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing

Papadimitrakis, Dimitrios; Armstrong, Cecil G.; Robinson, Trevor T.; Le Moigne, Alan; Shahpar, Shahrokh

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<oai_dc:dc xmlns:dc="" xmlns:oai_dc="" xmlns:xsi="" xsi:schemaLocation="">
  <dc:creator>Papadimitrakis, Dimitrios</dc:creator>
  <dc:creator>Armstrong, Cecil G.</dc:creator>
  <dc:creator>Robinson, Trevor T.</dc:creator>
  <dc:creator>Le Moigne, Alan</dc:creator>
  <dc:creator>Shahpar, Shahrokh</dc:creator>
  <dc:description>In this work, a novel method for creating decompositions of general 3D domains, suitable for hexahedral mesh generation is presented. To accomplish this, frames and cross-fields are generated on top of the medial object of the domain. The geometrical and topological information carried by the medial object, together with the directional information of the frames/crosses help analyze the domain. By generating frames and cross fields on medial vertices, edges and faces based on touching vectors, a directional field is constructed on top of the medial object. Based on it, critical lines in the domain called, singularity lines, are identified. Starting from these, a complete line network is created on the interior of the domain. This network is extruded to the boundary in order to create the boundary of high-quality partitioning surfaces that are used to decompose the domain into regions appropriate for a high-quality hexahedral mesh. Examples are given to validate the method.</dc:description>
  <dc:subject>Hex mesh</dc:subject>
  <dc:subject>Medial Object</dc:subject>
  <dc:subject>Frame fields</dc:subject>
  <dc:subject>Cross fields</dc:subject>
  <dc:title>Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing</dc:title>
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