February 6, 2020 Conference paper Open Access

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

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{
  "publisher": "Zenodo", 
  "DOI": "10.5281/zenodo.3653428", 
  "language": "eng", 
  "title": "Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing", 
  "issued": {
    "date-parts": [
      [
        2020, 
        2, 
        6
      ]
    ]
  }, 
  "abstract": "<p>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.</p>", 
  "author": [
    {
      "family": "Papadimitrakis, Dimitrios"
    }, 
    {
      "family": "Armstrong, Cecil G."
    }, 
    {
      "family": "Robinson, Trevor T."
    }, 
    {
      "family": "Le Moigne, Alan"
    }, 
    {
      "family": "Shahpar, Shahrokh"
    }
  ], 
  "id": "3653428", 
  "event-place": "Buffalo, New York, USA", 
  "type": "paper-conference", 
  "event": "28th International Meshing Roundtable (IMR)"
}