February 6, 2020 Conference paper Open Access

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

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        <foaf:name>Papadimitrakis, Dimitrios</foaf:name>
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        <foaf:name>Armstrong, Cecil G.</foaf:name>
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        <foaf:name>Le Moigne, Alan</foaf:name>
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        <foaf:name>Shahpar, Shahrokh</foaf:name>
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    <dct:title>Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing</dct:title>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#gYear">2020</dct:issued>
    <dcat:keyword>Hex mesh</dcat:keyword>
    <dcat:keyword>Medial Object</dcat:keyword>
    <dcat:keyword>Frame fields</dcat:keyword>
    <dcat:keyword>Cross fields</dcat:keyword>
    <dcat:keyword>Singularity</dcat:keyword>
    <dcat:keyword>Decomposition</dcat:keyword>
    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2020-02-06</dct:issued>
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    <dct:description>&lt;p&gt;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.&lt;/p&gt;</dct:description>
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