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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.
", "languages": [ { "id": "eng", "title": { "en": "English" } } ], "publication_date": "2020-02-06", "publisher": "Zenodo", "resource_type": { "id": "publication-conferencepaper", "title": { "de": "Konferenzbeitrag", "en": "Conference paper" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "Hex mesh" }, { "subject": "Medial Object" }, { "subject": "Frame fields" }, { "subject": "Cross fields" }, { "subject": "Singularity" }, { "subject": "Decomposition" } ], "title": "Building Direction Fields on the Medial Object to Generate 3D Domain Decompositions for Hexahedral Meshing" }, "parent": { "access": { "owned_by": { "user": 76941 } }, "communities": { "default": "b36b2856-dd2a-4ae5-9c83-bb40d647ab81", "entries": [ { "access": { "member_policy": "open", "members_visibility": "public", "record_policy": "open", "review_policy": "open", "visibility": "public" }, "children": { "allow": false }, "created": "2019-10-21T15:04:59.288176+00:00", "custom_fields": {}, "deletion_status": { "is_deleted": false, "status": "P" }, "id": "b36b2856-dd2a-4ae5-9c83-bb40d647ab81", "links": {}, "metadata": { "curation_policy": "Only submissions which were reviewed and accepted for the 28th International Meshing Roundtable, and where authors have signed and returned the license and copyright agreement to the program committee, will be posted on this page.
\r\n", "page": "This page hosts the Proceedings of the 28th International Meshing Roundtable ISBN 978-1-7334890-0-3. It includes a collection of original academic articles that have been peer reviewed by experts in the fields of meshing and computational geometry. Each work was presented as part of the program agenda for the 28th International Meshing Roundtable in Buffalo, NY, USA.
\r\n\r\nIn 1992, Sandia National Laboratories started the Meshing Roundtable as a small meeting of like-minded companies and organizations striving to establish a common focus for research and development in the field of mesh and grid generation. The International Meshing Roundtable has become recognized as an international focal point annually attended by researchers and developers from dozens of countries around the world.
\r\n\r\nThe International Meshing Roundtable continues to focus on bringing together researchers and developers from academia, national labs and industry in a stimulating, open environment to share technical information related to mesh generation and general pre-processing techniques. This Zenodo community page hosts the Proceedings of the 28th International Meshing Roundtable.
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