Measuring and Controlling Fairness of Triangulations

Handle URI:
http://hdl.handle.net/10754/623118
Title:
Measuring and Controlling Fairness of Triangulations
Authors:
Jiang, Caigui ( 0000-0002-1342-4094 ) ; Günther, Felix; Wallner, Johannes; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
The fairness of meshes that represent geometric shapes is a topic that has been studied extensively and thoroughly. However, the focus in such considerations often is not on the mesh itself, but rather on the smooth surface approximated by it, and fairness essentially expresses a mesh’s suitability for purposes such as visualization or simulation. This paper focusses on meshes in the architectural context, where vertices, edges, and faces of meshes are often highly visible, and any notion of fairness must take new aspects into account. We use concepts from discrete differential geometry (star-shaped Gauss images) to express fairness, and we also demonstrate how fairness can be incorporated into interactive geometric design of triangulated freeform skins.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
vdf Hochschulverlag AG an der ETH Zürich
Journal:
Advances in Architectural Geometry 2016
Issue Date:
30-Sep-2016
DOI:
10.3218/3778-4_5
Type:
Book Chapter
ISBN:
978-3-7281-3778-4
Additional Links:
http://http://vdf.ch/advances-in-architectural-geometry-2016-e-book.html; https://vdf.ch/index.php?route=product/product/download&eoa_id=9087&product_id=2001
Appears in Collections:
Book Chapters

Full metadata record

DC FieldValue Language
dc.contributor.authorJiang, Caiguien
dc.contributor.authorGünther, Felixen
dc.contributor.authorWallner, Johannesen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2017-04-10T08:41:58Z-
dc.date.available2017-04-10T08:41:58Z-
dc.date.issued2016-09-30-
dc.identifier.isbn978-3-7281-3778-4-
dc.identifier.doi10.3218/3778-4_5-
dc.identifier.urihttp://hdl.handle.net/10754/623118-
dc.description.abstractThe fairness of meshes that represent geometric shapes is a topic that has been studied extensively and thoroughly. However, the focus in such considerations often is not on the mesh itself, but rather on the smooth surface approximated by it, and fairness essentially expresses a mesh’s suitability for purposes such as visualization or simulation. This paper focusses on meshes in the architectural context, where vertices, edges, and faces of meshes are often highly visible, and any notion of fairness must take new aspects into account. We use concepts from discrete differential geometry (star-shaped Gauss images) to express fairness, and we also demonstrate how fairness can be incorporated into interactive geometric design of triangulated freeform skins.en
dc.language.isoenen
dc.publishervdf Hochschulverlag AG an der ETH Zürichen
dc.relation.urlhttp://http://vdf.ch/advances-in-architectural-geometry-2016-e-book.htmlen
dc.relation.urlhttps://vdf.ch/index.php?route=product/product/download&eoa_id=9087&product_id=2001en
dc.subjectpolyhedral surfaceen
dc.subjectsmoothnessen
dc.subjectfairnessen
dc.subjectfreeform skinen
dc.subjecttriangulationen
dc.subjectoptimisationen
dc.titleMeasuring and Controlling Fairness of Triangulationsen
dc.typeBook Chapteren
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalAdvances in Architectural Geometry 2016en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionInstitute of Advanced Scientific Studies (IHES)en
dc.contributor.institutionVienna University of Technologyen
dc.contributor.institutionGraz University of Technologyen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
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