Discrete Line Congruences for Shading and Lighting

Handle URI:
http://hdl.handle.net/10754/331932
Title:
Discrete Line Congruences for Shading and Lighting
Authors:
Wang, Jun; Jiang, Caigui ( 0000-0002-1342-4094 ) ; Bompas,Philippe; Wallner, Johannes; Pottmann, Helmut ( 0000-0002-3195-9316 )
Abstract:
Two-parameter families of straight lines (line congruences) are implicitly present in graphics and geometry processing in several important ways including lighting and shape analysis. In this paper we make them accessible to optimization and geometric computing, by introducing a general discrete version of congruences based on piecewise-linear correspondences between triangle meshes. Our applications of congruences are based on the extraction of a so-called torsion-free support structure, which is a procedure analogous to remeshing a surface along its principal curvature lines. A particular application of such structures are freeform shading and lighting systems for architecture. We combine interactive design of such systems with global optimization in order to satisfy geometric constraints. In this way we explore a new area where architecture can greatly benefit from graphics.
KAUST Department:
Visual Computing Center (VCC)
Citation:
Discrete Line Congruences for Shading and Lighting 2013, 32 (5):53 Computer Graphics Forum
Publisher:
Wiley-Blackwell
Journal:
Computer Graphics Forum
Issue Date:
Jul-2013
DOI:
10.1111/cgf.12172
Type:
Article
ISSN:
01677055
Additional Links:
http://doi.wiley.com/10.1111/cgf.12172; dl.acm.org/citation.cfm?id=2600297; http://www.dmg.tuwien.ac.at/pottmann/2013/lineconsgp/index.html
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorWang, Junen
dc.contributor.authorJiang, Caiguien
dc.contributor.authorBompas,Philippeen
dc.contributor.authorWallner, Johannesen
dc.contributor.authorPottmann, Helmuten
dc.date.accessioned2014-09-29T06:50:50Z-
dc.date.available2014-09-29T06:50:50Z-
dc.date.issued2013-07en
dc.identifier.citationDiscrete Line Congruences for Shading and Lighting 2013, 32 (5):53 Computer Graphics Forumen
dc.identifier.issn01677055en
dc.identifier.doi10.1111/cgf.12172en
dc.identifier.urihttp://hdl.handle.net/10754/331932en
dc.description.abstractTwo-parameter families of straight lines (line congruences) are implicitly present in graphics and geometry processing in several important ways including lighting and shape analysis. In this paper we make them accessible to optimization and geometric computing, by introducing a general discrete version of congruences based on piecewise-linear correspondences between triangle meshes. Our applications of congruences are based on the extraction of a so-called torsion-free support structure, which is a procedure analogous to remeshing a surface along its principal curvature lines. A particular application of such structures are freeform shading and lighting systems for architecture. We combine interactive design of such systems with global optimization in order to satisfy geometric constraints. In this way we explore a new area where architecture can greatly benefit from graphics.en
dc.language.isoenen
dc.publisherWiley-Blackwellen
dc.relation.urlhttp://doi.wiley.com/10.1111/cgf.12172en
dc.relation.urldl.acm.org/citation.cfm?id=2600297en
dc.relation.urlhttp://www.dmg.tuwien.ac.at/pottmann/2013/lineconsgp/index.htmlen
dc.rightsArchived with thanks to Computer Graphics Forumen
dc.titleDiscrete Line Congruences for Shading and Lightingen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalComputer Graphics Forumen
dc.eprint.versionPre-printen
dc.contributor.institutionTU Grazen
dc.contributor.institutionTU Wienen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorPottmann, Helmuten
kaust.authorWang, J.en
kaust.authorJiang, Caiguien
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