Discrete Line Congruences for Shading and Lighting

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dc.contributor.authorWang, Junen_US
dc.contributor.authorJiang, Caiguien_US
dc.contributor.authorBompas, Philippeen_US
dc.contributor.authorWallner, Johannesen_US
dc.contributor.authorPottmann, Hellmuten_US
dc.contributor.editorYaron Lipman and Hao Zhangen_US
dc.date.accessioned2015-02-28T15:50:33Z
dc.date.available2015-02-28T15:50:33Z
dc.date.issued2013en_US
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_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12172en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectComputer Graphics [I.3.5]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.titleDiscrete Line Congruences for Shading and Lightingen_US
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32-Issue 5
SGP13: Eurographics Symposium on Geometry Processing (CGF 32-5)