Measuring and controlling fairness of triangulations

C. Jiang, F. Günther, Johannes Wallner*, H. Pottmann

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


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 visualisation 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.
Original languageEnglish
Title of host publicationAdvances in Architectural Geometry 2016
PublisherHochschulverlag Zürich
Publication statusPublished - 2016
Event5th Symposium on Advances in Architectural Geometry: AAG 2016 - Zürich, Switzerland
Duration: 9 Sept 201613 Sept 2016


Conference5th Symposium on Advances in Architectural Geometry

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