Show simple item record

dc.contributor.authorYan, Zhipeien_US
dc.contributor.authorSchaefer, Scotten_US
dc.contributor.editorBommes, David and Huang, Huien_US
dc.description.abstractWe construct a family of barycentric coordinates for 2D shapes including non-convex shapes, shapes with boundaries, and skeletons. Furthermore, we extend these coordinates to 3D and arbitrary dimension. Our approach modifies the construction of the Floater-Hormann-Kós family of barycentric coordinates for 2D convex shapes.We show why such coordinates are restricted to convex shapes and show how to modify these coordinates to extend to discrete manifolds of co-dimension 1 whose boundaries are composed of simplicial facets. Our coordinates are well-defined everywhere (no poles) and easy to evaluate. While our construction is widely applicable to many domains, we show several examples related to image and mesh deformation.en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.subjectParametric curve and surface models
dc.titleA Family of Barycentric Coordinates for Co-Dimension 1 Manifolds with Simplicial Facetsen_US
dc.description.seriesinformationComputer Graphics Forum
dc.description.sectionheadersModeling and Deformation

Files in this item


This item appears in the following Collection(s)

  • 38-Issue 5
    Geometry Processing 2019 - Symposium Proceedings

Show simple item record