title: Hexagonal global parameterization of arbitrary surfaces.
abstract: We introduce hexagonal global parameterization, a new type of surface parameterization in which parameter lines respect sixfold rotational symmetries (6-RoSy). Such parameterizations enable the tiling of surfaces with nearly regular hexagonal or triangular patterns, and can be used for triangular remeshing. Our framework to construct a hexagonal parameterization, referred to as HEXCOVER, extends the QUADCOVER algorithm and formulates necessary conditions for hexagonal parameterization. We also provide an algorithm to automatically generate a 6-RoSy field that respects directional and singularity features in the surface. We demonstrate the usefulness of our geometry-aware global parameterization with applications such as surface tiling with nearly regular textures and geometry patterns, as well as triangular and hexagonal remeshing.
authors.affiliation: Freie Universität Berlin, Arnimallee 6, Berlin D-14195, Germany. matthias.nieser@fu-berlin.de
authors.forename: Matthias
authors.initials: M
authors.lastname: Nieser
authors.forename: Jonathan
authors.initials: J
authors.lastname: Palacios
authors.forename: Konrad
authors.initials: K
authors.lastname: Polthier
authors.forename: Eugene
authors.initials: E
authors.lastname: Zhang