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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, April 5, 2013 - 05:00

Location:

GLK 104

Event Link:

Guest Speaker:

Institution:

OSU EECE

Abstract:

We introduce hexagonal global parameterization, a new type of surface parameterization

in which parameter lines respect six-fold 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.