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Robust and efficient bijective parameterization

: Hafner, Morris
: Kuijper, Arjan; Limper, Max

Darmstadt, 2017, 37 S.
Darmstadt, TU, Bachelor Thesis, 2017
Bachelor Thesis
Fraunhofer IGD ()
parameterization; meshes; Guiding Theme: Visual Computing as a Service; Research Area: Computer graphics (CG)

The goal of this thesis was to create a novel algorithm for bijective parameterizations of 3D triangle meshes with disk topology. Existing methods are either fast, but create non-bijective parameterizations, or are too slow to be applied to bigger meshes like high-resolution 3D scans or video game levels. We show an approach to transform an arbitrary, potentially non-bijective parameterization into a bijective mapping. The results show that the new algorithm produces results that are at least competitive with existing bijective parameterizers and still has room for future improvements.