Tracing Field-Coherent Quad Layouts

Pietroni N., Puppo E., Marcias G., Scopigno R., Cignoni P.

Mesh parametrization  Computer Graphics and Computer-Aided Design  Quadrangulation 

Given a cross field over a triangulated surface we present a practical and robust method to compute a field aligned coarse quad layout over the surface. The method works directly on a triangle mesh without requiring any parametrization and it is based on a new technique for tracing field-coherent geodesic paths directly on a triangle mesh, and on a new relaxed formulation of a binary LP problem, which allows us to extract both conforming quad layouts and coarser layouts containing t-junctions. Our method is easy to implement, very robust, and, being directly based on the input cross field, it is able to generate better aligned layouts, even with complicated fields containing many singularities. We show results on a number of datasets and comparisons with state-of-the-art methods.

Source: Computer graphics forum (Print) 35 (2016): 485–496. doi:10.1111/cgf.13045

Publisher: Basil Blackwell Publishers, Oxford , Paesi Bassi

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