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Streamline-based quad meshing algorithms use smooth cross fields to partitionsurfaces into quadrilateral regions by tracing cross field separatrices. Inpractice, re-entrant corners and misalignment of singularities lead to smallregions and limit cycles, negating some of the benefits a quad layout canprovide in quad meshing. We introduce three novel methods to improve on apipeline for coarse quad partitioning. First, we formulate an efficient methodto compute high-quality cross fields on curved surfaces by extending thediffusion generated method from Viertel and Osting (SISC, 2019). Next, weintroduce a method for accurately computing the trajectory of streamlinesthrough singular triangles that prevents tangential crossings. Finally, weintroduce a robust method to produce coarse quad layouts by simplifying thepartitions obtained via naive separatrix tracing. Our methods are tested on adatabase of 100 objects and the results are analyzed. The algorithm performswell both in terms of efficiency and visual results on the database whencompared to state-of-the-art methods.

Coarse Quad Layouts Through Robust Simplification of Cross Field Separatrix Partitions