Tracing Field-Coherent Quad Layouts

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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
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.
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@article{
10.1111:cgf.13045
, journal = {Computer Graphics Forum}, title = {{
Tracing Field-Coherent Quad Layouts
}}, author = {
Pietroni, Nico
and
Puppo, Enrico
and
Marcias, Giorgio
and
Scopigno, Roberto
and
Cignoni, Paolo
}, year = {
2016
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.13045
} }
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