Designing Quadrangulations with Discrete Harmonic Forms

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dc.contributor.authorTong, Y.en_US
dc.contributor.authorAlliez, P.en_US
dc.contributor.authorCohen-Steiner, D.en_US
dc.contributor.authorDesbrun, M.en_US
dc.contributor.editorAlla Sheffer and Konrad Polthieren_US
dc.date.accessioned2014-01-29T08:14:05Z
dc.date.available2014-01-29T08:14:05Z
dc.date.issued2006en_US
dc.description.abstractWe introduce a framework for quadrangle meshing of discrete manifolds. Based on discrete differential forms, our method hinges on extending the discrete Laplacian operator (used extensively in modeling and animation) to allow for line singularities and singularities with fractional indices. When assembled into a singularity graph, these line singularities are shown to considerably increase the design flexibility of quad meshing. In particular, control over edge alignments and mesh sizing are unique features of our novel approach. Another appeal of our method is its robustness and scalability from a numerical viewpoint: we simply solve a sparse linear system to generate a pair of piecewise-smooth scalar fields whose isocontours form a pure quadrangle tiling, with no T-junctions.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP06/201-210en_US
dc.publisherThe Eurographics Associationen_US
dc.titleDesigning Quadrangulations with Discrete Harmonic Formsen_US
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SGP06: Eurographics Symposium on Geometry Processing