Smooth Interpolation of Curve Networks with Surface Normals

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dc.contributor.authorStanko, Tiboren_US
dc.contributor.authorHahmann, Stefanieen_US
dc.contributor.authorBonneau, Georges-Pierreen_US
dc.contributor.authorSaguin-Sprynski, Nathalieen_US
dc.contributor.editorT. Bashford-Rogers and L. P. Santosen_US
dc.date.accessioned2016-04-26T07:56:08Z
dc.date.available2016-04-26T07:56:08Z
dc.date.issued2016en_US
dc.description.abstractRecent surface acquisition technologies based on microsensors produce three-space tangential curve data which can be transformed into a network of space curves with surface normals. This paper addresses the problem of surfacing an arbitrary closed 3D curve network with given surface normals. Thanks to the normal vector input, the patch finding problem can be solved unambiguously and an initial piecewise smooth triangle mesh is computed. The input normals are propagated throughout the mesh and used to compute mean curvature vectors. We then introduce a new variational optimization method in which the standard bi-Laplacian is penalized by a term based on the mean curvature vectors. The intuition behind this original approach is to guide the standard Laplacian-based variational methods by the curvature information extracted from the input normals. The normal input increases shape fidelity and allows to achieve globally smooth and visually pleasing shapes.en_US
dc.description.sectionheadersModellingen_US
dc.description.seriesinformationEG 2016 - Short Papersen_US
dc.identifier.doi10.2312/egsh.20161005en_US
dc.identifier.issn1017-4656en_US
dc.identifier.pages21-24en_US
dc.identifier.urihttps://doi.org/10.2312/egsh.20161005en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectGeometric algorithmsen_US
dc.subjectlanguagesen_US
dc.subjectand systemsen_US
dc.titleSmooth Interpolation of Curve Networks with Surface Normalsen_US
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