Piecewise Smooth Reconstruction of Normal Vector Field on Digital Data

dc.contributor.authorCoeurjolly, Daviden_US
dc.contributor.authorFoare, Marionen_US
dc.contributor.authorGueth, Pierreen_US
dc.contributor.authorLachaud, Jacques-Olivieren_US
dc.contributor.editorEitan Grinspun and Bernd Bickel and Yoshinori Dobashien_US
dc.date.accessioned2016-10-11T05:19:12Z
dc.date.available2016-10-11T05:19:12Z
dc.date.issued2016
dc.description.abstractWe propose a novel method to regularize a normal vector field defined on a digital surface (boundary of a set of voxels). When the digital surface is a digitization of a piecewise smooth manifold, our method localizes sharp features (edges) while regularizing the input normal vector field at the same time. It relies on the optimisation of a variant of the Ambrosio-Tortorelli functional, originally defined for denoising and contour extraction in image processing [AT90]. We reformulate this functional to digital surface processing thanks to discrete calculus operators. Experiments show that the output normal field is very robust to digitization artifacts or noise, and also fairly independent of the sampling resolution. The method allows the user to choose independently the amount of smoothing and the length of the set of discontinuities. Sharp and vanishing features are correctly delineated even on extremely damaged data. Finally, our method can be used to enhance considerably the output of state-ofthe- art normal field estimators like Voronoi Covariance Measure [MOG11] or Randomized Hough Transform [BM12].en_US
dc.description.number7
dc.description.sectionheadersReconstruction
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume35
dc.identifier.doi10.1111/cgf.13013
dc.identifier.issn1467-8659
dc.identifier.pages157-167
dc.identifier.urihttps://doi.org/10.1111/cgf.13013
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13013
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subject[Computer Graphics]
dc.subjectModeling
dc.subjectDigital Geometry Processing
dc.subjectModeling
dc.subjectShape Analysis
dc.titlePiecewise Smooth Reconstruction of Normal Vector Field on Digital Dataen_US
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