Fitting Sharp Features with Loop Subdivision Surfaces

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dc.contributor.authorLing, Ruotianen_US
dc.contributor.authorWang, Wenpingen_US
dc.contributor.authorYan, Dongmingen_US
dc.date.accessioned2015-02-21T17:32:28Z
dc.date.available2015-02-21T17:32:28Z
dc.date.issued2008en_US
dc.description.abstractVarious methods have been proposed for fitting subdivision surfaces to different forms of shape data (e.g., dense meshes or point clouds), but none of these methods effectively deals with shapes with sharp features, that is, creases, darts and corners. We present an effective method for fitting a Loop subdivision surface to a dense triangle mesh with sharp features. Our contribution is a new exact evaluation scheme for the Loop subdivision with all types of sharp features, which enables us to compute a fitting Loop subdivision surface for shapes with sharp features in an optimization framework. With an initial control mesh obtained from simplifying the input dense mesh using QEM, our fitting algorithm employs an iterative method to solve a nonlinear least squares problem based on the squared distances from the input mesh vertices to the fitting subdivision surface. This optimization framework depends critically on the ability to express these distances as quadratic functions of control mesh vertices using our exact evaluation scheme near sharp features. Experimental results are presented to demonstrate the effectiveness of the method.en_US
dc.description.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01278.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1383-1391en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01278.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleFitting Sharp Features with Loop Subdivision Surfacesen_US
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27-Issue 5
SGP08: Eurographics Symposium on Geometry Processing