Computing discrete shape operators on general meshes

dc.contributor.authorGrinspun, Eitanen_US
dc.contributor.authorGingold, Yotamen_US
dc.contributor.authorReisman, Jasonen_US
dc.contributor.authorZorin, Denisen_US
dc.date.accessioned2015-02-21T14:31:57Z
dc.date.available2015-02-21T14:31:57Z
dc.date.issued2006en_US
dc.description.abstractDiscrete curvature and shape operators, which capture complete information about directional curvatures at a point, are essential in a variety of applications: simulation of deformable two-dimensional objects, variational modeling and geometric data processing. In many of these applications, objects are represented by meshes. Currently, a spectrum of approaches for formulating curvature operators for meshes exists, ranging from highly accurate but computationally expensive methods used in engineering applications to efficient but less accurate techniques popular in simulation for computer graphics.We propose a simple and efficient formulation for the shape operator for variational problems on general meshes, using degrees of freedom associated with normals. On the one hand, it is similar in its simplicity to some of the discrete curvature operators commonly used in graphics; on the other hand, it passes a number of important convergence tests and produces consistent results for different types of meshes and mesh refinement.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume25en_US
dc.identifier.doi10.1111/j.1467-8659.2006.00974.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages547-556en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2006.00974.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing, Incen_US
dc.titleComputing discrete shape operators on general meshesen_US
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