On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces
dc.contributor.author | Hildebrandt, Klaus | en_US |
dc.contributor.author | Polthier, Konrad | en_US |
dc.contributor.editor | Mario Botsch and Scott Schaefer | en_US |
dc.date.accessioned | 2015-02-27T15:03:11Z | |
dc.date.available | 2015-02-27T15:03:11Z | |
dc.date.issued | 2011 | en_US |
dc.description.abstract | Discrete Laplace Beltrami operators on polyhedral surfaces play an important role for various applications in geometry processing and related areas like physical simulation or computer graphics. While discretizations of the weak Laplace Beltrami operator are well-studied, less is known about the strong form. We present a principle for constructing strongly consistent discrete Laplace Beltrami operators based on the cotan weights. The consistency order we obtain, improves previous results reported for the mesh Laplacian. Furthermore, we prove consistency of the discrete Willmore energies corresponding to the discrete Laplace Beltrami operators. | en_US |
dc.description.seriesinformation | Computer Graphics Forum | en_US |
dc.identifier.doi | 10.1111/j.1467-8659.2011.02025.x | en_US |
dc.identifier.issn | 1467-8659 | en_US |
dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.2011.02025.x | en_US |
dc.publisher | The Eurographics Association and Blackwell Publishing Ltd. | en_US |
dc.subject | I.3.5 [Computer Graphics] | en_US |
dc.subject | Computational Geometry and Object Modeling | en_US |
dc.subject | Geometric algorithms | en_US |
dc.subject | languages | en_US |
dc.subject | systems G.1.8 [Numerical Analysis] | en_US |
dc.subject | Partial Differential Equations | en_US |
dc.subject | Finite element methods | en_US |
dc.title | On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces | en_US |