Discrete Willmore Flow
| dc.contributor.author | Bobenko, Alexander I. | en_US |
| dc.contributor.author | Schröder, Peter | en_US |
| dc.contributor.editor | Mathieu Desbrun and Helmut Pottmann | en_US |
| dc.date.accessioned | 2014-01-29T09:31:08Z | |
| dc.date.available | 2014-01-29T09:31:08Z | |
| dc.date.issued | 2005 | en_US |
| dc.description.abstract | The Willmore energy of a surface, R(H2 -K)dA, as a function of mean and Gaussian curvature, captures the deviation of a surface from (local) sphericity. As such this energy and its associated gradient flow play an important role in digital geometry processing, geometric modeling, and physical simulation. In this paper we consider a discrete Willmore energy and its flow. In contrast to traditional approaches it is not based on a finite element discretization, but rather on an ab initio discrete formulation which preserves the Möbius symmetries of the underlying continuous theory in the discrete setting. We derive the relevant gradient expressions including a linearization (approximation of the Hessian), which are required for non-linear numerical solvers. As examples we demonstrate the utility of our approach for surface restoration, n-sided hole filling, and non-shrinking surface smoothing. | en_US |
| dc.description.seriesinformation | Eurographics Symposium on Geometry Processing 2005 | en_US |
| dc.identifier.isbn | 3-905673-24-X | en_US |
| dc.identifier.issn | 1727-8384 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/SGP/SGP05/101-110 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Categories and Subject Descriptors (according to ACM CCS): G.1.8 [Numerical Analysis]: Partial Differential Equations; I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling; I.6.8 [Simulation and Modeling]: | en_US |
| dc.title | Discrete Willmore Flow | en_US |
Files
Original bundle
1 - 1 of 1