Name
Abstract | ||
|---|---|---|
AbstractWe propose a framework for the spectral processing of tangential vector fields on surfaces. The basis is a Fourier-type representation of tangential vector fields that associates frequencies with tangential vector fields. To implement the representation for piecewise constant tangential vector fields on triangle meshes, we introduce a discrete Hodge-Laplace operator that fits conceptually to the prominent cotan discretization of the Laplace-Beltrami operator. Based on the Fourier representation, we introduce schemes for spectral analysis, filtering and compression of tangential vector fields. Moreover, we introduce a spline-type editor for modelling of tangential vector fields with interpolation constraints for the field itself and its divergence and curl. Using the spectral representation, we propose a numerical scheme that allows for real-time modelling of tangential vector fields. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1111/cgf.12942 | Periodicals |
Keywords | Field | DocType |
tangential vector fields,discrete Hodge-aplace,spectral geometry processing,Hodge decomposition,fur editing,vector field design | Mathematical analysis,Artificial intelligence,Vector potential,Computer vision,Topology,Vector field,Tangential and normal components,Solenoidal vector field,Fundamental vector field,Complex lamellar vector field,Curl (mathematics),Vector operator,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 6 | 0167-7055 |
Citations | PageRank | References |
3 | 0.37 | 44 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christopher Brandt | 1 | 11 | 3.85 |
| Leonardo Scandolo | 2 | 12 | 4.71 |
| Elmar Eisemann | 3 | 35 | 6.55 |
| Klaus Hildebrandt | 4 | 466 | 24.77 |