Curvature Aware Fundamental Cycles
| dc.contributor.author | Diaz-Gutierrez, P. | en_US |
| dc.contributor.author | Eppstein, D. | en_US |
| dc.contributor.author | Gopi, M. | en_US |
| dc.date.accessioned | 2015-02-23T16:09:18Z | |
| dc.date.available | 2015-02-23T16:09:18Z | |
| dc.date.issued | 2009 | en_US |
| dc.description.abstract | We present a graph algorithm to find fundamental cycles aligned with the principal curvature directions of a surface. Specifically, we use the tree-cotree decomposition of graphs embedded in manifolds, guided with edge weights, in order to produce these cycles. Our algorithm is very quick compared to existing methods, with a worst case running time of O(n log n+gn) where n is the number of faces and g is the surface genus. Further, its flexibility to accommodate different weighting functions and to handle boundaries may be used to produce cycles suitable for a variety of applications and models. | en_US |
| dc.description.number | 7 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 28 | en_US |
| dc.identifier.doi | 10.1111/j.1467-8659.2009.01580.x | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 2015-2024 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.2009.01580.x | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing Ltd | en_US |
| dc.title | Curvature Aware Fundamental Cycles | en_US |