Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods
| dc.contributor.author | Weinkauf, T. | en_US |
| dc.contributor.author | Guenther, D. | en_US |
| dc.date.accessioned | 2015-02-23T15:43:34Z | |
| dc.date.available | 2015-02-23T15:43:34Z | |
| dc.date.issued | 2009 | en_US |
| dc.description.abstract | Salient edges are perceptually prominent features of a surface. Most previous extraction schemes utilize the notion of ridges and valleys for their detection, thereby requiring curvature derivatives which are rather sensitive to noise. We introduce a novel method for salient edge extraction which does not depend on curvature derivatives. It is based on a topological analysis of the principal curvatures and salient edges of the surface are identified as parts of separatrices of the topological skeleton. Previous topological approaches obtain results including non-salient edges due to inherent properties of the underlying algorithms. We extend the profound theory by introducing the novel concept of separatrix persistence, which is a smooth measure along a separatrix and allows to keep its most salient parts only. We compare our results with other methods for salient edge extraction. | en_US |
| dc.description.number | 5 | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 28 | en_US |
| dc.identifier.doi | 10.1111/j.1467-8659.2009.01528.x | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.pages | 1519-1528 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.2009.01528.x | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing Ltd | en_US |
| dc.title | Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods | en_US |