Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods

dc.contributor.authorWeinkauf, T.en_US
dc.contributor.authorGuenther, D.en_US
dc.date.accessioned2015-02-23T15:43:34Z
dc.date.available2015-02-23T15:43:34Z
dc.date.issued2009en_US
dc.description.abstractSalient 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.number5en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01528.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1519-1528en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01528.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleSeparatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methodsen_US
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