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

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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
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.
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@article{
10.1111:j.1467-8659.2009.01528.x
, journal = {Computer Graphics Forum}, title = {{
Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods
}}, author = {
Weinkauf, T.
and
Guenther, D.
}, year = {
2009
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2009.01528.x
} }
Citation