| Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods | Corresponding Publication | |
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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. | Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods Computer Graphics Forum (Proc. SGP '09) 28(5), July 2009 |
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