@Article{weinkauf09b,
  author    = {T.~Weinkauf and D.~Günther},
  title     = {Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods},
  journal   = {Computer Graphics Forum (Proc. SGP '09)},
  year      = {2009},
  volume    = {28},
  number    = {5},
  pages     = {1519--1528},
  month     = {July},
  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.},
  keywords  = {feature extraction, topology},
  url = {http://tinoweinkauf.net/publications/absweinkauf09b.html},
}