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Eurographics Symposium on Geometry Processing 2009 Marc Alexa and Michael Kazhdan

Summary: Eurographics Symposium on Geometry Processing 2009
Marc Alexa and Michael Kazhdan
(Guest Editors)
Volume 28 (2009), Number 5
Separatrix Persistence: Extraction of Salient Edges
on Surfaces Using Topological Methods
T. Weinkauf1,2
and D. Günther1
1Zuse Institute Berlin, Germany
2Courant Institute of Mathematical Sciences, New York University, U.S.A.
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.
Categories and Subject Descriptors (according to ACM CCS): G.2.3 [Mathematics of Computing]: Discrete


Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin


Collections: Computer Technologies and Information Sciences