Sub-Voxel Topology Control for Level-Set Surfaces

dc.contributor.authorBischoff, Stephanen_US
dc.contributor.authorKobbelt, Leifen_US
dc.date.accessioned2015-02-16T08:01:44Z
dc.date.available2015-02-16T08:01:44Z
dc.date.issued2003en_US
dc.description.abstractActive contour models are an efficient, accurate, and robust tool for the segmentation of 2D and 3D image data.In particular, geometric deformable models (GDM) that represent an active contour as the level set of an implicitfunction have proven to be very effective. GDMs, however, do not provide any topology control, i.e. contours maymerge or split arbitrarily and hence change the genus of the reconstructed surface. This behavior is inadequate insettings like the segmentation of organic tissue or other objects whose genus is known beforehand. In this paperwe describe a novel method to overcome this limitation while still preserving the favorable properties of the GDMsetup. We achieve this by adding (sparse) topological information to the volume representation at locations whereit is necessary to locally resolve topological ambiguities. Since the sparse topology information is attached to theedges of the voxel grid, we can reconstruct the interfaces where the deformable surface touches itself at sub-voxelaccuracy. We also demonstrate the efficiency and robustness of our method.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume22en_US
dc.identifier.doi10.1111/1467-8659.00674en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages273-280en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00674en_US
dc.publisherBlackwell Publishers, Inc and the Eurographics Associationen_US
dc.titleSub-Voxel Topology Control for Level-Set Surfacesen_US
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