International Journal of Computer Vision

, Volume 79, Issue 2, pp 107–117

Active Contours Under Topology Control—Genus Preserving Level Sets

Authors

    • Willow, Certis LaboratoryENS/INRIA/ENPC
Article

DOI: 10.1007/s11263-007-0102-8

Cite this article as:
Ségonne, F. Int J Comput Vis (2008) 79: 107. doi:10.1007/s11263-007-0102-8
  • 169 Views

Abstract

We present a novel framework to exert topology control over a level set evolution. Level set methods offer several advantages over parametric active contours, in particular automated topological changes. In some applications, where some a priori knowledge of the target topology is available, topological changes may not be desirable. This is typically the case in biomedical image segmentation, where the topology of the target shape is prescribed by anatomical knowledge. However, topologically constrained evolutions often generate topological barriers that lead to large geometric inconsistencies. We introduce a topologically controlled level set framework that greatly alleviates this problem. Unlike existing work, our method allows connected components to merge, split or vanish under some specific conditions that ensure that the genus of the initial active contour (i.e. its number of handles) is preserved. We demonstrate the strength of our method on a wide range of numerical experiments and illustrate its performance on the segmentation of cortical surfaces and blood vessels.

Keywords

Geometric deformable modelGenus preservationTopology controlTopological constraintLevel set methodDigital topologyActive contoursSimple points
Download to read the full article text

Supplementary material

11263_2007_102_MOESM1_ESM.mpeg (1.2 mb)
Video Object
11263_2007_102_MOESM2_ESM.mpeg (2.3 mb)
Video Object
11263_2007_102_MOESM4_ESM.mpeg (4.8 mb)
Video Object

Copyright information

© Springer Science+Business Media, LLC 2007