Topological segmentation of discrete surfaces
International Journal of Computer Vision
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
Journal of Mathematical Imaging and Vision - Special issue on mathematical imaging
Spatial models for fuzzy clustering
Computer Vision and Image Understanding
Detecting critical regions in scalar fields
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Medical Image Processing, Analysis & Visualization in Clinical Research
CBMS '01 Proceedings of the Fourteenth IEEE Symposium on Computer-Based Medical Systems
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Integrating digital topology in image-processing libraries
Computer Methods and Programs in Biomedicine
Digital homeomorphisms in deformable registration
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Topology correction using fast marching methods and its application to brain segmentation
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Topology preserving tissue classification with fast marching and topology templates
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Encephalic NMR image analysis by textural interpretation
Proceedings of the 2008 ACM symposium on Applied computing
Encephalic NMR Tumor Diversification by Textural Interpretation
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
Topology noise removal for curve and surface evolution
MCV'10 Proceedings of the 2010 international MICCAI conference on Medical computer vision: recognition techniques and applications in medical imaging
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
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We present here a new method for correcting the topology of objects segmented from medical images. Whereas previous techniques alter a surface obtained from a binary segmentation of the object, our technique can be applied directly to the image intensities of a probabilistic or fuzzy segmentation, thereby propagating the topology for all isosurfaces of the object. From an analysis of topological changes and critical points in implicit surfaces, we derive a topology propagation algorithm that enforces any desired topology using a fast marching technique. The method has been applied successfully to the correction of the cortical gray matter/white matter interface in segmented brain images and is publicly released as a software plug-in for the MIPAV package.