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
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A topology preserving level set method for geometric deformable models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topology correction of segmented medical images using a fast marching algorithm
Computer Methods and Programs in Biomedicine
Topological Repairing of 3D Digital Images
Journal of Mathematical Imaging and Vision
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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 the hard segmentation of the object, our technique works directly in the image domain, propagating the topology for all isosurfaces of the object. From an analysis of topological changes and critical points in implicit surfaces, we introduce a topology progagation algorithm that enforces any desired topology using a fast marching technique. Compared to previous topology correction techniques, the method successfully corrects topology while effecting fewer changes to the original volume.