Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
Topological Map Based Algorithms for 3D Image Segmentation
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Multidimensional cell lists for investigating 3-manifolds
Discrete Applied Mathematics
Comparison and convergence of two topological models for 3D image segmentation
GbRPR'03 Proceedings of the 4th IAPR international conference on Graph based representations in pattern recognition
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
3D Topological Map Extraction from Oriented Boundary Graph
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
An unbiased and intervoxel watershed algorithm for 3d image segmentation
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
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In this paper, we present a new representation model for the topology and the geometry of a 3D segmented image. This model has been designed to provide main features and operations required by a 3D image segmentation library. It is mainly devoted to region based segmentation methods such as split and merge algorithms but is also convenient for contour based approaches. The model has been fully implemented and tested both on synthetic and real 3D images.