Introduction to algorithms
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
Efficiency of a Good But Not Linear Set Union Algorithm
Journal of the ACM (JACM)
A topologically consistent representation for image analysis: the Topological Graph of Frontiers
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Image Segmentation Using Local Variation
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Split-and-merge algorithms defined on topological maps for 3D image segmentation
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Computer Vision and Image Understanding
Efficient Graph-Based Image Segmentation
International Journal of Computer Vision
Comparison of local and global region merging in the topological map
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Region merging with topological control
Discrete Applied Mathematics
Top-Down Segmentation of Histological Images Using a Digital Deformable Model
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Digital deformable model simulating active contours
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Border operator for generalized maps
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Fully deformable 3D digital partition model with topological control
Pattern Recognition Letters
Polynomial algorithms for subisomorphism of nD open combinatorial maps
Computer Vision and Image Understanding
A generic and parallel algorithm for 2D digital curve polygonal approximation
Journal of Real-Time Image Processing
A distance measure between labeled combinatorial maps
Computer Vision and Image Understanding
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This paper presents the first segmentation operation defined within the 3D topological map framework. Firstly we show how a traditional segmentation algorithm, found in the literature, can be transposed on a 3D image represented by a topological map. We show the consistency of the results despite of the modifications made to the segmentation algorithm and we study the complexity of the operation. Lastly, we present some experimental results made on 3D medical images. These results show the process duration of this method and validate the interest to use 3D topological map in the context of image processing.