Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topographic distance and watershed lines
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
New Notions for Discrete Topology
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Advances in the Analysis of Topographic Features on Discrete Images
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
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The watershed transformation is a powerful tool for segmenting images, but its precise definition in discrete spaces raises difficult problems. We propose a new approach in the framework of orders. We introduce the tesselation by connection, which is a transformation that preserves the connectivity, andcan be implementedb y a parallel algorithm. We prove that this transformation possesses goodg eometrical properties. The extension of this transformation to weighted orders may be seen as a generalization of the watershed transformation.