Morphological Scale-Space Representation with Levelings
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
On Genuine Connectivity Relations Based on Logical Predicates
ICIAP '07 Proceedings of the 14th International Conference on Image Analysis and Processing
Constrained Connectivity for Hierarchical Image Decomposition and Simplification
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constrained Connectivity and Transition Regions
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Constrained connectivity for the processing of very-high-resolution satellite images
International Journal of Remote Sensing - Spatial Information Retrieval, Analysis, Reasoning and Modelling
Iterative Ramp Sharpening for Structure/Signature-Preserving Simplification of Images
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Pattern spectra from partition pyramids and hierarchies
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Frequent and dependent connectivities
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Pattern spectra from partition pyramids and hierarchies
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Frequent and dependent connectivities
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Local Mutual Information for Dissimilarity-Based Image Segmentation
Journal of Mathematical Imaging and Vision
Conditional Toggle Mappings: Principles and Applications
Journal of Mathematical Imaging and Vision
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By its very nature, alpha-connectivity is subject to the chaining property of single linkage clustering. Thanks to the selection of appropriate connectivity constraints, connected components that are affected by the chaining through transitions can be invalidated. However, it may happen that (i) a stream of small connected components at the transition between larger components are created and (ii) none of the connected components is matching a desired object whatever the threshold levels associated with the constraints. These two problems are caused by the presence of transitions. In this paper, we characterise transitions in view of their impact on constrained connected paths. We then show that both problems can be addressed simultaneously by either pre-filtering or by introducing a dissimilarity measurement preventing connections through transitions while keeping a definition based on absolute difference measurements.