Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
Connectivity on complete lattices: new results
Computer Vision and Image Understanding
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Partial Partitions, Partial Connections and Connective Segmentation
Journal of Mathematical Imaging and Vision
Partition-induced connections and operators for pattern analysis
Pattern Recognition
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Preventing chaining through transitions while favouring it within homogeneous regions
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
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Preventing chaining through transitions while favouring it within homogeneous regions
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
Adaptive Shape Diagrams for Multiscale Morphometrical Image Analysis
Journal of Mathematical Imaging and Vision
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Constrained connectivity relations partition the image definition domain into connected sets of maximal extent. The homogeneity and maximality of the resulting cells is subject to non-connective criteria that associate to logical predicates. The latter are based on attribute metrics, and are used to counter the leakage effect of the single-linkage clustering rule. Linkage is controlled by some dissimilarity measure and if unconstrained, may be used to generate regular connectivity classes. In this paper we introduce a hierarchical partition representation structure to map the evolution of components along the dissimilarity range in the absence of constraints. By contrast to earlier approaches, constraints may be put in place on the actual structure in the form of filters. This allows for custom and interactive segmentation of the image. Moreover, given an instance of the dissimilarity measure, one can retrieve all connected sets making up the corresponding connectivity class, directly from the hierarchy. The evolution of linkage relations with respect to the attributes on which the predicates are based on is used to compute a new type of pattern spectrum that is demonstrated on two real applications.