Extraction of intensity connectedness for image processing
Pattern Recognition Letters
Graphical Models and Image Processing
Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
Connectivity on Complete Lattices
Journal of Mathematical Imaging and Vision
Connected morphological operators for binary images
Computer Vision and Image Understanding
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Connectedness in L-fuzzy topological spaces
Fuzzy Sets and Systems
Connectivity on complete lattices: new results
Computer Vision and Image Understanding
A multiscale approach to connectivity
Computer Vision and Image Understanding
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
IEEE Transactions on Image Processing
Geodesy and connectivity in lattices
Fundamenta Informaticae
A multiscale approach to connectivity
Computer Vision and Image Understanding
Object-Based Image Analysis Using Multiscale Connectivity
IEEE Transactions on Pattern Analysis and Machine Intelligence
Quasi-Linear Algorithms for the Topological Watershed
Journal of Mathematical Imaging and Vision
Multiscale Connected Operators
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute-space connectivity and connected filters
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Partial Partitions, Partial Connections and Connective Segmentation
Journal of Mathematical Imaging and Vision
The Strong Property of Morphological Connected Alternated Filters
Journal of Mathematical Imaging and Vision
A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision
An Axiomatic Approach to Hyperconnectivity
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Hyperconnectivity, Attribute-Space Connectivity and Path Openings: Theoretical Relationships
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Fast fuzzy connected filter implementation using max-tree updates
Fuzzy Sets and Systems
Fuzzifying images using fuzzy wavelet denoising
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A new fuzzy connectivity class application to structural recognition in images
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Adjacency stable connected operators and set levelings
Image and Vision Computing
Toward a new axiomatic for hyper-connections
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Mathematical morphology in computer graphics, scientific visualization and visual exploration
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
A constraint propagation approach to structural model based image segmentation and recognition
Information Sciences: an International Journal
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Connectivity is a concept of great relevance to image processing and analysis. It is extensively used in image filtering and segmentation, image compression and coding, motion analysis, pattern recognition, and other applications. In this paper, we provide a theoretical tour of connectivity, with emphasis on those concepts of connectivity that are relevant to image processing and analysis. We review several notions of connectivity, which include classical topological and graph-theoretic connectivity, fuzzy connectivity, and the theories of connectivity classes and of hyperconnectivity. It becomes clear in this paper that the theories of connectivity classes and of hyperconnectivity unify all relevant notions of connectivity, and provide a solid theoretical foundation for studying classical and fuzzy approaches to connectivity, as well as for constructing new examples of connectivity useful for image processing and analysis applications.