A general approach to connected-component labeling for arbitrary image representations
Journal of the ACM (JACM)
Scale-Space Properties of the Multiscale Morphological Dilation-Erosion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two linear time Union-Find strategies for image processing
Theoretical Computer Science
Scale-Space From Nonlinear Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiscale Nonlinear Decomposition: The Sieve Decomposition Theorem
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Connected morphological operators for binary images
Computer Vision and Image Understanding
Efficiency of a Good But Not Linear Set Union Algorithm
Journal of the ACM (JACM)
Granulometries and opening trees
Fundamenta Informaticae - Special issue on mathematical morphology
Concurrent determination of connected components
Science of Computer Programming
Nonlinear Scale-Space from n-Dimensional Sieves
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Shape Preserving Filament Enhancement Filtering
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Salembier's Min-tree algorithm turned into breadth first search
Information Processing Letters
Quasi-Linear Algorithms for the Topological Watershed
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient complete and incomplete path openings and closings
Image and Vision Computing
Attribute-space connectivity and connected filters
Image and Vision Computing
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
EURASIP Journal on Applied Signal Processing
Pattern Recognition Letters
An evaluation of area morphology scale-spaces for colour images
Computer Vision and Image Understanding
Object delineation by κ-connected components
EURASIP Journal on Advances in Signal Processing
A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision
Surface-Area-Based Attribute Filtering in 3D
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
A Comparison of Spatial Pattern Spectra
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Fast Implementation of the Ultimate Opening
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
Beyond self-duality in morphological image analysis
Image and Vision Computing
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
Image processing using 3-state cellular automata
Computer Vision and Image Understanding
Towards artistic minimal rendering
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Partition-induced connections and operators for pattern analysis
Pattern Recognition
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part II
An efficient algorithm for connected attribute thinnings and thickenings
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Description of digital images by region-based contour trees
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Artistic minimal rendering with lines and blocks
Graphical Models
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The implementation of morphological connected set operators for image filtering and pattern recognition is discussed. Two earlier algorithms based on priority queues and hierarchical queues, respectively, are compared to a more recent union-find approach. Unlike the earlier algorithms which process regional extrema in the image sequentially, the union-find method allows simultaneous processing of extrema. In the context of area openings, closings, and pattern spectra, the union-find algorithm outperforms the previous methods on almost all natural and synthetic images tested. Finally, extensions to pattern spectra and the more general class of attribute operators are presented for all three algorithms, and memory usages are compared.