ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Constrained Connectivity and Transition Regions
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
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
Morphological Connected Filtering on Viscous Lattices
Journal of Mathematical Imaging and Vision
Advances in constrained connectivity
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Adaptive morphological filtering using similarities based on geodesic time
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Ultrasound speckle reduction by a SUSAN-controlled anisotropic diffusion method
Pattern Recognition
On the Equivalence Between Hierarchical Segmentations and Ultrametric Watersheds
Journal of Mathematical Imaging and Vision
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Orders on partial partitions and maximal partitioning of sets
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal 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
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
Spatio-temporal quasi-flat zones for morphological video segmentation
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Component-hypertrees for image segmentation
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Hierarchical segmentation of multiresolution remote sensing images
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
Multiscale roughness measure for color image segmentation
Information Sciences: an International Journal
Climbing: a unified approach for global constraints on hierarchical segmentation
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part III
Fast quasi-flat zones filtering using area threshold and region merging
Journal of Visual Communication and Image Representation
Global-local optimizations by hierarchical cuts and climbing energies
Pattern Recognition
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
Journal of Mathematical Imaging and Vision
Adaptive Shape Diagrams for Multiscale Morphometrical Image Analysis
Journal of Mathematical Imaging and Vision
Component-Trees and Multivalued Images: Structural Properties
Journal of Mathematical Imaging and Vision
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This paper introduces an image decomposition and simplification method based on the constrained connectivity paradigm. According to this paradigm, two pixels are said to be connected if they comply to a series of constraints defined in terms of simple measures such as the maximum grey level differences over well-defined pixel paths and regions. The resulting connectivity relation generates a unique partition of the image definition domain. The simplification of the image is then achieved by setting each segment of the partition to the mean value of the pixels falling within this segment. Fine to coarse partition hierarchies (and therefore images of increasing degree of simplification) are produced by varying the threshold value associated with each connectivity constraint. The paper also includes a generalisation to multichannel images, applications, a review of related image segmentation techniques, and pseudo-code for an implementation based on queue and stack data structures.