Morphological methods in image and signal processing
Morphological methods in image and signal processing
Morphological connected filters and intra-region smoothing for image segmentation
Morphological connected filters and intra-region smoothing for image segmentation
Theoretical aspects of morphological filters by reconstruction
Signal Processing
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Locality and Adjacency Stability Constraints for MorphologicalConnected Operators
Journal of Mathematical Imaging and Vision
Extensive operators in partition lattices for image sequence analysis
Signal Processing - Video segmentation for content-based processing manipulation
Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
From connected operators to levelings
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Connectivity on Complete Lattices
Journal of Mathematical Imaging and Vision
Connected morphological operators for binary images
Computer Vision and Image Understanding
Connected filtering and segmentation using component trees
Computer Vision and Image Understanding
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Algebraic and PDE Approaches for Lattice Scale-Spaces with Global Constraints
International Journal of Computer Vision
On the Strong Property of Connected Open-Close and Close-Open Filters
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
A multiscale approach to connectivity
Computer Vision and Image Understanding
A Theoretical Tour of Connectivity in Image Processing and Analysis
Journal of Mathematical Imaging and Vision
Levelings, Image Simplification Filters for Segmentation
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Multiscale Connected Operators
Journal of Mathematical Imaging and Vision
Geodesy and connectivity in lattices
Fundamenta Informaticae
The Strong Property of Morphological Connected Alternated Filters
Journal of Mathematical Imaging and Vision
Beyond self-duality in morphological image analysis
Image and Vision Computing
IEEE Transactions on Image Processing
Morphological grayscale reconstruction in image analysis: applications and efficient algorithms
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Hyperconnections and openings on complete lattices
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
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This paper studies morphological connected operators. Particularly, it focuses on an adjacency constraint, as well as on the so-called set levelings. Some important findings are reported in this work. First, the relationships between the so-called adjacency stable operators and set levelings are investigated, and an equivalence is established. This permits to apply some properties to the related operator class. Second, the implications and limits of a property presented elsewhere that states that certain connected operators can be expressed as a sequential composition of an opening and a closing (and vice-versa) based on markers are treated. Then, a commutative property that involves alternated attribute filters is presented. In addition, other related expressions are discussed.