Theoretical Aspects of Gray-Level Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-dual morphological operators and filters
Journal of Mathematical Imaging and Vision
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
Connected morphological operators for binary images
Computer Vision and Image Understanding
Mathematical morphology on complete semilattices and its applications to image processing
Fundamenta Informaticae - Special issue on mathematical morphology
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Inf-Semilattice Approach to Self-Dual Morphology
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Fast computation of a contrast-invariant image representation
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Adjacency lattices and shape-tree semilattices
Image and Vision Computing
A general framework for tree-based morphology and its applications to self-dual filtering
Image and Vision Computing
Permutation-based finite implicative fuzzy associative memories
Information Sciences: an International Journal
Self-dual attribute profiles for the analysis of remote sensing images
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
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A new, self-dual approach for morphological image processing, based on a semilattice framework, is introduced. The related morphological erosion, in particular, shrinks all 'objects` in an image, regardless to whether they are bright or dark.The theory is first developed for the binary case, where it is closely related to the adjacency tree. Under certain constraints, it is shown to yield a lattice structure, which is complete for discrete images. It is then generalized to grayscale functions thanks to the tree of shapes, a recently introduced generalization of adjacency trees.