Introduction to mathematical morphology
Computer Vision, Graphics, and Image Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Morphological multiscale segmentation for image coding
Proceedings of of the IEEE winter workshop on Nonlinear digital signal processing
Self-dual morphological operators and filters
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
Fundamenta morphologicae mathematicae
Fundamenta Informaticae - Special issue on mathematical morphology
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Morphological Grain Operators for Binary Images
CAIP '97 Proceedings of the 7th International Conference on Computer Analysis of Images and Patterns
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Morphological operators for image and video compression
IEEE Transactions on Image Processing
Affine plane curve evolution: a fully consistent scheme
IEEE Transactions on Image Processing
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Fast computation of a contrast-invariant image representation
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Journal of Mathematical Imaging and Vision
Adjacency lattices and shape-tree semilattices
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Preferential image segmentation using trees of shapes
IEEE Transactions on Image Processing
A general framework for tree-based morphology and its applications to self-dual filtering
Image and Vision Computing
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
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Motivated by operators simplifying the topographic map of a function, we study the theoretical properties of two kinds of “grain” filters. The first category, discovered by L. Vincent, defines grains as connected components of level sets and removes those of small area. This category is composed of two filters, the maxima filter and the minima filter. However, they do not commute. The second kind of filter, introduced by Masnou, works on “shapes”, which are based on connected components of level sets. This filter has the additional property that it acts in the same manner on upper and lower level sets, that is, it commutes with an inversion of contrast. We discuss the relations of Masnou's filter with other classes of connected operators introduced in the literature. We display some experiments to show the main properties of the filters discussed above and compare them.