Morphological connected filters and intra-region smoothing for image segmentation
Morphological connected filters and intra-region smoothing for image segmentation
Locality and Adjacency Stability Constraints for MorphologicalConnected Operators
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
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
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Levelings, Image Simplification Filters for Segmentation
Journal of Mathematical Imaging and Vision
The Strong Property of Morphological Connected Alternated Filters
Journal of Mathematical Imaging and Vision
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
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This paper investigates some geodesic implementations that have appeared in the literature and that lead to connected operators. The focus is on two so-called self-dual geodesic transformations. Some fundamental aspects of these transformations are analyzed, such as whether they are actually levelings, and whether they can treat each grain or pore independently from the rest (connected-component locality). As will be shown, one of the geodesic self-dual reconstructions studied appears to be not a leveling. Nevertheless, it possesses a distinctive characteristic: it can process grains and pores in a connected-component local manner. The analysis is performed in the set or binary framework, although results and conclusions extend to (flat) gray-level operators.