Biological Cybernetics
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unsupervised Texture Segmentation Using Markov Random Field Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
Morphologically Constrained GRFs: Applications to Texture Synthesis and Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Connected morphological operators for binary images
Computer Vision and Image Understanding
Granulometries and opening trees
Fundamenta Informaticae - Special issue on mathematical morphology
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
Object-Based Image Analysis Using Multiscale Connectivity
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constructing multiscale connectivities
Computer Vision and Image Understanding
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
Attribute-space connectivity and connected filters
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Learning and modeling biosignatures from tissue images
Computers in Biology and Medicine
An Efficient Algorithm for Computing Multi-scale Connectivity Measures
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Constructing multiscale connectivities
Computer Vision and Image Understanding
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Morphological Connected Filtering on Viscous Lattices
Journal of Mathematical Imaging and Vision
Efficient computation of new extinction values from extended component tree
Pattern Recognition Letters
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Comparative study of moment based parameterization for morphological texture description
Journal of Visual Communication and Image Representation
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This paper develops a multiscale connectivity theory for shapes based on the axiomatic definition of new generalized connectivity measures, which are obtained using morphology-based nonlinear scale-space operators. The concept of connectivity-tree for hierarchical image representation is introduced and used to define generalized connected morphological operators. This theoretical framework is then applied to establish a class of generalized granulometries, implemented at a particular problem concerning soilsection image analysis and evaluation of morphological properties such as size distributions. Comparative results demonstrate the power and versatility of the proposed methodology with respect to the application of typical connected operators (such as reconstruction openings). This multiscale connectivity analysis framework aims at a more reliable evaluation of shape/size information within complex images, with particular applications to generalized granulometries, connected operators, and segmentation.