Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Threshold Superposition in Morphological Image Analysis Systems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recursive Implementation of Erosions and Dilations Along Discrete Lines at Arbitrary Angles
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute openings, thinnings, and granulometries
Computer Vision and Image Understanding
Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
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
Shape Connectivity: Multiscale Analysis and Application to Generalized Granulometries
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
A Comparison of Algorithms for Connected Set Openings and Closings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Preserving Filament Enhancement Filtering
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Connectivity on complete lattices: new results
Computer Vision and Image Understanding
A Theoretical Tour of Connectivity in Image Processing and Analysis
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Attribute-space connectivity and connected filters
Image and Vision Computing
Composing morphological filters
IEEE Transactions on Image Processing
Antiextensive connected operators for image and sequence processing
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Comparison of texture features based on Gabor filters
IEEE Transactions on Image Processing
Grayscale level connectivity: theory and applications
IEEE Transactions on Image Processing
Flat zones filtering, connected operators, and filters by reconstruction
IEEE Transactions on Image Processing
A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision
Some Morphological Operators in Graph Spaces
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Segmentation of Complex Images Based on Component-Trees: Methodological Tools
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
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
Morphological Connected Filtering on Viscous Lattices
Journal of Mathematical Imaging and Vision
Overview of adaptive morphology: trends and perspectives
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Robust extraction of urinary stones from CT data using attribute filters
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Partition-induced connections and operators for pattern analysis
Pattern Recognition
Efficient computation of new extinction values from extended component tree
Pattern Recognition Letters
Attribute-filtering and knowledge extraction for vessel segmentation
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Selection of relevant nodes from component-trees in linear time
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Interactive segmentation based on component-trees
Pattern Recognition
Pattern spectra from partition pyramids and hierarchies
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Component-hypertrees for image segmentation
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Filament enhancement by non-linear volumetric filtering using clustering-based connectivity
IWICPAS'06 Proceedings of the 2006 Advances in Machine Vision, Image Processing, and Pattern Analysis international conference on Intelligent Computing in Pattern Analysis/Synthesis
Morphological filtering on graphs
Computer Vision and Image Understanding
Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter
Journal of Mathematical Imaging and Vision
Component-Trees and Multivalued Images: Structural Properties
Journal of Mathematical Imaging and Vision
Hi-index | 0.14 |
Connected filters are edge-preserving morphological operators, which rely on a notion of connectivity. This is usually the standard 4 and 8-connectivity, which is often too rigid since it cannot model generalized groupings such as object clusters or partitions. In the set-theoretical framework of connectivity, these groupings are modeled by the more general second-generation connectivity. In this paper, we present both an extension of this theory, and provide an efficient algorithm based on the Max-Tree to compute attribute filters based on these connectivities. We first look into the drawbacks of the existing framework that separates clustering and partitioning and is directly dependent on the properties of a preselected operator. We then propose a new type of second-generation connectivity termed mask-based connectivity which eliminates all previous dependencies and extends the ways the image domain can be connected. A previously developed Dual-Input Max-Tree algorithm for area openings is adapted for the wider class of attribute filters on images characterized by second-generation connectivity. CPU-times for the new algorithm are comparable to the original algorithm, typically deviating less than 10 percent either way.