Scale-Space From Nonlinear Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Comparison of morphological pyramids for multiresolution MIP volume rendering
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Isophotes Selection and Reaction-Diffusion Model for Object Boundaries Estimation
International Journal of Computer Vision
Mathematical morphology: A useful set of tools for imageanalysis
Statistics and Computing
An edge preserving noise smoothing technique using multiscale morphology
Signal Processing
Shape Connectivity: Multiscale Analysis and Application to Generalized Granulometries
Journal of Mathematical Imaging and Vision
Optimal Level Curves and Global Minimizers of Cost Functionals in Image Segmentation
Journal of Mathematical Imaging and Vision
Journal of Mathematical Imaging and Vision
Extending the data parallel paradigm with data-dependent operators
Parallel Computing - Parallel computing in image and video processing
A Comparison of Algorithms for Connected Set Openings and Closings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Design of optimal binary filters under joint multiresolution-envelope constraint
Pattern Recognition Letters - Special issue: Sibgrapi 2001
Adaptive Segmentation of MR Axial Brain Images Using Connected Components
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Methods and Criteria for Detecting Significant Regions in Medical Image Analysis
ISMDA '01 Proceedings of the Second International Symposium on Medical Data Analysis
High Level Description of Video Surveillance Sequences
ECMAST '99 Proceedings of the 4th European Conference on Multimedia Applications, Services and Techniques
Nonlinear PDEs and Numerical Algorithms for Modeling Levelings and Reconstruction Filters
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Morphological Scale-Space Representation with Levelings
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
Morphological Tools for Robust Key-Region Extraction and Video Shot Modeling
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Bayesian Object Detection through Level Curves Selection
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Advances in the Analysis of Topographic Features on Discrete Images
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
On the Strong Property of Connected Open-Close and Close-Open Filters
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Connectivity on complete lattices: new results
Computer Vision and Image Understanding
Levelings, Image Simplification Filters for Segmentation
Journal of Mathematical Imaging and Vision
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Efficient morphological reconstruction: a downhill filter
Pattern Recognition Letters
Object-Based Image Analysis Using Multiscale Connectivity
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Mathematical Imaging and Vision
Morphology on Label Images: Flat-Type Operators and Connections
Journal of Mathematical Imaging and Vision
Morphological Erosions and Openings: Fast Algorithms Based on Anchors
Journal of Mathematical Imaging and Vision
Extracting Meaningful Curves from Images
Journal of Mathematical Imaging and Vision
Multiscale Connected Operators
Journal of Mathematical Imaging and Vision
Constructing multiscale connectivities
Computer Vision and Image Understanding
Spatio-Temporal Analysis of Constitutive Exocytosis in Epithelial Cells
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
International Journal of Computer Vision
General Adaptive Neighborhood Image Processing
Journal of Mathematical Imaging and Vision
General Adaptive Neighborhood Image Processing
Journal of Mathematical Imaging and Vision
Flat Morphology on Power Lattices
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Level Lines Selection with Variational Models for Segmentation and Encoding
Journal of Mathematical Imaging and Vision
Attribute-space connectivity and connected filters
Image and Vision Computing
Iterative area filtering of multichannel images
Image and Vision Computing
Mask-Based Second-Generation Connectivity and Attribute Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graph regularization for color image processing
Computer Vision and Image Understanding
Image analysis of soil micromorphology: feature extraction, segmentation, and quality inference
EURASIP Journal on Applied Signal Processing
An evaluation of area morphology scale-spaces for colour images
Computer Vision and Image Understanding
Geodesy on label images, and applications to video sequence processing
Journal of Visual Communication and Image Representation
The Strong Property of Morphological Connected Alternated Filters
Journal of Mathematical Imaging and Vision
Ore image segmentation by learning image and shape features
Pattern Recognition Letters
A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision
Local Scale Measure for Remote Sensing Images
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Surface-Area-Based Attribute Filtering in 3D
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Levelings and Geodesic Reconstructions
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
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
Ultimate Attribute Opening Segmentation with Shape Information
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
Constructing multiscale connectivities
Computer Vision and Image Understanding
Synergistic arc-weight estimation for interactive image segmentation using graphs
Computer Vision and Image Understanding
Morphological background detection and enhancement of images with poor lighting
IEEE Transactions on Image Processing
Fast fuzzy connected filter implementation using max-tree updates
Fuzzy Sets and Systems
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Fuzzifying images using fuzzy wavelet denoising
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Multiscale Methods for Image Processing: The Wavelet and the Scale-Space Approaches
SIBGRAPI-TUTORIALS '09 Proceedings of the 2009 Tutorials of the XXII Brazilian Symposium on Computer Graphics and Image Processing
Morphological Connected Filtering on Viscous Lattices
Journal of Mathematical Imaging and Vision
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Shape-based Invariant Texture Indexing
International Journal of Computer Vision
A document binarization method based on connected operators
Pattern Recognition Letters
Simplification of color images using semi-flat morphological operators and statistical metrics
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Minimum spanning tree adaptive image filtering
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Partition-induced connections and operators for pattern analysis
Pattern Recognition
Adjacency stable connected operators and set levelings
Image and Vision Computing
An Automatic Control System for Ratbot Navigation
GREENCOM-CPSCOM '10 Proceedings of the 2010 IEEE/ACM Int'l Conference on Green Computing and Communications & Int'l Conference on Cyber, Physical and Social Computing
An algorithm for segmenting cytological images
Pattern Recognition and Image Analysis
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
Object descriptors based on a list of rectangles: method and algorithm
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
General adaptive neighborhood viscous mathematical morphology
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Pattern Recognition and Image Analysis
Gaussian noise removal by color morphology and polar color models
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
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
Morphological refinement of an image segmentation
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Identification of martian polygonal patterns using the dynamics of watershed contours
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
A fast morphological reconstruction algorithm for MRI brain image simplification
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Automatic mask extraction for PIV-based dam-break analysis
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Biomedical image processing integration through INBIOMED: a web services-based platform
ISBMDA'05 Proceedings of the 6th International conference on Biological and Medical Data Analysis
Connected operators for signal and image processing
NOLISP'05 Proceedings of the 3rd international conference on Non-Linear Analyses and Algorithms for Speech Processing
Morphological contrast index based on the Weber's law
International Journal of Imaging Systems and Technology
Mathematical Morphology on Complete Semilattices and its Applications to Image Processing
Fundamenta Informaticae
Granulometries and Opening Trees
Fundamenta Informaticae
Morphological filtering on graphs
Computer Vision and Image Understanding
Improving the stochastic watershed
Pattern Recognition Letters
Global-local optimizations by hierarchical cuts and climbing energies
Pattern Recognition
Hi-index | 0.01 |
This correspondence deals with the notion of connected operators. Starting from the definition for operator acting on sets, it is shown how to extend it to operators acting on function. Typically, a connected operator acting on a function is a transformation that enlarges the partition of the space created by the flat zones of the functions. It is shown that from any connected operator acting on sets, one can construct a connected operator for functions (however, it is not the unique way of generating connected operators for functions). Moreover, the concept of pyramid is introduced in a formal way. It is shown that, if a pyramid is based on connected operators, the flat zones of the functions increase with the level of the pyramid. In other words, the flat zones are nested. Filters by reconstruction are defined and their main properties are presented. Finally, some examples of application of connected operators and use of flat zones are described