The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Why mathematical morphology needs complete lattices
Signal Processing
The algebraic basis of mathematical morphology
CVGIP: Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological operators for image sequences
Computer Vision and Image Understanding
Complete ordering and multivariate mathematical morphology
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
Total ordering based on space filling curves for multivalued morphology
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
Mathematical morphology on complete semilattices and its applications to image processing
Fundamenta Informaticae - Special issue on mathematical morphology
A new vector median filter for colour image processing
Pattern Recognition Letters
Digital Image Processing
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision
Inf-Semilattice Approach to Self-Dual Morphology
Journal of Mathematical Imaging and Vision
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Colour mathematical morphology for neural image analysis
Real-Time Imaging - Special issue: Imaging in bioinformatics part II
Morphological Algorithms for Color Images based on a Generic-Programming Approach
SIBGRAPHI '98 Proceedings of the International Symposium on Computer Graphics, Image Processing, and Vision
Outex - New Framework for Empirical Evaluation of Texture Analysis Algorithms
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 1 - Volume 1
Morphological operators on complex signals
Signal Processing
The Morphological Top-Hat Operator Generalised to Multi-Channel Images
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 1 - Volume 01
Gaussian Noise Elimination in Colour Images by Vector-Connected Filters
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
Morphology on Label Images: Flat-Type Operators and Connections
Journal of Mathematical Imaging and Vision
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Granulometries and pattern spectra for radar signals
Signal Processing
Spatial morphological covariance applied to texture classification
MRCS'06 Proceedings of the 2006 international conference on Multimedia Content Representation, Classification and Security
Morphological operators on the unit circle
IEEE Transactions on Image Processing
Unsupervised iterative detection of land mines in highly cluttered environments
IEEE Transactions on Image Processing
Vector directional filters-a new class of multichannel image processing filters
IEEE Transactions on Image Processing
Multivariate ordering in color image filtering
IEEE Transactions on Circuits and Systems for Video Technology
On lexicographical ordering in multivariate mathematical morphology
Pattern Recognition Letters
Constructing cylindrical coordinate colour spaces
Pattern Recognition Letters
α-Trimmed lexicographical extrema for pseudo-morphological image analysis
Journal of Visual Communication and Image Representation
A Multivariate Hit-or-Miss Transform for Conjoint Spatial and Spectral Template Matching
ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
A hit-or-miss transform for multivariate images
Pattern Recognition Letters
On the morphological processing of hue
Image and Vision Computing
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Component-Trees and Multi-value Images: A Comparative Study
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
A class of sparsely connected autoassociative morphological memories for large color images
IEEE Transactions on Neural Networks
Journal of Visual Communication and Image Representation
Morphological description of color images for content-based image retrieval
IEEE Transactions on Image Processing
Ripe tomato extraction for a harvesting robotic system
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Knowledge from markers in watershed segmentation
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
A basin morphology approach to colour image segmentation by region merging
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Adaptive lattices on the unit sphere: application to remote sensing
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Graph-based morphological processing of multivariate microscopy images and data bases
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Partial differences as tools for filtering data on graphs
Pattern Recognition Letters
Pattern Recognition Letters
An efficient combination of texture and color information for watershed segmentation
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
Fuzzy bipolar mathematical morphology: a general algebraic setting
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Mathematical morphology for vector images using statistical depth
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
Spatial and spectral morphological template matching
Image and Vision Computing
Quantale-based autoassociative memories with an application to the storage of color images
Pattern Recognition Letters
Probabilistic pseudo-morphology for grayscale and color images
Pattern Recognition
Component-Trees and Multivalued Images: Structural Properties
Journal of Mathematical Imaging and Vision
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The successful application of univariate morphological operators on several domains, along with the increasing need for processing the plethora of available multivalued images, have been the main motives behind the efforts concentrated on extending the mathematical morphology framework to multivariate data. The few theoretical requirements of this extension, consisting primarily of a ranking scheme as well as extrema operators for vectorial data, have led to numerous suggestions with diverse properties. However, none of them has yet been widely accepted. Furthermore, the comparison research work in the current literature, evaluating the results obtained from these approaches, is either outdated or limited to a particular application domain. In this paper, a comprehensive review of the proposed multivariate morphological frameworks is provided. In particular, they are examined mainly with respect to their data ordering methodologies. Additionally, the results of a brief series of illustrative application oriented tests of selected vector orderings on colour and multispectral remote sensing data are also discussed.