Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
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
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
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
A new vector median filter for colour image processing
Pattern Recognition Letters
Inf-Semilattice Approach to Self-Dual Morphology
Journal of Mathematical Imaging and Vision
Morphological Interpolation and Color Images
ICIAP '99 Proceedings of the 10th International Conference on Image Analysis and Processing
Morphology on Label Images: Flat-Type Operators and Connections
Journal of Mathematical Imaging and Vision
Modelling and segmentation of colour images in polar representations
Image and Vision Computing
cDNA microarray image processing using fuzzy vector filtering framework
Fuzzy Sets and Systems
Directional processing of color images: theory and experimental results
IEEE Transactions on Image Processing
Morphological operators on the unit circle
IEEE Transactions on Image Processing
Morphological grayscale reconstruction in image analysis: applications and efficient algorithms
IEEE Transactions on Image Processing
Multivariate ordering in color image filtering
IEEE Transactions on Circuits and Systems for Video Technology
Constructing cylindrical coordinate colour spaces
Pattern Recognition Letters
Color in image and video processing: most recent trends and future research directions
Journal on Image and Video Processing - Color in Image and Video 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
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
On the construction of interval-valued fuzzy morphological operators
Fuzzy Sets and Systems
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
Probabilistic pseudo-morphology for grayscale and color images
Pattern Recognition
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The extension of mathematical morphology operators to multi-valued functions, and in particular to colour images, is neither direct nor general. In this paper, a generalisation of distance-based and lexicographical-based approaches is proposed, allowing the extension of morphological operators to colour images for any colour representation (e.g., RGB, LSH and L^*a^*b^*) and for any metric distance to a reference colour. The performance of the introduced operators is illustrated by means of different applications: colour feature extraction using openings (closings) by reconstruction, colour gradients for segmenting, colour denoising by the centre operator and colour enhancement by the contrast mapping. Examples from natural colour images and biomedical microscopic colour images are given.