Computer Vision, Graphics, and Image Processing
Image Analysis Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
A nonlinear laplace operator as edge detector in noisy images
Computer Vision, Graphics, and Image Processing
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Threshold Decomposition of Gray-Scale Morphology into Binary Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision
Boundary-Constrained Morphological Skeleton Minimization and Skeleton Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
A massively parallel implementation of the watershed based on cellular automata
ASAP '97 Proceedings of the IEEE International Conference on Application-Specific Systems, Architectures and Processors
Flat Morphology on Power Lattices
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
An evaluation of area morphology scale-spaces for colour images
Computer Vision and Image Understanding
Global optimization for first order Markov Random Fields with submodular priors
Discrete Applied Mathematics
Global optimization for first order Markov random fields with submodular priors
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
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
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
From Binary to Grey Scale Convex Hulls
Fundamenta Informaticae
Artificial Vision and Soft Computing
Fundamenta Informaticae
Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter
Journal of Mathematical Imaging and Vision
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It is shown that four composite morphological systems, namely morphological edge detection, peak/valley extraction, skeletonization, and shape-size distributions obey a weak linear superposition, called threshold-linear superposition. The output image signal or measurement from each system is shown to be the sum of outputs due to input binary images that result from thresholding the input gray-level image at all levels. These results are generalized to a vector space formulation, e.g. to any finite linear combination of simple morphological systems. Thus many such systems processing gray-level images are reduced to corresponding binary image processing systems, which are easier to analyze and implement.