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Beyond Mathematical Morphology
SPIE Proceedings, 1987We present an algebraic structure, known as the AFATL (Air Force Armament Technical Laboratory) Image Algebra, that is capable of expressing all image-to-image transformations. After presenting a brief overview of the operands and operations of the algebra, we show how a subalgebra of the full Image Algebra generalizes the theory of mathematical ...
Gerhard X. Ritter +2 more
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Hypercomplex Mathematical Morphology
Journal of Mathematical Imaging and Vision, 2011The natural ordering of grey levels is used in classical mathematical morphology for scalar images to define the erosion/dilation and the evolved operators. Various operators can be sequentially applied to the resulting images always using the same ordering.
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Fault location on branched networks using mathematical morphology
, 2018Here, a new travelling wave-based fault location method is proposed for branched networks. A mathematical morphology-based filter is used to analyse fault-induced transient signals and detects the arrival time of travelling waves.
M. Salehi, F. Namdari
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Cellular Mathematical Morphology
2007 Sixth Mexican International Conference on Artificial Intelligence, Special Session (MICAI), 2007In this work basic mathematical morphology operations, such as dilation, erosion, opening, and closing, are reformulated and characterized by means of equivalent cellular automata. In this manner, it becomes possible to take advantage of the broad extent of solid results of theory and applications of cellular automata in creating new algorithms where ...
B.L. Benoso +3 more
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Six Phase Transmission Line Boundary Protection Using Mathematical Morphology
2018 International Conference on Computing, Power and Communication Technologies (GUCON), 2018In this paper, mathematical morphology based fault detection scheme is proposed for the detection of close-in and remote-end six phase transmission line boundary faults. The proposed method makes use of fault current samples rescued at the relay location
Gaurav Kapoor
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Journal of Visual Communication and Image Representation, 1992
The original extension of binary mathematical morphology to the gray scale is based upon the lattice-theoretic supremum and infimum operations, its geometric genesis being framed in terms of the umbra transform. Abstract formulation of the mathematical theory is set in the context of complete lattices; nonetheless, as applied to the Euclidean gray ...
Edward R. Dougherty, Divyendu Sinha
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The original extension of binary mathematical morphology to the gray scale is based upon the lattice-theoretic supremum and infimum operations, its geometric genesis being framed in terms of the umbra transform. Abstract formulation of the mathematical theory is set in the context of complete lattices; nonetheless, as applied to the Euclidean gray ...
Edward R. Dougherty, Divyendu Sinha
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Image Processing and Mathematical Morphology: Fundamentals and Applications
, 2017Introduction to Mathematical Morphology Basic Concept in Digital Image Processing Brief History of Mathematical Morphology Essential Morphological Approach to Image Analysis Scope of This Book Binary Morphology Set Operations on Binary Images Logical ...
F. Shih
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Mathematical morphology and convolutions [PDF]
Journal of Microscopy, 1989 SUMMARYThe transforms of mathematical morphology may be generated by convolutions followed by thresholdings. Furthermore, the convolution‐thresholding pair may generalize mathematical morphology in three directions thanks to adjustments of the thresholding level, weighting of the coefficients of the convolution matrix and iterations.
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Geography, Mathematics and Mathematical Morphology
2013Mathematical Morphology (MM) has been introduced in geographical sciences during the years 1970-1980. However it did not find the same echo in the geographer community according the areas of research. Unlike remote sensing where MM tools have been used as early as in the eighties and are nowadays widespread, in the research works resorting to spatial ...
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Learning Grayscale Mathematical Morphology with Smooth Morphological Layers
Journal of Mathematical Imaging and Vision, 2022Romain Hermary +4 more
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