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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 ...
Divyendu Sinha, Edward R. Dougherty
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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 ...
Divyendu Sinha, Edward R. Dougherty
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Isprs Journal of Photogrammetry and Remote Sensing, 2018
The detection and extraction of water bodies from satellite imagery is very important and useful for several planning and developmental activities such as shoreline identification, mapping riverbank erosion, watershed extraction and water resource ...
C. A. Rishikeshan, H. Ramesh
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The detection and extraction of water bodies from satellite imagery is very important and useful for several planning and developmental activities such as shoreline identification, mapping riverbank erosion, watershed extraction and water resource ...
C. A. Rishikeshan, H. Ramesh
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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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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 ...
Benjamín Luna Benoso +3 more
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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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Optoelectronic implementation of mathematical morphology
Optics Letters, 1989An optoelectronic implementation based on optical neighborhood operations and electronic nonlinear feedback is proposed to perform morphological image processing such as erosion, dilation, opening, closing, and edge detection. Results of a numerical simulation are given and experimentally verified.
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Bridging the Gap: Entwining Mathematical Morphology and Morphological Mathematics
Two separate but related fields, mathematical morphology (MM), a particular theory for image and signal analysis, and the larger, more general field of morphological mathematics—which covers the mathematical study of shape and form across many disciplines—are investigated in this paper for their conceptual and practical linkages. Although morphologicalopenaire +1 more source