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- W306011350 abstract "Abstract : Matheron, Sternberg, Haralick, and others have shown that a grayscale-image morphology can be developed by means of the umbra method, that is, by the application of set morphology to the umbrae of the graphs of grayscale images. A twofold extension of the grayscale theory that issues from this method is here obtained. These extensions are achieved by means of a rigorous and detailed development of both the topological and algebraic aspects of the method. The umbra method represents grayscale images by the bounded nonnegative functions in the set U of extended real valued (ERV) upper semicontinuous (USC) functions of n real variables. The set U can be identified with the subspace of umbral members of the space of closed subsets of either Rn x (negative infinity, infinity) or Rn+l (R = the real continuum)" @default.
- W306011350 created "2016-06-24" @default.
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- W306011350 date "1994-09-01" @default.
- W306011350 modified "2023-09-26" @default.
- W306011350 title "Greyscale Morphology by the Umbra Method" @default.
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- W306011350 doi "https://doi.org/10.21236/ada285355" @default.
- W306011350 hasPublicationYear "1994" @default.
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