Greyscale Morphology by the Umbra Method

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)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1994
Accession Number
ADA285355

Entities

People

  • Dennis W. Mcguire

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Convergence
  • Decomposition
  • Geometry
  • Identification
  • Image Processing
  • Intervals
  • Military Research
  • Numbers
  • Real Numbers
  • Real Variables
  • Sequences
  • Signal Processing
  • Target Recognition
  • Topology
  • Translations

Readers

  • Computer Engineering
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Space Objects