Accession Number:

ADA285355

Title:

Greyscale Morphology by the Umbra Method

Descriptive Note:

Final rept. Sep 1992-Sep 1993

Corporate Author:

ARMY RESEARCH LAB ADELPHI MD

Personal Author(s):

Report Date:

1994-09-01

Pagination or Media Count:

63.0

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 Rnl R the real continuum

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE