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Proceedings Paper

Properties of image sequences generated through opening residuals
Author(s): R. Alan Peters; James A. Nichols
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Paper Abstract

This paper states and proves a number of properties of the tophat and the tophat spectrum. These include: the tophat is antiextensive and idempotent (but not increasing); each image in the tophat spectrum is size-limited and open; the structuring element family need not be mutually open to generate a tophat spectrum; if the SE family is mutually open, and the original image is binary, each image in the tophat spectrum includes the open part of the corresponding image from the opening spectrum; and, the tophat spectrum is identical to the opening spectrum created with a family of flat, 1D structuring elements.

Paper Details

Date Published: 30 June 1994
PDF: 12 pages
Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); doi: 10.1117/12.179207
Show Author Affiliations
R. Alan Peters, Vanderbilt Univ. (United States)
James A. Nichols, Sverdrup Technology (United States)


Published in SPIE Proceedings Vol. 2300:
Image Algebra and Morphological Image Processing V
Edward R. Dougherty; Paul D. Gader; Michel Schmitt, Editor(s)

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