Paper
30 June 1994 Properties of image sequences generated through opening residuals
R. Alan Peters II, James A. Nichols
Author Affiliations +
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.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
R. Alan Peters II and James A. Nichols "Properties of image sequences generated through opening residuals", Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); https://doi.org/10.1117/12.179207
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Cited by 1 scholarly publication.
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KEYWORDS
Binary data

Digital imaging

Selenium

Image resolution

Silicon

Spatial frequencies

Visible radiation

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