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Proceedings Paper

Morphological pyramid with alternating sequential filters
Author(s): Aldo W. Morales; Raj S. Acharya
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Paper Abstract

The aim of this paper is to find a relationship between alternating sequential filters and the morphological sampling theorem developed by Haralick. First, we show an alternative proof for opening and closing in the sampled and unsampled domain. This is done by using basis functions. This decomposition is used then to show the relationship of opening- closing in the sampled and unsampled domain. An upper and a lower bound, for the previous relationships, were found. Under certain circumstances, an equivalence is shown for opening-closing between the sampled and the unsampled domain. An extension to more complicated algorithms is also considered, namely; union of openings and intersection of closings. The reason to consider such transformations is that in some applications we would like to eliminate pixels removed by individual openings (closings).

Paper Details

Date Published: 1 June 1991
PDF: 12 pages
Proc. SPIE 1452, Image Processing Algorithms and Techniques II, (1 June 1991); doi: 10.1117/12.45388
Show Author Affiliations
Aldo W. Morales, Pennsylvania State Univ. (United States)
Raj S. Acharya, SUNY/Buffalo (United States)


Published in SPIE Proceedings Vol. 1452:
Image Processing Algorithms and Techniques II
Mehmet Reha Civanlar; Sanjit K. Mitra; Robert J. Moorhead, Editor(s)

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