Decomposition of geometric-shaped structuring elements using morphological transformations on binary images

Document Type

Article

Publication Date

1-1-1992

Abstract

Mathematical morphology which is based on geometric shape, provides an approach to the processing and analysis of digital images. Several widely-used geometric-shaped structuring elements can be used to explore the shape characteristics of an object. A unified technique is presented to simplify the decomposition of various types of big geometric-shaped structuring elements into dilations of smaller structuring components by the use of a mathematical transformation. Hence, the desired morphological erosion and dilation are equivalent to a simple inverse transformation over the result of operations on the transformed decomposable structuring elements. A strategy is also presented to decompose a large cyclic cosine structuring element. The technique of decomposing a two-dimensional (2D) convex structuring element into one-dimensional (1D) ones is also developed. © 1992.

Identifier

0026938458 (Scopus)

Publication Title

Pattern Recognition

External Full Text Location

https://doi.org/10.1016/0031-3203(92)90013-9

ISSN

00313203

First Page

1097

Last Page

1106

Issue

10

Volume

25

Grant

IRI-9109138

Fund Ref

National Science Foundation

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