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Proceedings Paper

Morphological 1D grayscale structural function decomposition
Author(s): Wei Gong; Qing-Yun Shi
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Paper Abstract

Decomposability of convex grayscale structural functions on 1D digital space Z will be discussed. Based on this, we will consider how to decompose 1D digital structural functions, especially those functions taking integer values, into bipoint functions or into locally defined functions (i.e. functions with small sized support domains). It will be shown that any real valued convex function on Z must be able to be decomposed and some efficient decomposing algorithms will be offered. For integral valued convex function on Z, although most of them may be indecomposable, we will show that after changing them a little an (approximate) decomposition can be found efficiently. A simple technique will be presented to remove the distortion of morphological transformation caused by using this approximate decomposition. Finally, a brief discussion will be given to decomposition of nonconvex structural function.

Paper Details

Date Published: 1 June 1994
PDF: 12 pages
Proc. SPIE 2238, Hybrid Image and Signal Processing IV, (1 June 1994); doi: 10.1117/12.177721
Show Author Affiliations
Wei Gong, Peking Univ. (China)
Qing-Yun Shi, Peking Univ. (China)

Published in SPIE Proceedings Vol. 2238:
Hybrid Image and Signal Processing IV
David P. Casasent; Andrew G. Tescher, Editor(s)

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