Share Email Print
cover

Proceedings Paper

Heterogeneous granulometries
Author(s): Francis M. Sand; Edward R. Dougherty
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

The Euclidean granulometries are generalized to allow the introduction of a positive increasing function h(t), as the scalar multiplier instead of t in the granulometry ((Psi) t). A rather general result for the kth pattern spectrum moment is derived. For polynomial choice of h-1(t), the asymptotic expressions for the mean and variance of the pattern spectrum moments can be obtained and the asymptotic distribution can be shown to be normal. For other choices, the asymptotic expressions for the mean and variance are shown to provide excellent agreement with simulated pattern spectra, but the asymptotic distribution is not known.

Paper Details

Date Published: 23 June 1993
PDF: 5 pages
Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); doi: 10.1117/12.146656
Show Author Affiliations
Francis M. Sand, Fairleigh Dickinson Univ. (United States)
Edward R. Dougherty, Rochester Institute of Technology (United States)


Published in SPIE Proceedings Vol. 2030:
Image Algebra and Morphological Image Processing IV
Edward R. Dougherty; Paul D. Gader; Jean C. Serra, Editor(s)

© SPIE. Terms of Use
Back to Top