Heterogeneous granulometries

Francis M. Sand; Edward R. Dougherty

doi:10.1117/12.146656

23 June 1993 Heterogeneous granulometries

Francis M. Sand, Edward R. Dougherty

Proceedings Volume 2030, Image Algebra and Morphological Image Processing IV; (1993) https://doi.org/10.1117/12.146656
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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 k^th 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.

Citation Download Citation

Francis M. Sand and Edward R. Dougherty "Heterogeneous granulometries", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); https://doi.org/10.1117/12.146656

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available