Morphological granulometric simulation: distribution of the pattern-spectrum mean and variance for binary images with overlapping elements

Francis M. Sand; Edward R. Dougherty

doi:10.1117/12.138280

16 September 1992 Morphological granulometric simulation: distribution of the pattern-spectrum mean and variance for binary images with overlapping elements

Francis M. Sand, Edward R. Dougherty

Author Affiliations +

Proceedings Volume 1700, Automatic Object Recognition II; (1992) https://doi.org/10.1117/12.138280
Event: Aerospace Sensing, 1992, Orlando, FL, United States

Abstract

Several studies have discussed how the granulometric pattern-spectrum moments can provide good texture discrimination within images. Because textural images are modeled as random processes, the moments of an image's pattern spectrum are random variables, and knowledge of their distributions is key to the classification procedure. Both exact and asymptotic discriptions of the mean and variance distributions have previously been found under the assumption that the texture elements are nonoverlapping. The present study employs computer simulations to address the situation where the elements are not disjoint. The image is generated by Monte Carlo techniques with the predefined set of primitives, openings are calculated, and the pattern spectrum is found. It is seen that the pattern-spectrum mean remains close to its theoretical distribution.

Citation Download Citation

Francis M. Sand and Edward R. Dougherty "Morphological granulometric simulation: distribution of the pattern-spectrum mean and variance for binary images with overlapping elements", Proc. SPIE 1700, Automatic Object Recognition II, (16 September 1992); https://doi.org/10.1117/12.138280

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Computer simulations

Binary data

Monte Carlo methods

Image filtering

Object recognition

Statistical analysis

Raster graphics

Show All Keywords

Keywords/Phrases

Search In:

Publication Years