Cart (Loading....) | Create Account
Close category search window

Compact Figures in Digital Pictures

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Rosenfeld, Azriel ; Computer Science Center, University of Maryland, College Park, Md. 20742.

The square of the perimeter of a figure divided by its area P2/A is a classical measure of the noncompactness of the figure. In Euclidean geometry, P2/A is always at least 4¿, and takes on this minimum value only if the figure is a circle; larger values correspond to figures that are less compact than circles. In digital pictures, however, certain squares or octagons¿depending on how P is measured¿yield smaller values than do digitized circles. Thus for digital pictures, though P2/A may be useful as a practical measure of noncompactness, it possesses certain pathological features of which users should be aware.

Published in:

Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-4 ,  Issue: 2 )

Date of Publication:

March 1974

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.