Equicontinuous functions: a model for mathematical morphology (Invited Paper)

Jean C. Serra

doi:10.1117/12.60646

1 June 1992 Equicontinuous functions: a model for mathematical morphology (Invited Paper)

Jean C. Serra

Proceedings Volume 1769, Image Algebra and Morphological Image Processing III; (1992) https://doi.org/10.1117/12.60646
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

The classes of the equicontinuous functions from a metric space E into an ecart lattice T offer a remarkably consistent theoretical framework to morphological operations. It is proved that in the case of robust lattices, they are closed under sup and inf, with exceptional properties of continuity in addition. Special attention is paid to the cases when T is totally ordered (e.g., R or Z), and to the (finite or not) products of this case, i.e., to multispectral and/or motion images modelling.

Citation Download Citation

Jean C. Serra "Equicontinuous functions: a model for mathematical morphology (Invited Paper)", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); https://doi.org/10.1117/12.60646

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