Topological operators for grayscale image processing

Michel Couprie; Francisco-Nivando Bezerra; Gilles Bertrand

doi:10.1117/1.1408316

1 October 2001 Topological operators for grayscale image processing

Michel Couprie, Francisco-Nivando Bezerra, Gilles Bertrand

Journal of Electronic Imaging, Vol. 10, Issue 4, (October 2001). https://doi.org/10.1117/1.1408316

In recent work, we introduced some topological notions for grayscale images based on a cross-section topology. In particular, the notion of destructible point, which corresponds to the classical notion of simple point, allows us to build operators that simplify a grayscale image while preserving its topology. In this paper, we introduce new notions and operators in the framework of the crosssection topology. In particular, the notion of the l-destructible point allows us to selectively modify the topology, based on a local contrast parameter l. By combining homotopic and nonhomotopic operators, we introduce new methods for filtering, thinning, segmenting, and enhancing grayscale images.

©(2001) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Michel Couprie, Francisco-Nivando Bezerra, and Gilles Bertrand "Topological operators for grayscale image processing," Journal of Electronic Imaging 10(4), (1 October 2001). https://doi.org/10.1117/1.1408316

Published: 1 October 2001

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