Mathematical properties of information theoretic image similarity measures

Oskar Škrinjar

doi:10.1117/12.654238

10 March 2006 Mathematical properties of information theoretic image similarity measures

Oskar Škrinjar

Proceedings Volume 6144, Medical Imaging 2006: Image Processing; 614433 (2006) https://doi.org/10.1117/12.654238
Event: Medical Imaging, 2006, San Diego, California, United States

Abstract

Joint entropy, mutual information, and normalized mutual information are widely used image similarity measures in multimodality image registration and other problems that involve comparing images with arbitrary intensity relationships. While these image similarity measures have been successfully used in various applications, their mathematical properties have not been studied thoroughly. This paper analyzes several properties of practical interest of the three image similarity measures. It is shown that mutual information, despite its popularity, and joint entropy have a few undesirable properties. On the other hand, normalized mutual information does not suffer from these problems. The properties are proven mathematically, which renders the conclusions independent of image type, noise, and artifacts. The conclusions are in line with the results of previous experimental studies, in which normalized mutual information outperformed other information theoretic image similarity measures.

Citation Download Citation

Oskar Škrinjar "Mathematical properties of information theoretic image similarity measures", Proc. SPIE 6144, Medical Imaging 2006: Image Processing, 614433 (10 March 2006); https://doi.org/10.1117/12.654238

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