An axiomatic approach to measuring of information of sign-based image representations

Authors:
A. G. Bronevich;A. V. Goncharov
Affiliations:
Taganrog Technological Institute of Southern Federal University, Taganrog, Rostov Region, Russia 347928;Taganrog Technological Institute of Southern Federal University, Taganrog, Rostov Region, Russia 347928
Venue:
Journal of Computer and Systems Sciences International
Year:
2011

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Abstract

A sign-based image representation is introduced and its main properties are investigated. In particular, the problem of measuring information of sign-based representations is discussed. For this purpose, axiomatic measures of information of images and their sign-based representations are introduced. It is shown that these measures are very close in properties to the Shannon entropy. The paper also contains results of calculating the values of the information measures introduced for synthetic and real images.