Abstract
Entropy-based metrics are often employed for objective image fusion quality assessment due to single layer implementation of entropy and a small parameter set. In this paper, we present the theoretical analysis of image fusion quality measure based on Tsallis entropy. The purpose of this study is to theoretically assess if the considered quality measure is able to fulfill the desired behaviors that are expected from an ideal information-based image fusion quality metric. To assess the Tsallis quality measure, the paper employs an image formation model to obtain a closed-form expression for quality while weighted averaging is used as a fusion algorithm. The paper demonstrates that the Tsallis-based quality measure violates the desired behaviors regarding the response to variation of signal-to-noise ratio and effect of entropy order on the measured quality sign. Investigations on real images are also performed and the results agree with the theoretical analysis.
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