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Jensen-discrete information generating function with an application to image processing
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DOI：10.1007/s00500-023-07863-0.png)
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Abstract
En 中文
In this work, we first consider the discrete version of information generating function and develop some new results for it. We then propose Jensen-discrete information generating (JDIG) function as a generalized measure, which is connected to Shannon entropy, fractional Shannon entropy, Gini-Simpson index (Gini entropy), extropy, Jensen-Shannon entropy, Jensen-Gini-Simpson index and Jensen-extropy measures. Finally, for illustrative purpose, we use a real example from image processing and provide some numerical results in terms of the Jensen-discrete information generating function and demonstrate that the JDIG measure introduced here is an useful criteria for measuring similarity between two images.
Keywords:
Information generating function
Shannon entropy
Jensen-Shannon entropy
Gini entropy
Extropy
Image processing
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