| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 427675 | Information Processing Letters | 2012 | 6 Pages |
Abstract
In this letter, fractional calculus is used to propose the fractional entropy (FE) and the fractional mutual information (FMI) as the new forms of the information measure in a generalized Euclidean metric space. Being position-related and causal, FE and FMI are natural extensions and more generalized forms of Shannon entropy and mutual information, respectively.
► FE and FMI are the natural extensions and generalized forms of Shannon and MI respectively. ► Some of the mathematical properties about FE and FMI are rigorously studied. ► Counterexamples demonstrate the value of this work. ► FMI and NFMI can be adopted as the similarity measures in image registration.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Shiwei Yu, T.-Z. Huang, Xiaoyun Liu, Wufan Chen,