Next Article in Journal
Entropy Generation during Turbulent Flow of Zirconia-water and Other Nanofluids in a Square Cross Section Tube with a Constant Heat Flux
Previous Article in Journal
How to Read Probability Distributions as Statements about Process
Article Menu

Export Article

Open AccessArticle
Entropy 2014, 16(11), 6099-6115;

Image Fusion Based on the \({\Delta ^{ - 1}} - T{V_0}\) Energy Function

Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
Research Center for Smart Vehicles, Toyota Technological Institute, Nagoya, Aichi 468-8511, Japan
Department of General Education, Macau University of Science and Technology, Macau, China
Toyota Central R&D Labs, Yokomichi, Aichi 480-1192, Japan
Author to whom correspondence should be addressed.
Received: 9 October 2014 / Revised: 11 November 2014 / Accepted: 12 November 2014 / Published: 18 November 2014
(This article belongs to the Section Information Theory, Probability and Statistics)
Full-Text   |   PDF [3781 KB, uploaded 24 February 2015]


This article proposes a \({\Delta^{-1}}-T{V_0}\) energy function to fuse a multi-spectral image with a panchromatic image. The proposed energy function consists of two components, a \(TV_0\) component and a \(\Delta^{-1}\) component. The \(TV_0\) term uses the sparse priority to increase the detailed spatial information; while the \({\Delta ^{ - 1}}\) term removes the block effect of the multi-spectral image. Furthermore, as the proposed energy function is non-convex, we also adopt an alternative minimization algorithm and the \(L_0\) gradient minimization to solve it. Experimental results demonstrate the improved performance of the proposed method over existing methods. View Full-Text
Keywords: image fusion; inverse transform of the Laplace operator (\(\Delta^{-1}\) ); sparse norm; total variation image fusion; inverse transform of the Laplace operator (\(\Delta^{-1}\) ); sparse norm; total variation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Xie, Q.; Ma, C.; Guo, C.; John, V.; Mita, S.; Long, Q. Image Fusion Based on the \({\Delta ^{ - 1}} - T{V_0}\) Energy Function. Entropy 2014, 16, 6099-6115.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top