Variational Image Fusion with First and Second-Order Gradient Information

Variational Image Fusion with First and Second-Order Gradient Information

Year:    2016

Author:    Fang Li, Tieyong Zeng

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 200–222

Abstract

Image fusion is important in computer vision where the main goal is to integrate several sources images of the same scene into a more informative image. In this paper, we propose a variational image fusion method based on the first and second-order gradient information. Firstly, we select the target first-order and second-order gradient information from the source images by a new and simple salience criterion. Then we build our model by requiring that the first-order and second-order gradient information of the fused image match with the target gradient information, and meanwhile the fused image is close to the source images. Theoretically, we can prove that our variational model has a unique minimizer. In the numerical implementation, we take use of the split Bregman method to get an efficient algorithm. Moreover, four-direction difference scheme is proposed to discrete gradient operator, which can dramatically enhance the fusion quality. A number of experiments and comparisons with some popular existing methods demonstrate that the proposed model is promising in various image fusion applications.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1512-m2014-0008

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 200–222

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Image fusion Feature selection Bounded variation Second bounded variation Split Bregman.

Author Details

Fang Li

Tieyong Zeng