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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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
-
Road Scene Image Segmentation Based on Feature Fusion
Shakeri, Abbas | Moshiri, Behzad | Koohi, Mahdi2020 28th Iranian Conference on Electrical Engineering (ICEE), (2020), P.1
https://doi.org/10.1109/ICEE50131.2020.9260832 [Citations: 0] -
Gradient structural similarity based gradient filtering for multi-modal image fusion
Fu, Zhizhong | Zhao, Yufei | Xu, Yuwei | Xu, Lijuan | Xu, JinInformation Fusion, Vol. 53 (2020), Iss. P.251
https://doi.org/10.1016/j.inffus.2019.06.025 [Citations: 26] -
Variational bimodal image fusion with data-driven tight frame
Zhang, Ying | Zhang, XiaoqunInformation Fusion, Vol. 55 (2020), Iss. P.164
https://doi.org/10.1016/j.inffus.2019.08.007 [Citations: 6] -
Variational Osmosis for Non-Linear Image Fusion
Parisotto, Simone | Calatroni, Luca | Bugeau, Aurélie | Papadakis, Nicolas | Schönlieb, Carola-BibianeIEEE Transactions on Image Processing, Vol. 29 (2020), Iss. P.5507
https://doi.org/10.1109/TIP.2020.2983537 [Citations: 20] -
Dual algorithm for truncated fractional variation based image denoising
Liang, Haixia | Zhang, JuliInternational Journal of Computer Mathematics, Vol. 97 (2020), Iss. 9 P.1849
https://doi.org/10.1080/00207160.2019.1664737 [Citations: 3] -
Variational Contrast Enhancement of Gray-Scale and RGB Images
Pierre, Fabien | Aujol, Jean-François | Bugeau, Aurélie | Steidl, Gabriele | Ta, Vinh-ThongJournal of Mathematical Imaging and Vision, Vol. 57 (2017), Iss. 1 P.99
https://doi.org/10.1007/s10851-016-0670-8 [Citations: 20] -
Relaxation of functionals in the space of vector-valued functions of bounded Hessian
Hagerty, Adrian
Calculus of Variations and Partial Differential Equations, Vol. 58 (2019), Iss. 1
https://doi.org/10.1007/s00526-018-1452-5 [Citations: 2]