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This article describes the variational multi-source image fusion using the structure tensor algorithm, which can keep the image features and details very well. We first narrative the fusion gradient field based on structure tensor, then measure the characteristic graphs of each source image, and thus construct a weight value for the source image gradient according to the characteristic graph. Gradients with high image features are highlighted in the fusion gradient field, and thus image features in the sources are well preserved. By using variational partial differential equation, the fusion image is reconstructed from the target gradient field. From the actual experimental results, the average gradient value and entropy of the fused image are found to be higher than those obtained by using the wavelet transform algorithm, tower decomposition algorithm, and direct gradient fusion algorithm, and the visual effect of the fusion image is good enough to retain the feature of source images and details in it. Therefore, it can give qualified image information for target detection and identification.
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Keywords:
- image fusion /
- gradient field /
- structure tensor /
- variational method
[1] Zhao L Y, Ma Q L, Li X R 2012 Acta Phys. Sin. 61 194204 (in Chinese) [赵辽英, 马启良, 厉小润 2012 物理学报 61 194204]
[2] Li G X, Xu S Y, Wu W P, Sun T Y, Hao W 2012 Optics and Precision Engineering 20 2773 (in Chinese) [李光鑫, 徐抒岩, 吴伟平, 孙天宇, 郝伟 2012 光学精密工程 20 2773]
[3] Zhang C, Bai L F, Zhang Y 2007 Acta Phys. Sin. 56 3227 (in Chinese) [张闯, 柏连发, 张毅 2007 物理学报 56 3227]
[4] Wang W W, Shui P L, Song G X 2003 Proc. Int. Conf. On Machine Learning and Cybernetics 5 2887
[5] Gan T, Feng S T, Nie S P, Zhu Z Q 2011 Acta Phys. Sin. 60 114205 (in Chinese) [甘甜, 冯少彤, 聂守平, 朱竹青 2011 物理学报 60 114205]
[6] Li S P, Wang L Y, Yan B, Li L, Liu Y J 2012 Chin. Phys. B 21 108703
[7] Socolinsky D A, Wolff L B 1999 Computer Vision and Pattern Recognition 319
[8] Wang C, Yang Q, Tang X O, Ye Z F 2006 IEEE International Conference on Image Processing 989
[9] Piella G 2009 Int. J. Comput. Vis. 83 1
[10] Xu X, Chen Q, Sun H J, Xia D S 2011 Journal of Image and Graphics 16 278 (in Chinese) [许欣, 陈强, 孙怀江, 夏德深 2011 中国图象图形学报 16 278]
[11] Geng S 2012 M. S. Dissertation (Jinan: Shandong Normal University) (in Chinese) [耿帅 2012 硕士学位论文 (济南: 山东师范大学)]
[12] Lao D Z 2007 Variational method (Beijing: National Defense Industry Press) p82 (in Chinese) [老大中 2007 变分法基础 (北京: 国防工业出版社) 第82页]
[13] Press W H, Teukolsky S A, Vetterling W T 2003 The art of scientific computing (Beijing: Publishing House of Electronics Industry)
[14] Han X Z, Zhao J 2012 Optics and Precision Engineering 20 1382 (in Chinese) [韩希珍, 赵建 2012 光学精密工程 20 1382]
[15] Qu G H, Zhang D L, Yan P F 2002 Electronics Letters 38 313
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[1] Zhao L Y, Ma Q L, Li X R 2012 Acta Phys. Sin. 61 194204 (in Chinese) [赵辽英, 马启良, 厉小润 2012 物理学报 61 194204]
[2] Li G X, Xu S Y, Wu W P, Sun T Y, Hao W 2012 Optics and Precision Engineering 20 2773 (in Chinese) [李光鑫, 徐抒岩, 吴伟平, 孙天宇, 郝伟 2012 光学精密工程 20 2773]
[3] Zhang C, Bai L F, Zhang Y 2007 Acta Phys. Sin. 56 3227 (in Chinese) [张闯, 柏连发, 张毅 2007 物理学报 56 3227]
[4] Wang W W, Shui P L, Song G X 2003 Proc. Int. Conf. On Machine Learning and Cybernetics 5 2887
[5] Gan T, Feng S T, Nie S P, Zhu Z Q 2011 Acta Phys. Sin. 60 114205 (in Chinese) [甘甜, 冯少彤, 聂守平, 朱竹青 2011 物理学报 60 114205]
[6] Li S P, Wang L Y, Yan B, Li L, Liu Y J 2012 Chin. Phys. B 21 108703
[7] Socolinsky D A, Wolff L B 1999 Computer Vision and Pattern Recognition 319
[8] Wang C, Yang Q, Tang X O, Ye Z F 2006 IEEE International Conference on Image Processing 989
[9] Piella G 2009 Int. J. Comput. Vis. 83 1
[10] Xu X, Chen Q, Sun H J, Xia D S 2011 Journal of Image and Graphics 16 278 (in Chinese) [许欣, 陈强, 孙怀江, 夏德深 2011 中国图象图形学报 16 278]
[11] Geng S 2012 M. S. Dissertation (Jinan: Shandong Normal University) (in Chinese) [耿帅 2012 硕士学位论文 (济南: 山东师范大学)]
[12] Lao D Z 2007 Variational method (Beijing: National Defense Industry Press) p82 (in Chinese) [老大中 2007 变分法基础 (北京: 国防工业出版社) 第82页]
[13] Press W H, Teukolsky S A, Vetterling W T 2003 The art of scientific computing (Beijing: Publishing House of Electronics Industry)
[14] Han X Z, Zhao J 2012 Optics and Precision Engineering 20 1382 (in Chinese) [韩希珍, 赵建 2012 光学精密工程 20 1382]
[15] Qu G H, Zhang D L, Yan P F 2002 Electronics Letters 38 313
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