超分辨率重建可以从低分辨率图像序列中重建出高分辨率图像,提高图像质量。重建出边缘保持且噪声低的高分辨率图像,仍具有挑战。针对此问题,在L1先验模型中添加图像梯度的L0范数作为先验知识,提出联合L1和L0先验模型的超分辨率重建算法,既保留L1先验模型边缘保持的优点,又保留L0先验模型抑制噪声的优点。将该算法与双三次插值、Total Variation (TV)先验模型和L1先验模型作对比,通过仿真实验数据和真实实验数据的分析,验证本文算法的有效性。
Super-resolution (SR) reconstruction can reconstruct a high-resolution image from low-resolution image sequences and improve image quality. Reconstructing a high-resolution image with edge preserving and low noise is still a challenge in SR. Therefore, the L0 norm of the image gradient is added as prior knowledge in the L1 prior model, and a SR reconstruction algorithm by combining the L1 and L0 prior model is proposed in this paper, which not only retains the advantage of L1 prior model preserving edges, but also retains the advantage of L0 prior model suppressing noise. Compared with bicubic interpolation, total variation (TV) prior model, and L1 prior model, the validity of the algorithm is verified through the analysis of simulation experimental data and real experimental data.
[1] Tsai R, Huang T S. Multiframe image restoration and registration[J]. Advances in Computer Vision and Image Processing, 1984, 1(2): 317-339.
[2] Yue L W, Shen H F, Li J, et al. Image super-resolution: the techniques, applications, and future[J]. Signal processing, 2016, 128(11):389-408. DOI:10.1016/j.sigpro.2016.05.002.
[3] Zhang Y F, Fan Q L, Bao F X, et al. Single-Image super-resolution based on rational fractal interpolation[J]. IEEE Transactions on Image Processing, 2018,27(8): 3782-3797. DOI:10.1109/TIP.2018.2826139.
[4] Yang W M, Zhang X C, Tian Y P, et al. Deep learning for single image super-resolution: a brief review[J]. IEEE Transactions on Multimedia, 2019, 21(12): 3106-3121. DOI:10.1109/TMM.2019.2919431.
[5] 刘克俭, 陈淼焱, 冯琦. 一种优化的迭代反投影超分辨率重建方法[J]. 遥感信息, 2019, 34(3): 14-18. DOI:10.3969/j.issn.1000-3177.2019.03.003.
[6] 陈健, 王伟国, 刘廷霞, 等. 基于梯度图的快速 POCS 超分辨率复原算法研究[J]. 仪器仪表学报, 2015, 36(2): 327-338. DOI:10.19650/j.cnki.cjsi.2015.02.011.
[7] Liu J S, Dai S S, Guo Z Y, et al. An improved POCS super-resolution infrared image reconstruction algorithm based on visual mechanism[J]. Infrared Physics & Technology, 2016, 78: 92-98. DOI:10.1016/j.infrared.2016.07.010.
[8] Liu C, Sun D Q. On Bayesian adaptive video super resolution[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2014, 36(2): 346-360. DOI:10.1109/TPAMI.2013.127.
[9] Chen J, Nunez-Yanez J L, Achim A. Bayesian video super-resolution with heavy-tailed prior models[J]. IEEE Transactions on Circuits and Systems for Video Technology, 2014, 24(6): 905-914. DOI:10.1109/TCSVT.2014.2302549.
[10] Zhang Q P, Zhang Y, Mao D Q, et al. A Bayesian super-resolution method for forward-looking scanning radar imaging based on split bregman [C]//2018 IEEE International Geoscience and Remote Sensing Symposium (IGARSS 2018). July 22-27, 2018, Valencia, Spain. IEEE, 2018: 5135-5138. DOI:10.1109/IGARSS.2018.8518359.
[11] Jiang J J, Chen C, Huang K B, et al. Noise robust position-patch based face super-resolution via Tikhonov regularized neighbor representation[J]. Information Sciences, 2016, 367/368: 354-372. DOI:10.1016/j.ins.2016.05.032.
[12] Bioucas-Dias J M, Figueiredo M A T, Oliveira J P. Total variation-based image deconvolution: a majorization-minimization approach [C]//2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings. May 14-19, 2006, Toulouse, France. IEEE, 2006: 861-864. DOI:10.1109/ICASSP.2006.1660479.
[13] Yuan Q Q, Zhang L P, Shen H F. Regional spatially adaptive total variation super-resolution with spatial information filtering and clustering[J]. IEEE Transactions on Image Processing, 2013, 22(6): 2327-2342. DOI:10.1109/TIP.2013.2251648.
[14] Yuan Q Q, Zhang L P, Shen H F. Multiframe super-resolution employing a spatially weighted total variation model[J]. IEEE Transactions on Circuits and Systems for Video Technology, 2012, 22(3): 379-392. DOI:10.1109/TCSVT.2011.2163447.
[15] Villena S, Vega M, Molina R, et al. Bayesian super-resolution image reconstruction using an ℓ1 prior [C]//2009 Proceedings of 6th International Symposium on Image and Signal Processing and Analysis. September 16-18, 2009, Salzburg, Austria. IEEE, 2009: 152-157. DOI:10.1109/ISPA.2009.5297740.
[16] Xu L, Lu C W, Xu Y, et al. Image smoothing via L0 gradient minimization[J]. ACM Transactions on Graphics, 2011, 30(6):1-12. DOI:10.1145/2070781.2024208.
[17] 张剑, 刘萍萍. 基于 L0 范数和稀疏编码的单幅图像超分辨率重建方法[J]. 电子测量与仪器学报, 2018,32 (11): 194-201. DOI:10.13382/j.jemi.2018.11.026.
[18] He Y, Yap K H, Chen L, et al. A nonlinear least square technique for simultaneous image registration and super-Resolution[J]. IEEE Transactions on Image Processing, 2007, 16(11): 2830-2841. DOI:10.1109/TIP.2007.908074.